메뉴 건너뛰기




Volumn 175, Issue 1, 2010, Pages 247-286

A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid

Author keywords

Bipolarity; Capacity; Choquet integral; Preferences; Sugeno integral

Indexed keywords


EID: 76749159754     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1007/s10479-009-0655-8     Document Type: Article
Times cited : (392)

References (113)
  • 2
    • 0000588240 scopus 로고    scopus 로고
    • Applications of the MACBETH approach in the framework of an additive aggregation model
    • Bana e Costa, C. A. & Vansnick, J.-C. (1997). Applications of the MACBETH approach in the framework of an additive aggregation model. Journal of Multicriteria Decision Analysis, 6, 107-114.
    • (1997) Journal of Multicriteria Decision Analysis , vol.6 , pp. 107-114
    • Bana e Costa, C.A.1    Vansnick, J.-C.2
  • 3
    • 0002663119 scopus 로고    scopus 로고
    • The MACBETH approach: Basic ideas, software and an application
    • N. Meskens and M. Roubens (Eds.), Dordrecht: Kluwer Academic
    • Bana e Costa, C. A. & Vansnick, J.-C. (1999). The MACBETH approach: basic ideas, software and an application. In N. Meskens & M. Roubens (Eds.), Advances in decision analysis (pp. 131-157). Dordrecht: Kluwer Academic.
    • (1999) Advances in Decision Analysis , pp. 131-157
    • Bana e Costa, C.A.1    Vansnick, J.-C.2
  • 4
    • 34247606891 scopus 로고    scopus 로고
    • Monitoring the improvement of an overall industrial performance based on a Choquet integral aggregation
    • Berrah, L., Mauris, G., & Montmain, J. (2008). Monitoring the improvement of an overall industrial performance based on a Choquet integral aggregation. Omega, 36(3), 340-351.
    • (2008) Omega , vol.36 , Issue.3 , pp. 340-351
    • Berrah, L.1    Mauris, G.2    Montmain, J.3
  • 7
    • 33750832071 scopus 로고    scopus 로고
    • An axiomatic approach to noncompensatory scoring methods in MCDM, I: The case of two categories
    • Bouyssou, D., & Marchant, Th. (2007a). An axiomatic approach to noncompensatory scoring methods in MCDM, I: the case of two categories. European Journal of Operational Research, 178, 217-245.
    • (2007) European Journal of Operational Research , vol.178 , pp. 217-245
    • Bouyssou, D.1    Marchant, T.2
  • 8
    • 33750831821 scopus 로고    scopus 로고
    • An axiomatic approach to noncompensatory scoring methods in MCDM, II: More than two categories
    • Bouyssou, D., & Marchant, Th. (2007b). An axiomatic approach to noncompensatory scoring methods in MCDM, II: more than two categories. European Journal of Operational Research, 178, 246-276.
    • (2007) European Journal of Operational Research , vol.178 , pp. 246-276
    • Bouyssou, D.1    Marchant, T.2
  • 9
    • 76749136929 scopus 로고    scopus 로고
    • A conjoint measurement approach to the discrete Sugeno integral. A note on a result of Greco, Matarazzo and Słowiński
    • Bouyssou, D., Marchant, Th., & Pirlot, M. (2006). A conjoint measurement approach to the discrete Sugeno integral. A note on a result of Greco, Matarazzo and Słowiński. Annales du LAMSADE, 6, 39-60.
    • (2006) Annales Du LAMSADE , vol.6 , pp. 39-60
    • Bouyssou, D.1    Marchant, T.2    Pirlot, M.3
  • 11
    • 32044470821 scopus 로고    scopus 로고
    • A genetic algorithm for the identification of fuzzy measures from sample data
    • Istanbul, Turkey, June 2003
    • Combarro, E., & Miranda, P. (2009). A genetic algorithm for the identification of fuzzy measures from sample data. In International fuzzy systems association world congress (IFSA 2003) (pp. 163-166), Istanbul, Turkey, June 2003.
    • (2009) International Fuzzy Systems Association World Congress (IFSA 2003) , pp. 163-166
    • Combarro, E.1    Miranda, P.2
  • 12
    • 0033322891 scopus 로고    scopus 로고
    • Interaction transform of set functions over a finite set
    • Denneberg, D., & Grabisch, M. (1999). Interaction transform of set functions over a finite set. Information Sciences, 121, 149-170.
    • (1999) Information Sciences , vol.121 , pp. 149-170
    • Denneberg, D.1    Grabisch, M.2
  • 14
    • 84959350341 scopus 로고    scopus 로고
    • Bridging the gap between discrete Sugeno and Choquet integrals
    • Heidelberg, Germany, 22-24 June 2005
    • Dubois, D., & Fargier, H. (2005). Bridging the gap between discrete Sugeno and Choquet integrals. In Workshop on risk, utility and decision (RUD'2005), Heidelberg, Germany, 22-24 June 2005.
    • (2005) Workshop On Risk, Utility and Decision (Rud'2005)
    • Dubois, D.1    Fargier, H.2
  • 15
    • 0002548292 scopus 로고    scopus 로고
    • Fuzzy sets: History and basic notions
    • The handbooks of fuzzy sets, D. Dubois and H. Prade (Eds.), Dordrecht: Kluwer Academic
    • Dubois, D., Ostasiewicz, W., & Prade, H. (2000a). Fuzzy sets: history and basic notions. In D. Dubois & H. Prade (Eds.), The handbooks of fuzzy sets: Vol. 1. Fundamentals of fuzzy sets (pp. 21-124). Dordrecht: Kluwer Academic.
    • (2000) Fundamentals of Fuzzy Sets , vol.1 , pp. 21-124
    • Dubois, D.1    Ostasiewicz, W.2    Prade, H.3
  • 16
    • 0007884615 scopus 로고    scopus 로고
    • Qualitative decision theory with Sugeno integrals
    • M. Grabisch, T. Murofushi, and M. Sugeno (Eds.), Heidelberg: Physica-Verlag
    • Dubois, D., Prade, H., & Sabbadin, R. (2000b). Qualitative decision theory with Sugeno integrals. In M. Grabisch, T. Murofushi, & M. Sugeno (Eds.), Fuzzy measures and integrals-theory and applications (pp. 314-332). Heidelberg: Physica-Verlag.
    • (2000) Fuzzy Measures and Integrals-Theory and Applications , pp. 314-332
    • Dubois, D.1    Prade, H.2    Sabbadin, R.3
  • 19
    • 0141661043 scopus 로고
    • Weighted conjunctive and disjunctive means and their application in system evaluation
    • Dujmović, J. J. (1974). Weighted conjunctive and disjunctive means and their application in system evaluation. In Univ. Beograd. Publ. Elektrotechn. Fak. (pp. 147-158).
    • (1974) Univ. Beograd. Publ. Elektrotechn. Fak , pp. 147-158
    • Dujmović, J.J.1
  • 20
    • 16244390560 scopus 로고    scopus 로고
    • Qualitative decision under uncertainty: Back to expected utility
    • Fargier, H., & Sabbadin, R. (2005). Qualitative decision under uncertainty: back to expected utility. Artificial Intelligence, 164, 245-280.
    • (2005) Artificial Intelligence , vol.164 , pp. 245-280
    • Fargier, H.1    Sabbadin, R.2
  • 22
    • 38349112371 scopus 로고    scopus 로고
    • A game theoretical approach to the classification problem in gene expression data analysis
    • Fragnelli, V., & Moretti, S. (2008). A game theoretical approach to the classification problem in gene expression data analysis. Computers and Mathematics with Applications, 55, 950-959.
    • (2008) Computers and Mathematics with Applications , vol.55 , pp. 950-959
    • Fragnelli, V.1    Moretti, S.2
  • 23
    • 1642306071 scopus 로고    scopus 로고
    • Hierarchical decomposition of the Choquet integral
    • M. Grabisch, T. Murofushi, and M. Sugeno (Eds.), Heidelberg: Physica-Verlag
    • Fujimoto, K., & Murofushi, T. (2000). Hierarchical decomposition of the Choquet integral. In M. Grabisch, T. Murofushi, & M. Sugeno (Eds.), Fuzzy measures and integrals-theory and applications (pp. 94-104). Heidelberg: Physica-Verlag.
    • (2000) Fuzzy Measures and Integrals-Theory and Applications , pp. 94-104
    • Fujimoto, K.1    Murofushi, T.2
  • 24
    • 33644883016 scopus 로고    scopus 로고
    • Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices
    • Fujimoto, K., Kojadinovic, I., & Marichal, J.-L. (2006). Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices. Games and Economic Behavior, 55, 72-99.
    • (2006) Games and Economic Behavior , vol.55 , pp. 72-99
    • Fujimoto, K.1    Kojadinovic, I.2    Marichal, J.-L.3
  • 26
    • 0030105047 scopus 로고    scopus 로고
    • The application of fuzzy integrals in multicriteria decision making
    • Grabisch, M. (1996). The application of fuzzy integrals in multicriteria decision making. European Journal of Operational Research, 89, 445-456.
    • (1996) European Journal of Operational Research , vol.89 , pp. 445-456
    • Grabisch, M.1
  • 27
    • 0000870802 scopus 로고    scopus 로고
    • K-order additive discrete fuzzy measures and their representation
    • Grabisch, M. (1997a). k-order additive discrete fuzzy measures and their representation. Fuzzy Sets and Systems, 92, 167-189.
    • (1997) Fuzzy Sets and Systems , vol.92 , pp. 167-189
    • Grabisch, M.1
  • 29
    • 0012548095 scopus 로고    scopus 로고
    • The interaction and Möbius representations of fuzzy measures on finite spaces, k-additive measures: A survey
    • M. Grabisch, T. Murofushi, and M. Sugeno (Eds.), Heidelberg: Physica-Verlag
    • Grabisch, M. (2000). The interaction and Möbius representations of fuzzy measures on finite spaces, k-additive measures: a survey. In M. Grabisch, T. Murofushi, & M. Sugeno (Eds.), Fuzzy measures and integrals-theory and applications (pp. 70-93). Heidelberg: Physica-Verlag.
    • (2000) Fuzzy Measures and Integrals-Theory and Applications , pp. 70-93
    • Grabisch, M.1
  • 30
    • 33645351661 scopus 로고    scopus 로고
    • Set function over finite sets: Transformations and integrals
    • E. Pap (Ed.), Amsterdam: Elsevier Science
    • Grabisch, M. (2002). Set function over finite sets: transformations and integrals. In E. Pap (Ed.), Handbook of measure theory (pp. 1381-1401). Amsterdam: Elsevier Science.
    • (2002) Handbook of Measure Theory , pp. 1381-1401
    • Grabisch, M.1
  • 31
    • 0141865548 scopus 로고    scopus 로고
    • The symmetric Sugeno integral
    • Grabisch, M. (2003a). The symmetric Sugeno integral. Fuzzy Sets and Systems, 139, 473-490.
    • (2003) Fuzzy Sets and Systems , vol.139 , pp. 473-490
    • Grabisch, M.1
  • 32
    • 7244243604 scopus 로고    scopus 로고
    • Modelling data by the Choquet integral
    • V. Torra (Ed.), Paris: Physica-Verlag
    • Grabisch, M. (2003b). Modelling data by the Choquet integral. In V. Torra (Ed.), Information fusion in data mining (pp. 135-148). Paris: Physica-Verlag.
    • (2003) Information Fusion in Data Mining , pp. 135-148
    • Grabisch, M.1
  • 33
    • 4644296070 scopus 로고    scopus 로고
    • The Möbius function on symmetric ordered structures and its application to capacities on finite sets
    • Grabisch, M. (2004a). The Möbius function on symmetric ordered structures and its application to capacities on finite sets. Discrete Mathematics, 287(1-3), 17-34.
    • (2004) Discrete Mathematics , vol.287 , Issue.1-3 , pp. 17-34
    • Grabisch, M.1
  • 35
    • 67549123716 scopus 로고    scopus 로고
    • Évaluation subjective
    • Concepts et méthodes pour l'aide à la décision, D. Bouyssou, D. Dubois, M. Pirlot, and H. Prade (Eds.), Paris: Hermès
    • Grabisch, M. (2005). Évaluation subjective. In D. Bouyssou, D. Dubois, M. Pirlot, & H. Prade (Eds.), Concepts et méthodes pour l'aide à la décision: Vol. 3. Analyse multicritère, IC2 (pp. 175-232). Paris: Hermès.
    • (2005) Analyse multicritère, IC2 , vol.3 , pp. 175-232
    • Grabisch, M.1
  • 38
    • 13644281303 scopus 로고    scopus 로고
    • Bi-capacities, part I: Definition, Möbius transform and interaction
    • Grabisch, M., & Labreuche, Ch. (2005a). Bi-capacities, part I: definition, Möbius transform and interaction. Fuzzy Sets and Systems, 151, 211-236.
    • (2005) Fuzzy Sets and Systems , vol.151 , pp. 211-236
    • Grabisch, M.1    Labreuche, C.2
  • 39
    • 84890034034 scopus 로고    scopus 로고
    • Fuzzy measures and integrals in MCDA
    • J. Figueira, S. Greco, and M. Ehrgott (Eds.), Dordrecht: Kluwer Academic
    • Grabisch, M., & Labreuche, Ch. (2005b). Fuzzy measures and integrals in MCDA. In J. Figueira, S. Greco, & M. Ehrgott (Eds.), Multiple criteria decision analysis (pp. 563-608). Dordrecht: Kluwer Academic.
    • (2005) Multiple Criteria Decision Analysis , pp. 563-608
    • Grabisch, M.1    Labreuche, C.2
  • 40
    • 13644254932 scopus 로고    scopus 로고
    • Bi-capacities, part II: The Choquet integral
    • Grabisch, M., & Labreuche, Ch. (2005c). Bi-capacities, part II: the Choquet integral. Fuzzy Sets and Systems, 151, 237-259.
    • (2005) Fuzzy Sets and Systems , vol.151 , pp. 237-259
    • Grabisch, M.1    Labreuche, C.2
  • 41
    • 39449126803 scopus 로고    scopus 로고
    • A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid
    • doi:10.1007/s10288-007-0064-2
    • Grabisch, M., & Labreuche, Ch. (2008). A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid. 4OR, 6, 1-44. doi: 10. 1007/s10288-007-0064-2.
    • (2008) 4or , vol.6 , pp. 1-44
    • Grabisch, M.1    Labreuche, C.2
  • 43
    • 50549100416 scopus 로고    scopus 로고
    • An empirical study of statistical properties of Choquet and Sugeno integrals
    • Grabisch, M., & Raufaste, E. (2008). An empirical study of statistical properties of Choquet and Sugeno integrals. IEEE Transactions on Fuzzy Systems, 16, 839-850.
    • (2008) IEEE Transactions on Fuzzy Systems , vol.16 , pp. 839-850
    • Grabisch, M.1    Raufaste, E.2
  • 44
    • 0033483419 scopus 로고    scopus 로고
    • An axiomatic approach to the concept of interaction among players in cooperative games
    • Grabisch, M., & Roubens, M. (1999). An axiomatic approach to the concept of interaction among players in cooperative games. International Journal of Game Theory, 28, 547-565.
    • (1999) International Journal of Game Theory , vol.28 , pp. 547-565
    • Grabisch, M.1    Roubens, M.2
  • 47
    • 0037411056 scopus 로고    scopus 로고
    • On the extension of pseudo-Boolean functions for the aggregation of interacting bipolar criteria
    • Grabisch, M., Labreuche, Ch., & Vansnick, J.-C. (2003). On the extension of pseudo-Boolean functions for the aggregation of interacting bipolar criteria. European Journal of Operational Research, 148, 28-47.
    • (2003) European Journal of Operational Research , vol.148 , pp. 28-47
    • Grabisch, M.1    Labreuche, C.2    Vansnick, J.-C.3
  • 48
    • 51049091865 scopus 로고    scopus 로고
    • Bipolar and bivariate models in multicriteria decision analysis: Descriptive and constructive approaches
    • Grabisch, M., Greco, S., & Pirlot, M. (2008a). Bipolar and bivariate models in multicriteria decision analysis: descriptive and constructive approaches. International Journal of Intelligent Systems, 23(9), 930-969.
    • (2008) International Journal of Intelligent Systems , vol.23 , Issue.9 , pp. 930-969
    • Grabisch, M.1    Greco, S.2    Pirlot, M.3
  • 49
    • 35349002726 scopus 로고    scopus 로고
    • A review of capacity identification methods for Choquet integral based multi-attribute utility theory-applications of the Kappalab R package
    • Grabisch, M., Kojadinovic, I., & Meyer, P. (2008b). A review of capacity identification methods for Choquet integral based multi-attribute utility theory-applications of the Kappalab R package. European Journal of Operational Research, 186, 766-785.
    • (2008) European Journal of Operational Research , vol.186 , pp. 766-785
    • Grabisch, M.1    Kojadinovic, I.2    Meyer, P.3
  • 51
    • 2642582420 scopus 로고    scopus 로고
    • Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules
    • Greco, S., Matarazzo, B., & Słowiński, R. (2004). Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules. European Journal of Operational Research, 158(2), 271-292.
    • (2004) European Journal of Operational Research , vol.158 , Issue.2 , pp. 271-292
    • Greco, S.1    Matarazzo, B.2    Słowiński, R.3
  • 52
    • 0002453010 scopus 로고
    • Quantification method of classification processes: Concept of structural a-entropy
    • Havrda, J., & Charvat, F. (1967). Quantification method of classification processes: concept of structural a-entropy. Kybernetika, 3, 30-95.
    • (1967) Kybernetika , vol.3 , pp. 30-95
    • Havrda, J.1    Charvat, F.2
  • 54
    • 33751421504 scopus 로고    scopus 로고
    • A weight-based approach to the measurement of the interaction among criteria in the framework of aggregation by the bipolar Choquet integral
    • Kojadinovic, I. (2007b). A weight-based approach to the measurement of the interaction among criteria in the framework of aggregation by the bipolar Choquet integral. European Journal of Operational Research, 179, 498-517.
    • (2007) European Journal of Operational Research , vol.179 , pp. 498-517
    • Kojadinovic, I.1
  • 56
    • 0010717938 scopus 로고    scopus 로고
    • A hierarchical subjective evaluation model using non-monotonic fuzzy measures and the Choquet integral
    • M. Grabisch, T. Murofushi, and M. Sugeno (Eds.), Heidelberg: Physica-Verlag
    • Kwon, S. H., & Sugeno, M. (2000). A hierarchical subjective evaluation model using non-monotonic fuzzy measures and the Choquet integral. In M. Grabisch, T. Murofushi, & M. Sugeno (Eds.), Fuzzy measures and integrals-theory and applications (pp. 375-391). Heidelberg: Physica-Verlag.
    • (2000) Fuzzy Measures and Integrals-Theory and Applications , pp. 375-391
    • Kwon, S.H.1    Sugeno, M.2
  • 58
    • 39449132705 scopus 로고    scopus 로고
    • Argumentation of the results of a multi-criteria evaluation model in individual and group decision aiding
    • Barcelona, Spain, 7-9 September 2005
    • Labreuche, Ch. (2005). Argumentation of the results of a multi-criteria evaluation model in individual and group decision aiding. In International conference of the Euro society for fuzzy logic and technology (EUSFLAT) (pp. 482-487), Barcelona, Spain, 7-9 September 2005.
    • (2005) International Conference of The Euro Society For Fuzzy Logic and Technology (EUSFLAT) , pp. 482-487
    • Labreuche, C.1
  • 61
    • 0038548150 scopus 로고    scopus 로고
    • The Choquet integral for the aggregation of interval scales in multicriteria decision making
    • Labreuche, Ch., & Grabisch, M. (2003). The Choquet integral for the aggregation of interval scales in multicriteria decision making. Fuzzy Sets & Systems, 137, 11-26.
    • (2003) Fuzzy Sets & Systems , vol.137 , pp. 11-26
    • Labreuche, C.1    Grabisch, M.2
  • 62
    • 39449104473 scopus 로고    scopus 로고
    • Partially unipolar bi-capacities in MCDM
    • Yokohama, Japan, 21-24 September 2004
    • Labreuche, Ch., & Grabisch, M. (2004). Partially unipolar bi-capacities in MCDM. In SCIS-ISIS, Yokohama, Japan, 21-24 September 2004.
    • (2004) SCIS-ISIS
    • Labreuche, C.1    Grabisch, M.2
  • 63
    • 33646526521 scopus 로고    scopus 로고
    • Generalized Choquet-like aggregation functions for handling ratio scales
    • Labreuche, Ch., & Grabisch, M. (2006a). Generalized Choquet-like aggregation functions for handling ratio scales. European Journal of Operational Research, 172, 931-955.
    • (2006) European Journal of Operational Research , vol.172 , pp. 931-955
    • Labreuche, C.1    Grabisch, M.2
  • 65
    • 34547275897 scopus 로고    scopus 로고
    • The representation of conditional relative importance between criteria
    • Labreuche, Ch., & Grabisch, M. (2007). The representation of conditional relative importance between criteria. Annals of Operations Research, 154, 93-122.
    • (2007) Annals of Operations Research , vol.154 , pp. 93-122
    • Labreuche, C.1    Grabisch, M.2
  • 70
    • 0002716901 scopus 로고
    • Submodular functions and convexity
    • A. Bachem, M. Grötschel, and B. Korte (Eds.), Berlin: Springer
    • Lovász, L. (1983). Submodular functions and convexity. In A. Bachem, M. Grötschel, & B. Korte (Eds.), Mathematical programming. The state of the art (pp. 235-257). Berlin: Springer.
    • (1983) Mathematical Programming. The State of the Art , pp. 235-257
    • Lovász, L.1
  • 72
    • 0000989206 scopus 로고    scopus 로고
    • On Sugeno integral as an aggregation function
    • Marichal, J.-L. (2000). On Sugeno integral as an aggregation function. Fuzzy Sets and Systems, 114, 347-365.
    • (2000) Fuzzy Sets and Systems , vol.114 , pp. 347-365
    • Marichal, J.-L.1
  • 73
    • 0035245386 scopus 로고    scopus 로고
    • An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework
    • Marichal, J.-L. (2001). An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework. IEEE Transactions on Fuzzy Systems, 9(1), 164-172.
    • (2001) IEEE Transactions on Fuzzy Systems , vol.9 , Issue.1 , pp. 164-172
    • Marichal, J.-L.1
  • 74
    • 0742308748 scopus 로고    scopus 로고
    • Aggregation of interacting criteria by means of the discrete Choquet integral
    • Studies in fuzziness and soft computing, T. Calvo, G. Mayor, and R. Mesiar (Eds.), Heidelberg: Physica-Verlag
    • Marichal, J.-L. (2002). Aggregation of interacting criteria by means of the discrete Choquet integral. In T. Calvo, G. Mayor, & R. Mesiar (Eds.), Studies in fuzziness and soft computing: Vol. 97. Aggregation operators: new trends and applications (pp. 224-244). Heidelberg: Physica-Verlag.
    • (2002) Aggregation Operators: New Trends and Applications , vol.97 , pp. 224-244
    • Marichal, J.-L.1
  • 75
    • 0742266965 scopus 로고    scopus 로고
    • Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral
    • Marichal, J.-L. (2004). Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. European Journal of Operational Research, 155(3), 771-791.
    • (2004) European Journal of Operational Research , vol.155 , Issue.3 , pp. 771-791
    • Marichal, J.-L.1
  • 76
    • 33750834903 scopus 로고    scopus 로고
    • K-intolerant capacities and Choquet integrals
    • Marichal, J.-L. (2007). k-intolerant capacities and Choquet integrals. European Journal of Operational Research, 177(3), 1453-1468.
    • (2007) European Journal of Operational Research , vol.177 , Issue.3 , pp. 1453-1468
    • Marichal, J.-L.1
  • 77
    • 60149084845 scopus 로고    scopus 로고
    • Weighted lattice polynomials
    • to appear
    • Marichal, J.-L. (2009, to appear). Weighted lattice polynomials. Discrete Mathematics.
    • (2009) Discrete Mathematics
    • Marichal, J.-L.1
  • 78
    • 35649025384 scopus 로고    scopus 로고
    • Approximations of Lovász extensions and their induced interaction index
    • doi:10.1016/j.dam.2007.07.011
    • Marichal, J.-L., & Mathonet, P. (2007). Approximations of Lovász extensions and their induced interaction index. Discrete Applied Mathematics. doi: 10. 1016/j. dam. 2007. 07. 011.
    • (2007) Discrete Applied Mathematics
    • Marichal, J.-L.1    Mathonet, P.2
  • 79
    • 0033728780 scopus 로고    scopus 로고
    • Determination of weights of interacting criteria from a reference set
    • Marichal, J.-L., & Roubens, M. (2000). Determination of weights of interacting criteria from a reference set. European Journal of Operational Research, 124, 641-650.
    • (2000) European Journal of Operational Research , vol.124 , pp. 641-650
    • Marichal, J.-L.1    Roubens, M.2
  • 81
    • 78751538727 scopus 로고    scopus 로고
    • Choice, ranking and sorting in fuzzy multiple criteria decision aid
    • J. Figueira, S. Greco, and M. Ehrgott (Eds.), Dordrecht: Kluwer Academic
    • Meyer, P., & Roubens, M. (2005). Choice, ranking and sorting in fuzzy multiple criteria decision aid. In J. Figueira, S. Greco, & M. Ehrgott (Eds.), Multiple criteria decision analysis (pp. 471-506). Dordrecht: Kluwer Academic.
    • (2005) Multiple Criteria Decision Analysis , pp. 471-506
    • Meyer, P.1    Roubens, M.2
  • 84
    • 39449084343 scopus 로고    scopus 로고
    • Interprétation de la contribution d'un critère dans le contexte d'une amélioration multicritère basée sur une intégrale de Choquet
    • Nîmes, France
    • Montmain, J. (2007). Interprétation de la contribution d'un critère dans le contexte d'une amélioration multicritère basée sur une intégrale de Choquet. In Logique floue et applications (LFA), Nîmes, France.
    • (2007) Logique Floue Et Applications (LFA)
    • Montmain, J.1
  • 86
    • 0013440280 scopus 로고
    • A technique for reading fuzzy measures (I): The Shapley value with respect to a fuzzy measure
    • Nagaoka, Japan, October 1992 (in Japanese)
    • Murofushi, T. (1992). A technique for reading fuzzy measures (I): the Shapley value with respect to a fuzzy measure. In 2nd fuzzy workshop (pp. 39-48), Nagaoka, Japan, October 1992 (in Japanese).
    • (1992) 2nd Fuzzy Workshop , pp. 39-48
    • Murofushi, T.1
  • 87
    • 0035696226 scopus 로고    scopus 로고
    • Lexicographic use of Sugeno integrals and monotonicity conditions
    • Murofushi, T. (2001). Lexicographic use of Sugeno integrals and monotonicity conditions. IEEE Transactions on Fuzzy Systems, 9(6), 783-794.
    • (2001) IEEE Transactions on Fuzzy Systems , vol.9 , Issue.6 , pp. 783-794
    • Murofushi, T.1
  • 88
    • 0001882091 scopus 로고
    • Techniques for reading fuzzy measures (III): Interaction index
    • Sapporo, Japan, May 1993 (in Japanese)
    • Murofushi, T., & Soneda, S. (1993). Techniques for reading fuzzy measures (III): interaction index. In 9th fuzzy system symposium (pp. 693-696), Sapporo, Japan, May 1993 (in Japanese).
    • (1993) 9th Fuzzy System Symposium , pp. 693-696
    • Murofushi, T.1    Soneda, S.2
  • 89
    • 0001834979 scopus 로고    scopus 로고
    • Fuzzy measures and fuzzy integrals
    • M. Grabisch, T. Murofushi, and M. Sugeno (Eds.), Heidelberg: Physica-Verlag
    • Murofushi, T., & Sugeno, M. (2000). Fuzzy measures and fuzzy integrals. In M. Grabisch, T. Murofushi, & M. Sugeno (Eds.), Fuzzy measures and integrals-theory and applications (pp. 3-41). Heidelberg: Physica-Verlag.
    • (2000) Fuzzy Measures and Integrals-Theory and Applications , pp. 3-41
    • Murofushi, T.1    Sugeno, M.2
  • 90
    • 33846252269 scopus 로고    scopus 로고
    • Applying fuzzy measures for considering interaction effects in root dispersal models
    • Näther, W., & Wälder, K. (2007). Applying fuzzy measures for considering interaction effects in root dispersal models. Fuzzy Sets & Systems, 158, 572-582.
    • (2007) Fuzzy Sets & Systems , vol.158 , pp. 572-582
    • Näther, W.1    Wälder, K.2
  • 91
    • 39449104170 scopus 로고    scopus 로고
    • A methodological approach for operational and technical experimentation based evaluation of systems of systems architectures
    • Paris, France, 4-6 December 2007
    • Pignon, J. P., & Labreuche, Ch. (2007). A methodological approach for operational and technical experimentation based evaluation of systems of systems architectures. In International conference on software & systems engineering and their applications (ICSSEA), Paris, France, 4-6 December 2007.
    • (2007) International Conference On Software & Systems Engineering and Their Applications (ICSSEA)
    • Pignon, J.P.1    Labreuche, C.2
  • 94
    • 5644239805 scopus 로고    scopus 로고
    • Ordinal multiattribute sorting and ordering in the presence of interacting points of view
    • D. Bouyssou, E. Jacquet-Lagrèze, P. Perny, R. Slowinsky, D. Vanderpooten, and Ph. Vincke (Eds.), Dordrecht: Kluwer Academic
    • Roubens, M. (2001). Ordinal multiattribute sorting and ordering in the presence of interacting points of view. In D. Bouyssou, E. Jacquet-Lagrèze, P. Perny, R. Slowinsky, D. Vanderpooten, & Ph. Vincke (Eds.), Aiding decisions with multiple criteria: essays in honor of Bernard Roy (pp. 229-246). Dordrecht: Kluwer Academic.
    • (2001) Aiding Decisions with Multiple Criteria: Essays in Honor of Bernard Roy , pp. 229-246
    • Roubens, M.1
  • 97
    • 0001333688 scopus 로고
    • Subjective probability and expected utility without additivity
    • Schmeidler, D. (1989). Subjective probability and expected utility without additivity. Econometrica, 57(3), 571-587.
    • (1989) Econometrica , vol.57 , Issue.3 , pp. 571-587
    • Schmeidler, D.1
  • 98
    • 0001255447 scopus 로고
    • A value for n-person games
    • Annals of mathematics studies, H. W. Kuhn and A. W. Tucker (Eds.), Princeton: Princeton University Press
    • Shapley, L. S. (1953). A value for n-person games. In H. W. Kuhn & A. W. Tucker (Eds.), Annals of mathematics studies: Vol. 28. Contributions to the theory of games, Vol. II (pp. 307-317). Princeton: Princeton University Press.
    • (1953) Contributions to the Theory of Games , vol.28 II , pp. 307-317
    • Shapley, L.S.1
  • 99
    • 58149433367 scopus 로고
    • Rational choice and the structure of the environment
    • Simon, H. (1956). Rational choice and the structure of the environment. Psychological Review, 63(2), 129-138.
    • (1956) Psychological Review , vol.63 , Issue.2 , pp. 129-138
    • Simon, H.1
  • 100
    • 0021614279 scopus 로고
    • Extensions of functions of 0-1 variables and applications to combinatorial optimization
    • Singer, I. (1984). Extensions of functions of 0-1 variables and applications to combinatorial optimization. Numerical Functional Analysis and Optimization, 7(1), 23-62.
    • (1984) Numerical Functional Analysis and Optimization , vol.7 , Issue.1 , pp. 23-62
    • Singer, I.1
  • 101
    • 0001106394 scopus 로고
    • Integral with respect to a pre-measure
    • Šipoš, J. (1979). Integral with respect to a pre-measure. Mathematica Slovaca, 29, 141-155.
    • (1979) Mathematica Slovaca , vol.29 , pp. 141-155
    • Šipoš, J.1
  • 103
    • 0037841598 scopus 로고    scopus 로고
    • Axiomatization of utility, outranking and decision-rule preference models for multiple-criteria classification problems under partial inconsistency with the dominance principle
    • Słowiński, R., Greco, S., & Matarazzo, B. (2002). Axiomatization of utility, outranking and decision-rule preference models for multiple-criteria classification problems under partial inconsistency with the dominance principle. Control and Cybernetics, 31(4), 1005-1035.
    • (2002) Control and Cybernetics , vol.31 , Issue.4 , pp. 1005-1035
    • Słowiński, R.1    Greco, S.2    Matarazzo, B.3
  • 104
    • 39449090938 scopus 로고
    • Construction of fuzzy measures and evaluation of similarity patterns by fuzzy integral
    • (in Japanese)
    • Sugeno, M. (1973). Construction of fuzzy measures and evaluation of similarity patterns by fuzzy integral. Transactions of the SICE (Keisoku Jidōseigyō Gakkai), 9, 361-368 (in Japanese).
    • (1973) Transactions of the SICE (Keisoku Jidōseigyō Gakkai) , vol.9 , pp. 361-368
    • Sugeno, M.1
  • 106
    • 0002516156 scopus 로고
    • Fuzzy measures and fuzzy integrals-a survey
    • Gupta, Saridis, and Gaines (Eds.), Amsterdam: North-Holland
    • Sugeno, M. (1977). Fuzzy measures and fuzzy integrals-a survey. In Gupta, Saridis, & Gaines (Eds.), Fuzzy automata and decision processes (pp. 89-102). Amsterdam: North-Holland.
    • (1977) Fuzzy Automata and Decision Processes , pp. 89-102
    • Sugeno, M.1
  • 108
    • 0009984081 scopus 로고
    • A learning model using fuzzy measures and the Choquet integral
    • Kobe, Japan, June 1989 (in Japanese)
    • Tanaka, A., & Murofushi, T. (1989). A learning model using fuzzy measures and the Choquet integral. In 5th fuzzy system symposium (pp. 213-218), Kobe, Japan, June 1989 (in Japanese).
    • (1989) 5th Fuzzy System Symposium , pp. 213-218
    • Tanaka, A.1    Murofushi, T.2
  • 109
    • 76749151178 scopus 로고    scopus 로고
    • The h-index and the number of citations: Two fuzzy integrals
    • to appear
    • Torra, V., & Narukawa, Y. (2009, to appear). The h-index and the number of citations: two fuzzy integrals. IEEE Transactions on Fuzzy Systems.
    • (2009) IEEE Transactions On Fuzzy Systems
    • Torra, V.1    Narukawa, Y.2
  • 110
    • 31744450082 scopus 로고
    • Advances in prospect theory: Cumulative representation of uncertainty
    • Tversky, A., & Kahneman, D. (1992). Advances in prospect theory: cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297-323.
    • (1992) Journal of Risk and Uncertainty , vol.5 , pp. 297-323
    • Tversky, A.1    Kahneman, D.2
  • 111
    • 0001722694 scopus 로고    scopus 로고
    • A genetic algorithm for determining nonadditive set functions in information fusion
    • Wang, Z., Leung, K. S., & Wang, J. (1999). A genetic algorithm for determining nonadditive set functions in information fusion. Fuzzy Sets and Systems, 102, 462-469.
    • (1999) Fuzzy Sets and Systems , vol.102 , pp. 462-469
    • Wang, Z.1    Leung, K.S.2    Wang, J.3
  • 112
    • 39449124614 scopus 로고    scopus 로고
    • Recognition of arrows in line drawings based on the aggregation of geometric criteria using the Choquet integral
    • Edinburgh, UK, August 2003
    • Wendling, L., & Tabbone, S. (2003). Recognition of arrows in line drawings based on the aggregation of geometric criteria using the Choquet integral. In Seventh international conference on document analysis and recognition, ICDAR 2003 (pp. 299-303), Edinburgh, UK, August 2003.
    • (2003) Seventh International Conference On Document Analysis and Recognition, ICDAR 2003 , pp. 299-303
    • Wendling, L.1    Tabbone, S.2
  • 113
    • 0023855863 scopus 로고
    • On ordered weighted averaging aggregation operators in multicriteria decision making
    • Yager, R. R. (1988). On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems, Man & Cybernetics, 18, 183-190.
    • (1988) IEEE Transactions on Systems, Man & Cybernetics , vol.18 , pp. 183-190
    • Yager, R.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.