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Volumn 220, Issue , 2013, Pages 21-33

Bipolar fuzzy integrals

Author keywords

Bi capacity; Bipolar fuzzy integrals; Multiple criteria evaluation; Non additive measures

Indexed keywords

AXIOMATIC CHARACTERIZATION; BI-CAPACITY; BI-POLAR CHOQUET INTEGRALS; FUZZY INTEGRAL; MULTIPLE-CRITERIA DECISION ANALYSIS; MULTIPLE-CRITERIA EVALUATION; NON-ADDITIVE MEASURE; SUGENO INTEGRALS;

EID: 84875741819     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2012.11.021     Document Type: Article
Times cited : (35)

References (28)
  • 1
    • 0012727441 scopus 로고    scopus 로고
    • Monotone set functions-based integrals
    • E. Pap (Ed.) Elsevier, Amsterdam
    • P. Benvenuti, R. Mesiar, D. Vivona, Monotone set functions-based integrals, in: E. Pap (Ed.), Handbook of Measure Theory, Elsevier, Amsterdam, 2002, pp. 1329-1379.
    • (2002) Handbook of Measure Theory , pp. 1329-1379
    • Benvenuti, P.1    Mesiar, R.2    Vivona, D.3
  • 2
    • 0012978521 scopus 로고    scopus 로고
    • Comonotone aggregation operators
    • P. Benvenuti, and D. Vivona Comonotone aggregation operators Rend. Mat. Appl. 20 2000 323 336
    • (2000) Rend. Mat. Appl. , vol.20 , pp. 323-336
    • Benvenuti, P.1    Vivona, D.2
  • 6
    • 51049091865 scopus 로고    scopus 로고
    • Bipolar and bivariate models in multicriteria decision analysis descriptive and constructive approaches
    • S. Greco, M. Grabisch, and M. Pirlot Bipolar and bivariate models in multicriteria decision analysis descriptive and constructive approaches Int. J. Intell. Syst. 23 2008 930 969
    • (2008) Int. J. Intell. Syst. , vol.23 , pp. 930-969
    • Greco, S.1    Grabisch, M.2    Pirlot, M.3
  • 7
    • 0030105047 scopus 로고    scopus 로고
    • The application of fuzzy integrals in multicriteria decision making
    • M. Grabisch The application of fuzzy integrals in multicriteria decision making Eur. J. Oper. Res. 89 1996 445 456
    • (1996) Eur. J. Oper. Res. , vol.89 , pp. 445-456
    • Grabisch, M.1
  • 8
    • 0141865548 scopus 로고    scopus 로고
    • The symmetric Sugeno integral
    • M. Grabisch The symmetric Sugeno integral Fuzzy Sets Syst. 139 2003 473 490
    • (2003) Fuzzy Sets Syst. , vol.139 , pp. 473-490
    • Grabisch, M.1
  • 9
    • 4644296070 scopus 로고    scopus 로고
    • The Möbius transform on symmetric ordered structures and its application to capacities on finite sets
    • M. Grabisch The Möbius transform on symmetric ordered structures and its application to capacities on finite sets Discrete Math. 287 2004 17 34
    • (2004) Discrete Math. , vol.287 , pp. 17-34
    • Grabisch, M.1
  • 10
    • 13644281303 scopus 로고    scopus 로고
    • Bi-capacities, Part i definition, Möbius transform and interaction
    • M. Grabisch, and C. Labreuche Bi-capacities, Part I definition, Möbius transform and interaction Fuzzy Sets Syst. 151 2005 211 236
    • (2005) Fuzzy Sets Syst. , vol.151 , pp. 211-236
    • Grabisch, M.1    Labreuche, C.2
  • 11
    • 13644254932 scopus 로고    scopus 로고
    • Bi-capacities, Part II the Choquet integral
    • M. Grabisch, and C. Labreuche Bi-capacities, Part II the Choquet integral Fuzzy Sets Syst. 151 2005 237 259
    • (2005) Fuzzy Sets Syst. , vol.151 , pp. 237-259
    • Grabisch, M.1    Labreuche, C.2
  • 14
    • 84868135194 scopus 로고    scopus 로고
    • Generalizing again the Choquet integral: The profile dependent Choquet integral
    • R. Mesiar, E.P. Klement, D. Dubois, M. Grabisch (Eds.)
    • S. Greco, Generalizing again the Choquet integral: the profile dependent Choquet integral, in: R. Mesiar, E.P. Klement, D. Dubois, M. Grabisch (Eds.), Decision Theory: Qualitative and Quantitative Approaches, 32nd Linz Seminar on Fuzzy Set Theory, 2011, pp. 66-79.
    • (2011) Decision Theory: Qualitative and Quantitative Approaches, 32nd Linz Seminar on Fuzzy Set Theory , pp. 66-79
    • Greco, S.1
  • 15
    • 79956273878 scopus 로고    scopus 로고
    • The Choquet integral with respect to a level dependent capacity
    • S. Greco, B. Matarazzo, and S. Giove The Choquet integral with respect to a level dependent capacity Fuzzy Sets Syst. 175 2011 1 35
    • (2011) Fuzzy Sets Syst. , vol.175 , pp. 1-35
    • Greco, S.1    Matarazzo, B.2    Giove, S.3
  • 18
    • 76849090447 scopus 로고    scopus 로고
    • A universal integral as common frame for Choquet and Sugeno integral
    • E.P. Klement, R. Mesiar, and E. Pap A universal integral as common frame for Choquet and Sugeno integral IEEE Trans. Fuzzy Syst. 18 2010 178 187
    • (2010) IEEE Trans. Fuzzy Syst. , vol.18 , pp. 178-187
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 19
    • 0035245386 scopus 로고    scopus 로고
    • An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework
    • J.L. Marichal An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework IEEE Trans. Fuzzy Syst. 9 2001 164 172
    • (2001) IEEE Trans. Fuzzy Syst. , vol.9 , pp. 164-172
    • Marichal, J.L.1
  • 21
    • 80052967057 scopus 로고    scopus 로고
    • Discrete Choquet integral and some of its symmetric extensions
    • R. Mesiar, A. Mesiarová-Zemánková, and K. Ahmad Discrete Choquet integral and some of its symmetric extensions Fuzzy Sets Syst. 184 2011 148 155
    • (2011) Fuzzy Sets Syst. , vol.184 , pp. 148-155
    • Mesiar, R.1    Mesiarová-Zemánková, A.2    Ahmad, K.3
  • 22
    • 0001518246 scopus 로고    scopus 로고
    • Regular fuzzy measure and representation of comonotonically additive functional
    • Y. Narukawa, T. Murofushi, and M. Sugeno Regular fuzzy measure and representation of comonotonically additive functional Fuzzy Sets Syst. 112 2000 177 186
    • (2000) Fuzzy Sets Syst. , vol.112 , pp. 177-186
    • Narukawa, Y.1    Murofushi, T.2    Sugeno, M.3
  • 23
    • 23844525188 scopus 로고    scopus 로고
    • A representation of a comonotone- -additive and monotone functional by two Sugeno integrals
    • E. Pap, and B.P. Mihailovic A representation of a comonotone- -additive and monotone functional by two Sugeno integrals Fuzzy Sets Syst. 155 2005 77 88
    • (2005) Fuzzy Sets Syst. , vol.155 , pp. 77-88
    • Pap, E.1    Mihailovic, B.P.2
  • 24
    • 84968501330 scopus 로고    scopus 로고
    • Integral representation without additivity
    • D. Schmeidler, Integral representation without additivity, Proc. Am. Math. Soc. 97 (198-62) 255-261.
    • Proc. Am. Math. Soc. , vol.97 , Issue.198-262 , pp. 255-261
    • Schmeidler, D.1
  • 25
    • 0001677575 scopus 로고
    • Maxitive measure and integration
    • N. Shilkret Maxitive measure and integration Indag. Math. 74 1971 109 116
    • (1971) Indag. Math. , vol.74 , pp. 109-116
    • Shilkret, N.1
  • 26
    • 0001106394 scopus 로고
    • Integral with respect to a pre-measure
    • J. Šipoš Integral with respect to a pre-measure Math. Slov. 29 1979 141 155
    • (1979) Math. Slov. , vol.29 , pp. 141-155
    • Šipoš, J.1
  • 28
    • 31744450082 scopus 로고
    • Advances in prospect theory cumulative representation of uncertainty
    • A. Tversky, and D. Kahneman Advances in prospect theory cumulative representation of uncertainty J. Risk Uncertainty 5 1992 297 323
    • (1992) J. Risk Uncertainty , vol.5 , pp. 297-323
    • Tversky, A.1    Kahneman, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.