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Volumn 158, Issue 22, 2007, Pages 2429-2442

On the relevance of some families of fuzzy sets

Author keywords

Atanassov's intuitionistic fuzzy sets; Interval valued fuzzy sets; L fuzzy sets; Type 2 fuzzy sets

Indexed keywords

GRAPH THEORY; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 34548508874     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2007.04.021     Document Type: Article
Times cited : (118)

References (67)
  • 1
  • 3
    • 0005752491 scopus 로고    scopus 로고
    • Representation of consistent recursive rules
    • Amo A., Montero J., and Molina E. Representation of consistent recursive rules. Eur. J. Oper. Res. 130 (2001) 29-53
    • (2001) Eur. J. Oper. Res. , vol.130 , pp. 29-53
    • Amo, A.1    Montero, J.2    Molina, E.3
  • 4
    • 34548515966 scopus 로고    scopus 로고
    • K.T. Atanassov, Intuitionistic fuzzy sets, in: V. Sgurev (Ed.), VII ITKR's Session, Sofia, June 1983 (deposed in Central Science and Technical Library, Bulgarian Academy of Sciences, 1697/84, in Bulgarian).
  • 6
    • 38249004171 scopus 로고
    • More on intuitionistic fuzzy sets
    • Atanassov K.T. More on intuitionistic fuzzy sets. Fuzzy Sets and Systems 33 (1989) 37-45
    • (1989) Fuzzy Sets and Systems , vol.33 , pp. 37-45
    • Atanassov, K.T.1
  • 8
    • 26944448930 scopus 로고    scopus 로고
    • Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk and H. Prade's paper, Terminological difficulties in fuzzy set theory-the case of intuitionistic fuzzy sets
    • Atanassov K.T. Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk and H. Prade's paper, Terminological difficulties in fuzzy set theory-the case of intuitionistic fuzzy sets. Fuzzy Sets and Systems 156 (2005) 496-499
    • (2005) Fuzzy Sets and Systems , vol.156 , pp. 496-499
    • Atanassov, K.T.1
  • 9
    • 35748937072 scopus 로고    scopus 로고
    • K.T. Atanassov, My personal view on intuitionistic Fuzzy sets theory. In: H. Bustince et al. (Eds.), Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, Studies in Fuzziness and Soft Computing (Studfuzz) 220, Springer, Berlin, New York, 2007, pp. 25-46.
  • 10
    • 49349121666 scopus 로고
    • Fuzzy partitions and relations: an axiomatic basis for clustering
    • Bezdek J.C., and Harris J.D. Fuzzy partitions and relations: an axiomatic basis for clustering. Fuzzy Sets and Systems 1 (1978) 111-127
    • (1978) Fuzzy Sets and Systems , vol.1 , pp. 111-127
    • Bezdek, J.C.1    Harris, J.D.2
  • 11
    • 0038490668 scopus 로고    scopus 로고
    • Structures on intuitionistic fuzzy relations
    • Bustince H., and Burillo P. Structures on intuitionistic fuzzy relations. Fuzzy Sets and Systems 78 (1996) 293-303
    • (1996) Fuzzy Sets and Systems , vol.78 , pp. 293-303
    • Bustince, H.1    Burillo, P.2
  • 12
    • 0000196513 scopus 로고    scopus 로고
    • Vague sets are intuitionistic fuzzy sets
    • Bustince H., and Burillo P. Vague sets are intuitionistic fuzzy sets. Fuzzy Sets and Systems 79 (1996) 403-405
    • (1996) Fuzzy Sets and Systems , vol.79 , pp. 403-405
    • Bustince, H.1    Burillo, P.2
  • 13
    • 34548510135 scopus 로고    scopus 로고
    • H. Bustince, J. Montero, M. Pagola, E. Barrenechea, D. Gómez, A survey on interval-valued fuzzy sets, in: W. Pedrycz, A. Skowron, V. Kreinovichedrycz (Eds.), Handbook of Granular Computing, Wiley, New York, 2007, in press.
  • 14
    • 0000038149 scopus 로고
    • Additive fuzzy measures and integrals
    • Butnariu D. Additive fuzzy measures and integrals. J. Math. Anal. Appl. 93 (1983) 436-452
    • (1983) J. Math. Anal. Appl. , vol.93 , pp. 436-452
    • Butnariu, D.1
  • 15
    • 0012719654 scopus 로고    scopus 로고
    • Aggregation operators: properties, classes and construction methods
    • Calvo T., Mayor G., and Mesiar R. (Eds), Springer, New York
    • Calvo T., Kolesarova A., Komornikova M., and Mesiar R. Aggregation operators: properties, classes and construction methods. In: Calvo T., Mayor G., and Mesiar R. (Eds). Aggregation Operators (2002), Springer, New York 3-104
    • (2002) Aggregation Operators , pp. 3-104
    • Calvo, T.1    Kolesarova, A.2    Komornikova, M.3    Mesiar, R.4
  • 16
    • 33750719988 scopus 로고    scopus 로고
    • Basic intuitionistic principles in fuzzy set theories and its extensions (a terminological debate on Atanassov IFS)
    • Cattaneo G., and Ciucci D. Basic intuitionistic principles in fuzzy set theories and its extensions (a terminological debate on Atanassov IFS). Fuzzy Sets and Systems 157 (2006) 3198-3219
    • (2006) Fuzzy Sets and Systems , vol.157 , pp. 3198-3219
    • Cattaneo, G.1    Ciucci, D.2
  • 17
    • 33846563255 scopus 로고    scopus 로고
    • P. Cintula, Basics of a formal theory of fuzzy partitions, in: Proc. EUSFLAT'05 Conf., Technical University of Catalonia, Barcelona, 2005, pp. 884-888.
  • 18
    • 0242489336 scopus 로고    scopus 로고
    • Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application
    • Cornelis C., Deschrijver G., and Kerre E.E. Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application. Int. J. Approximate Reasoning 35 (2004) 55-95
    • (2004) Int. J. Approximate Reasoning , vol.35 , pp. 55-95
    • Cornelis, C.1    Deschrijver, G.2    Kerre, E.E.3
  • 19
  • 20
    • 35649004319 scopus 로고    scopus 로고
    • S. Coupland, R. John, Type-2 fuzzy logic and the modelling of uncertainty. In: H. Bustince et al. (Eds.), Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, Studies in Fuzziness and Soft Computing (Studfuzz) 220, Springer, Berlin, New York, 2007, pp. 3-23.
  • 23
    • 1542303729 scopus 로고    scopus 로고
    • On the representation of intuitionistic fuzzy t-norms and t-conorms
    • Deschrijver G., Cornelis C., and Kerre E.E. On the representation of intuitionistic fuzzy t-norms and t-conorms. IEEE Trans. Fuzzy Systems 12 (2004) 45-61
    • (2004) IEEE Trans. Fuzzy Systems , vol.12 , pp. 45-61
    • Deschrijver, G.1    Cornelis, C.2    Kerre, E.E.3
  • 24
    • 0037448308 scopus 로고    scopus 로고
    • On the relationship between some extensions of fuzzy sets theory
    • Deschrijver G., and Kerre E.E. On the relationship between some extensions of fuzzy sets theory. Fuzzy Sets and Systems 133 (2003) 227-235
    • (2003) Fuzzy Sets and Systems , vol.133 , pp. 227-235
    • Deschrijver, G.1    Kerre, E.E.2
  • 25
    • 26944497184 scopus 로고    scopus 로고
    • Terminological difficulties in fuzzy set theory-the case of intuitionistic fuzzy sets
    • Dubois D., Gottwald S., Hajek P., Kacprzyk J., and Prade H. Terminological difficulties in fuzzy set theory-the case of intuitionistic fuzzy sets. Fuzzy Sets and Systems 156 (2005) 485-491
    • (2005) Fuzzy Sets and Systems , vol.156 , pp. 485-491
    • Dubois, D.1    Gottwald, S.2    Hajek, P.3    Kacprzyk, J.4    Prade, H.5
  • 27
    • 0242437048 scopus 로고    scopus 로고
    • A graded quadrivalent logic for ordinal preference modelling: loyola-like approach
    • Fortemps P., and Slowinski R. A graded quadrivalent logic for ordinal preference modelling: loyola-like approach. Fuzzy Optimization and Decision Making 1 (2002) 93-111
    • (2002) Fuzzy Optimization and Decision Making , vol.1 , pp. 93-111
    • Fortemps, P.1    Slowinski, R.2
  • 29
    • 2942660072 scopus 로고    scopus 로고
    • A discussion on aggregation operators
    • Gómez D., and Montero J. A discussion on aggregation operators. Kybernetika 40 (2004) 107-120
    • (2004) Kybernetika , vol.40 , pp. 107-120
    • Gómez, D.1    Montero, J.2
  • 30
    • 34548512812 scopus 로고    scopus 로고
    • D. Gómez, J. Montero, G. Biging, Accuracy measures for fuzzy classification in remote sensing, in: Proc. IPMU'06 Conf., Editions E.D.K., Paris, 2006, pp. 1556-1563.
  • 31
    • 33748764680 scopus 로고    scopus 로고
    • A coloring algorithm for image classification
    • Gómez D., Montero J., and Yá nez J. A coloring algorithm for image classification. Inf. Sci. 176 (2006) 3645-3657
    • (2006) Inf. Sci. , vol.176 , pp. 3645-3657
    • Gómez, D.1    Montero, J.2    Yá nez, J.3
  • 35
    • 0012229239 scopus 로고    scopus 로고
    • Connectives for fuzzy partitions
    • Iancu I. Connectives for fuzzy partitions. Fuzzy Sets and Systems 101 (1999) 509-512
    • (1999) Fuzzy Sets and Systems , vol.101 , pp. 509-512
    • Iancu, I.1
  • 37
    • 16344371224 scopus 로고
    • A deeper look on fuzzy numbers from a theoretical as well as from a practical point of view
    • Gupta M.M., and Yamakawa T. (Eds), Elsevier, Amsterdam
    • Kerre E.E. A deeper look on fuzzy numbers from a theoretical as well as from a practical point of view. In: Gupta M.M., and Yamakawa T. (Eds). Fuzzy Logic in Knowledge-Based Systems, Decision and Control (1979), Elsevier, Amsterdam 153-164
    • (1979) Fuzzy Logic in Knowledge-Based Systems, Decision and Control , pp. 153-164
    • Kerre, E.E.1
  • 38
    • 0012228090 scopus 로고    scopus 로고
    • A new fuzzy resolution principle based on the antonym
    • Kim C.S., Kim D.S., and Park J.S. A new fuzzy resolution principle based on the antonym. Fuzzy Sets and Systems 113 (2000) 299-307
    • (2000) Fuzzy Sets and Systems , vol.113 , pp. 299-307
    • Kim, C.S.1    Kim, D.S.2    Park, J.S.3
  • 40
    • 0010795235 scopus 로고    scopus 로고
    • Fuzzy logic or Lukasiewicz logic: a clarification
    • Kundu S., and Chen J. Fuzzy logic or Lukasiewicz logic: a clarification. Fuzzy Sets and Systems 95 (1998) 369-379
    • (1998) Fuzzy Sets and Systems , vol.95 , pp. 369-379
    • Kundu, S.1    Chen, J.2
  • 41
    • 0033280741 scopus 로고    scopus 로고
    • A method for ranking fuzzy numbers and its application to decision-making
    • Lee-Kwang H., and Lee J.H. A method for ranking fuzzy numbers and its application to decision-making. IEEE Trans. Fuzzy Systems 7 (1999) 677-685
    • (1999) IEEE Trans. Fuzzy Systems , vol.7 , pp. 677-685
    • Lee-Kwang, H.1    Lee, J.H.2
  • 42
    • 33750023711 scopus 로고    scopus 로고
    • Advances in type-2 fuzzy sets and systems
    • Mendel J.M. Advances in type-2 fuzzy sets and systems. Inform. Sci. 117 (2007) 84-110
    • (2007) Inform. Sci. , vol.117 , pp. 84-110
    • Mendel, J.M.1
  • 44
  • 45
    • 1442308848 scopus 로고
    • Comprehensive fuzziness
    • Montero J. Comprehensive fuzziness. Fuzzy Sets and Systems 20 (1986) 86-89
    • (1986) Fuzzy Sets and Systems , vol.20 , pp. 86-89
    • Montero, J.1
  • 46
  • 47
    • 34548473102 scopus 로고    scopus 로고
    • J. Montero, D. Gómez, Preferences, classification and intuitionistic fuzzy sets, in: Proc. EUSFLAT'03 Conf. University of Applied Sciences, Zittau, 2003, pp. 187-192.
  • 48
    • 8844221474 scopus 로고    scopus 로고
    • Crisp acts, fuzzy decisions
    • Barro S., et al. (Ed), Universidad de Santiago de Compostela, Santiago de Compostela
    • Montero J., and Mendel M. Crisp acts, fuzzy decisions. In: Barro S., et al. (Ed). Advances in Fuzzy Logic (1998), Universidad de Santiago de Compostela, Santiago de Compostela 219-238
    • (1998) Advances in Fuzzy Logic , pp. 219-238
    • Montero, J.1    Mendel, M.2
  • 49
    • 0021230864 scopus 로고
    • A model for the measurement of membership and the consequences of its empirical implementation
    • Norwich A.M., and Turksen L.B. A model for the measurement of membership and the consequences of its empirical implementation. Fuzzy Sets and Systems 12 (1984) 1-25
    • (1984) Fuzzy Sets and Systems , vol.12 , pp. 1-25
    • Norwich, A.M.1    Turksen, L.B.2
  • 50
    • 0035900851 scopus 로고    scopus 로고
    • Antonyms and linguistic quantifiers in fuzzy logic
    • Novak V. Antonyms and linguistic quantifiers in fuzzy logic. Fuzzy Sets and Systems 124 (2001) 335-351
    • (2001) Fuzzy Sets and Systems , vol.124 , pp. 335-351
    • Novak, V.1
  • 51
    • 33646351019 scopus 로고    scopus 로고
    • Antonymy and negation-the boundness hypothesis
    • Paradis C., and Willners C. Antonymy and negation-the boundness hypothesis. J. Pragmatics 38 (2006) 1051-1080
    • (2006) J. Pragmatics , vol.38 , pp. 1051-1080
    • Paradis, C.1    Willners, C.2
  • 52
    • 84918983692 scopus 로고
    • A machine oriented logic based on the resolution principle
    • Robinson J.A. A machine oriented logic based on the resolution principle. J. ACM 12 (1965) 23-41
    • (1965) J. ACM , vol.12 , pp. 23-41
    • Robinson, J.A.1
  • 53
    • 0014534297 scopus 로고
    • A new approach to clustering
    • Ruspini E.H. A new approach to clustering. Inform. Control 15 (1969) 22-32
    • (1969) Inform. Control , vol.15 , pp. 22-32
    • Ruspini, E.H.1
  • 55
    • 84972539394 scopus 로고
    • Savage revisited
    • Shafer G. Savage revisited. Statist. Sci. 1 (1986) 463-501
    • (1986) Statist. Sci. , vol.1 , pp. 463-501
    • Shafer, G.1
  • 56
    • 0000041473 scopus 로고    scopus 로고
    • Distances between intuitionistic fuzzy sets
    • Szmidt E., and Kacprzyk J. Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems 114 (2000) 505-518
    • (2000) Fuzzy Sets and Systems , vol.114 , pp. 505-518
    • Szmidt, E.1    Kacprzyk, J.2
  • 57
    • 0000486524 scopus 로고
    • Intuitionistic fuzzy logic and intuitionistic fuzzy set theory
    • Takeuti G., and Titani S. Intuitionistic fuzzy logic and intuitionistic fuzzy set theory. J. Symblic Logic 49 (1984) 851-866
    • (1984) J. Symblic Logic , vol.49 , pp. 851-866
    • Takeuti, G.1    Titani, S.2
  • 58
    • 34548507719 scopus 로고    scopus 로고
    • E. Trillas, Sobre funciones de negación en la teoría de los subconjuntos difusos, Stochastica III-1 (1979) 47-59 (in Spanish). English version in S. Barro et al. (Eds.) (1998): Advances of Fuzzy Logic, Universidad de Santiago de Compostela, Santiago de Compostela, pp. 31-43.
  • 59
    • 33645036780 scopus 로고    scopus 로고
    • On the use of words and fuzzy sets
    • Trillas E. On the use of words and fuzzy sets. Inform. Sci. 176 (2006) 1463-1487
    • (2006) Inform. Sci. , vol.176 , pp. 1463-1487
    • Trillas, E.1
  • 60
    • 0000038881 scopus 로고
    • Interval valued fuzzy sets based on normal forms
    • Türksen I.B. Interval valued fuzzy sets based on normal forms. Fuzzy Sets and Systems 20 (1986) 191-210
    • (1986) Fuzzy Sets and Systems , vol.20 , pp. 191-210
    • Türksen, I.B.1
  • 61
    • 0023855863 scopus 로고
    • On ordered averaging aggregation operators in multicriteria decision making
    • Yager R.R. On ordered averaging aggregation operators in multicriteria decision making. IEEE Trans. Systems Man Cybernet. 18 (1988) 183-190
    • (1988) IEEE Trans. Systems Man Cybernet. , vol.18 , pp. 183-190
    • Yager, R.R.1
  • 63
  • 64
    • 0016458950 scopus 로고
    • The concept of linguistic variable and its application to approximate reasoning I
    • Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning I. Inform. Sci. 8 (1975) 199-249
    • (1975) Inform. Sci. , vol.8 , pp. 199-249
    • Zadeh, L.A.1
  • 65
    • 0016459349 scopus 로고
    • The concept of linguistic variable and its application to approximate reasoning II
    • Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning II. Inform. Sci. 8 (1975) 301-357
    • (1975) Inform. Sci. , vol.8 , pp. 301-357
    • Zadeh, L.A.1
  • 66
    • 0016631726 scopus 로고
    • The concept of linguistic variable and its application to approximate reasoning III
    • Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning III. Inform. Sci. 9 (1975) 43-80
    • (1975) Inform. Sci. , vol.9 , pp. 43-80
    • Zadeh, L.A.1
  • 67
    • 34548485322 scopus 로고    scopus 로고
    • L.A. Zadeh, J. Kacprzyk (Eds.), Computing with Words in Information-intelligent Systems, (2 vols.) Physica Verlag, Heidelberg, 1999.


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