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Volumn 138, Issue 1, 2003, Pages 67-82

A natural interpretation of fuzzy mappings

Author keywords

Extension principle; Fuzzy mappings; Fuzzy relations; Fuzzy sets; Heyting valued model; Intuitionistic set theory; Sheaf model

Indexed keywords

FUZZY SETS; MAPPING; MATHEMATICAL MODELS;

EID: 0038486925     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(02)00568-7     Document Type: Conference Paper
Times cited : (4)

References (35)
  • 2
    • 0020103428 scopus 로고
    • Fixed points for fuzzy mappings
    • Butnariu D. Fixed points for fuzzy mappings. Fuzzy Sets and Systems. 7:1982;191-207.
    • (1982) Fuzzy Sets and Systems , vol.7 , pp. 191-207
    • Butnariu, D.1
  • 4
    • 38249029442 scopus 로고
    • Coincidence degree and coincidence theorems for fuzzy mappings
    • Shih-sen Chang Coincidence degree and coincidence theorems for fuzzy mappings. Fuzzy Sets and Systems. 27:1988;327-334.
    • (1988) Fuzzy Sets and Systems , vol.27 , pp. 327-334
    • Shih-Sen, C.1
  • 6
    • 0001522260 scopus 로고    scopus 로고
    • Fuzzy functions and their fundamental properties
    • Demirci M. Fuzzy functions and their fundamental properties. Fuzzy Sets and Systems. 106:1999;239-246.
    • (1999) Fuzzy Sets and Systems , vol.106 , pp. 239-246
    • Demirci, M.1
  • 7
    • 0038589645 scopus 로고
    • Fuzzy cartesian product, fuzzy relations and fuzzy functions
    • Dib K.A., Youssef N.L. Fuzzy cartesian product, fuzzy relations and fuzzy functions. Fuzzy Sets and Systems. 41:1991;299-315.
    • (1991) Fuzzy Sets and Systems , vol.41 , pp. 299-315
    • Dib, K.A.1    Youssef, N.L.2
  • 10
    • 0020142384 scopus 로고
    • Towards fuzzy differential calculus, part 1: Integration of fuzzy mappings
    • Dubois D., Prade H. Towards fuzzy differential calculus, part 1: integration of fuzzy mappings. Fuzzy Sets and Systems. 8:1982;1-17.
    • (1982) Fuzzy Sets and Systems , vol.8 , pp. 1-17
    • Dubois, D.1    Prade, H.2
  • 11
    • 0008177154 scopus 로고
    • Functions, equivalence relations, quotient spaces and subsets in fuzzy set theory
    • Erceg M.A. Functions, equivalence relations, quotient spaces and subsets in fuzzy set theory. Fuzzy Sets and Systems. 3:1980;75-92.
    • (1980) Fuzzy Sets and Systems , vol.3 , pp. 75-92
    • Erceg, M.A.1
  • 13
    • 0006067118 scopus 로고
    • Set theory for fuzzy sets of higher level
    • Gottwald S. Set theory for fuzzy sets of higher level. Fuzzy Sets and Systems. 2:1979;125-151.
    • (1979) Fuzzy Sets and Systems , vol.2 , pp. 125-151
    • Gottwald, S.1
  • 14
    • 0013441257 scopus 로고
    • Fuzzy uniqueness of fuzzy mappings
    • Gottwald S. Fuzzy uniqueness of fuzzy mappings. Fuzzy Sets and Systems. 3:1980;49-74.
    • (1980) Fuzzy Sets and Systems , vol.3 , pp. 49-74
    • Gottwald, S.1
  • 16
    • 0003237949 scopus 로고    scopus 로고
    • Metamathematics of fuzzy logic
    • Dordrecht: Kluwer Academic Publishers
    • Hájek P. Metamathematics of Fuzzy Logic, Trends in Logic: Studia Logica Library 4. 1998;Kluwer Academic Publishers, Dordrecht.
    • (1998) Trends in Logic: Studia Logica Library , vol.4
    • Hájek, P.1
  • 17
    • 0000388180 scopus 로고
    • Fuzzy mappings and fixed point theorem
    • Heilpern S. Fuzzy mappings and fixed point theorem. J. Math. Anal. Appl. 83:1981;566-569.
    • (1981) J. Math. Anal. Appl. , vol.83 , pp. 566-569
    • Heilpern, S.1
  • 20
    • 38249040008 scopus 로고
    • Fuzzy relations and fuzzy functions
    • Nemitz W.C. Fuzzy relations and fuzzy functions. Fuzzy Sets and Systems. 19:1986;177-191.
    • (1986) Fuzzy Sets and Systems , vol.19 , pp. 177-191
    • Nemitz, W.C.1
  • 21
    • 49349119632 scopus 로고
    • A note on the extension principle for fuzzy sets
    • Nguyen H.T. A note on the extension principle for fuzzy sets. J. Math. Anal. Appl. 64:1978;369-380.
    • (1978) J. Math. Anal. Appl. , vol.64 , pp. 369-380
    • Nguyen, H.T.1
  • 23
    • 0000272850 scopus 로고
    • Structure of fuzzy binary relations
    • Ovchinnikov S.V. Structure of fuzzy binary relations. Fuzzy Sets and Systems. 6:1981;169-195.
    • (1981) Fuzzy Sets and Systems , vol.6 , pp. 169-195
    • Ovchinnikov, S.V.1
  • 24
    • 0038589643 scopus 로고
    • Extension principle in fuzzy optimization
    • Ramík J. Extension principle in fuzzy optimization. Fuzzy Sets and Systems. 19:1986;29-35.
    • (1986) Fuzzy Sets and Systems , vol.19 , pp. 29-35
    • Ramík, J.1
  • 25
    • 0002169837 scopus 로고    scopus 로고
    • Powerset operator foundations for poslat fuzzy set theories and topologies
    • U. Höhle, & S.E. Rodabaugh. Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Boston: Kluwer Academic Publishers
    • Rodabaugh S.E. Powerset operator foundations for poslat fuzzy set theories and topologies. Höhle U., Rodabaugh S.E. Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, The Handbooks of Fuzzy Sets Series 3. 1999;91-116 Kluwer Academic Publishers, Boston.
    • (1999) The Handbooks of Fuzzy Sets Series , vol.3 , pp. 91-116
    • Rodabaugh, S.E.1
  • 27
    • 0002801432 scopus 로고
    • Categorical aspects of Heyting-valued models for intuitionistic set theory
    • Shimoda M. Categorical aspects of Heyting-valued models for intuitionistic set theory. Comment. Math. Univ. Sancti Pauli. 30:1981;17-35.
    • (1981) Comment. Math. Univ. Sancti Pauli , vol.30 , pp. 17-35
    • Shimoda, M.1
  • 28
    • 0035791873 scopus 로고    scopus 로고
    • A natural interpretation of fuzzy set theory
    • M.H. Smith, W.A. Gruver, L.O. Hall (Eds.)
    • M. Shimoda, A natural interpretation of fuzzy set theory, in: M.H. Smith, W.A. Gruver, L.O. Hall (Eds.), Proc. Joint 9th IFSA World Congress and 20th NAFIPS Int. Conf. 2001, pp. 493-498.
    • (2001) Proc. Joint 9th IFSA World Congress and 20th NAFIPS Int. Conf. , pp. 493-498
    • Shimoda, M.1
  • 29
    • 0036603560 scopus 로고    scopus 로고
    • A natural interpretation of fuzzy sets and fuzzy relations
    • Shimoda M. A natural interpretation of fuzzy sets and fuzzy relations. Fuzzy Sets and Systems. 128:2002;135-147.
    • (2002) Fuzzy Sets and Systems , vol.128 , pp. 135-147
    • Shimoda, M.1
  • 31
    • 0030731802 scopus 로고    scopus 로고
    • A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings
    • Tsiporkova-Hristoskova E., De Baets B., Kerre E. A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings. Fuzzy Sets and Systems. 85:1997;93-108.
    • (1997) Fuzzy Sets and Systems , vol.85 , pp. 93-108
    • Tsiporkova-Hristoskova, E.1    De Baets, B.2    Kerre, E.3
  • 33
    • 0000023481 scopus 로고
    • A characterization of the extension principle
    • Yager R.R. A characterization of the extension principle. Fuzzy Sets and Systems. 18:1986;205-217.
    • (1986) Fuzzy Sets and Systems , vol.18 , pp. 205-217
    • Yager, R.R.1
  • 34
  • 35
    • 0016458950 scopus 로고
    • The concept of a linguistic variable and its application to approximate reasoning I
    • Zadeh L.A. The concept of a 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.