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Information Sciences
Volumn 252, Issue , 2013, Pages 32-41
Some properties of infinite fuzzy relational equations with sup-inf composition
Author keywords

Fuzzy relation; Fuzzy relational equation; Minimal solution; Solution set
Indexed keywords

ATTAINABLE SOLUTIONS; FUZZY RELATIONAL EQUATIONS; FUZZY RELATIONS; MINIMAL SOLUTIONS; SOLUTION SET; UNATTAINABLE SOLUTIONS;
EID: 84884280860     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2011.07.041     Document Type: Article
Times cited : (8)
References (28)
  • 1
    • 84875257019 scopus 로고    scopus 로고
    • Resolution of a system of the max-product fuzzy relation equations using LaU-factorization
    • A. Abbasi Molai, Resolution of a system of the max-product fuzzy relation equations using LaU-factorization, Information Sciences, 234 (2011) 86-96.
    • (2011) Information Sciences , vol.234 , pp. 86-96
    • Abbasi Molai, A.1
  • 2
    • 37249037693 scopus 로고    scopus 로고
    • An algorithm for solving fuzzy relation equations with max-T composition operator
    • A. Abbasi Molai, and E. Khorram An algorithm for solving fuzzy relation equations with max-T composition operator Inform. Sci. 178 2008 1293 1308
    • (2008) Inform. Sci. , vol.178 , pp. 1293-1308
    • Abbasi Molai, A.1    Khorram, E.2
  • 3
    • 84884283681 scopus 로고
    • 3rd ed. American Mathematical Society Colloquium Publications Providence, R.I.
    • G. Birkhoff 3rd ed. Lattice theory vol, XXV 1979 American Mathematical Society Colloquium Publications Providence, R.I.
    • (1979) Lattice Theory , vol.25
    • Birkhoff, G.1
  • 4
    • 0001634914 scopus 로고    scopus 로고
    • Analytical solution methods for fuzzy relational equations
    • D. Dubois, H. Prade, Kluwer Academic Publishers. Dordrecht
    • B. De Baets Analytical solution methods for fuzzy relational equations D. Dubois, H. Prade, The Handbooks of Fuzzy Sets Series vol. 1 2000 Kluwer Academic Publishers. Dordrecht 291 340
    • (2000) The Handbooks of Fuzzy Sets Series , vol.1 VOL. , pp. 291-340
    • De Baets, B.1
  • 5
    • 84972974818 scopus 로고
    • Minimal and maximal solutions of a decomposition problem of fuzzy relations
    • A. Di Nola, S. Sessa, W. Pedrycz, and M. Higashi Minimal and maximal solutions of a decomposition problem of fuzzy relations Int. J. General Syst. 11 1985 103 116
    • (1985) Int. J. General Syst. , vol.11 , pp. 103-116
    • Di Nola, A.1    Sessa, S.2    Pedrycz, W.3    Higashi, M.4
  • 7
    • 0000386859 scopus 로고    scopus 로고
    • Unattinable solutions of a fuzzy relation equation
    • H. Imai, K. Kikuchi, and M. Miyakoshi Unattinable solutions of a fuzzy relation equation Fuzzy Sets Syst. 99 1998 193 196
    • (1998) Fuzzy Sets Syst. , vol.99 , pp. 193-196
    • Imai, H.1    Kikuchi, K.2    Miyakoshi, M.3
  • 8
    • 0000390842 scopus 로고    scopus 로고
    • Some properties of minimal solutions for a fuzzy equation
    • H. Imai, M. Miyakoshi, and T. Date Some properties of minimal solutions for a fuzzy equation Fuzzy Sets Syst. 90 1997 335 340
    • (1997) Fuzzy Sets Syst. , vol.90 , pp. 335-340
    • Imai, H.1    Miyakoshi, M.2    Date, T.3
  • 9
    • 79955483526 scopus 로고    scopus 로고
    • On fuzzy relational equations and the covering problem
    • J.L. Lin, Y.K. Wu, S.M. Guu, On fuzzy relational equations and the covering problem, Information Sciences, 181 (2011) 2951-2963.
    • (2011) Information Sciences , vol.181 , pp. 2951-2963
    • Lin, J.L.1    Wu, Y.K.2    Guu, S.M.3
  • 10
    • 16444374921 scopus 로고
    • Properties of a set of minimal solutions for a fuzzy relation equation
    • in Japanese
    • M. Miyakoshi, H. Imai, and T. Da-te Properties of a set of minimal solutions for a fuzzy relation equation Bull. Fac. Enging. Hokkaido Univ 167 1994 1 10 in Japanese
    • (1994) Bull. Fac. Enging. Hokkaido Univ , vol.167 , pp. 1-10
    • Miyakoshi, M.1    Imai, H.2    Da-Te, T.3
  • 11
    • 0020187079 scopus 로고
    • Comparison of fuzzy reasoning methods
    • M. Mizumoto, and H.J. Zimmermann Comparison of fuzzy reasoning methods Fuzzy Sets Syst. 8 1982 253 283
    • (1982) Fuzzy Sets Syst. , vol.8 , pp. 253-283
    • Mizumoto, M.1    Zimmermann, H.J.2
  • 12
    • 84875271911 scopus 로고    scopus 로고
    • Resolution of Fuzzy Relational Equations-Method, Algorithm and Software with Applications
    • K. Peeva, Resolution of Fuzzy Relational Equations-Method, Algorithm and Software with Applications, Information Sciences, 234 (2011) 44-63.
    • (2011) Information Sciences , vol.234 , pp. 44-63
    • Peeva, K.1
  • 13
    • 45849115461 scopus 로고    scopus 로고
    • System of fuzzy relation equations with inf-→ composition: Complete set of solutions
    • I. Perfilieva, and L. Nosková System of fuzzy relation equations with inf-→ composition: complete set of solutions Fuzzy Sets Syst. 159 2008 2256 2271
    • (2008) Fuzzy Sets Syst. , vol.159 , pp. 2256-2271
    • Perfilieva, I.1    Nosková, L.2
  • 14
    • 34247146848 scopus 로고    scopus 로고
    • Some properties of infinite fuzzy relational equations on complete Brouwerian lattices
    • X.B. Qu, and X.P. Wang Some properties of infinite fuzzy relational equations on complete Brouwerian lattices Fuzzy Sets Syst. 158 2007 1327 1339
    • (2007) Fuzzy Sets Syst. , vol.158 , pp. 1327-1339
    • Qu, X.B.1    Wang, X.P.2
  • 15
    • 0016900196 scopus 로고
    • Resolution of composite fuzzy relation equations
    • E. Sanchez Resolution of composite fuzzy relation equations Inform. Control 30 1976 38 48
    • (1976) Inform. Control , vol.30 , pp. 38-48
    • Sanchez, E.1
  • 16
    • 34447337502 scopus 로고    scopus 로고
    • Solutions of fuzzy relation equations based on continuous t-norms
    • B.S. Shieh Solutions of fuzzy relation equations based on continuous t-norms Inform. Sci. 177 2007 4208 4215
    • (2007) Inform. Sci. , vol.177 , pp. 4208-4215
    • Shieh, B.S.1
  • 17
    • 39149127959 scopus 로고    scopus 로고
    • Infinite fuzzy relation equations with continuous t-norms
    • B.S. Shieh Infinite fuzzy relation equations with continuous t-norms Inform. Sci. 178 2008 1961 1967
    • (2008) Inform. Sci. , vol.178 , pp. 1961-1967
    • Shieh, B.S.1
  • 18
    • 47849085873 scopus 로고    scopus 로고
    • Deriving minimal solutions for fuzzy relation equations with max-product composition
    • B.S. Shieh Deriving minimal solutions for fuzzy relation equations with max-product composition Inform. Sci. 178 2008 3766 3774
    • (2008) Inform. Sci. , vol.178 , pp. 3766-3774
    • Shieh, B.S.1
  • 19
    • 78649814897 scopus 로고    scopus 로고
    • Minimizing a linear objective function under a fuzzy max-t norm relation equation constraint
    • B.S. Shieh Minimizing a linear objective function under a fuzzy max-t norm relation equation constraint Inform. Sci. 181 2011 832 841
    • (2011) Inform. Sci. , vol.181 , pp. 832-841
    • Shieh, B.S.1
  • 20
    • 0011835507 scopus 로고
    • On the existence of minimal solutions for fuzzy equations with tolerances
    • M. Wagenknecht, and K. Hartmann On the existence of minimal solutions for fuzzy equations with tolerances Fuzzy Sets Syst. 34 1990 237 244
    • (1990) Fuzzy Sets Syst. , vol.34 , pp. 237-244
    • Wagenknecht, M.1    Hartmann, K.2
  • 21
    • 0035371659 scopus 로고    scopus 로고
    • Method of solution to fuzzy relation equations in a complete Brouwerian lattice
    • X.P. Wang Method of solution to fuzzy relation equations in a complete Brouwerian lattice Fuzzy Sets Syst. 120 2001 409 414
    • (2001) Fuzzy Sets Syst. , vol.120 , pp. 409-414
    • Wang, X.P.1
  • 22
    • 34247135629 scopus 로고    scopus 로고
    • Continuous join-irreducible elements and their applications to describe the solution set of fuzzy relational equations
    • in Chinese
    • X.P. Wang, and X.B. Qu Continuous join-irreducible elements and their applications to describe the solution set of fuzzy relational equations Acta Math. Sinica, Chinese Series 49 2006 1171 1180 in Chinese
    • (2006) Acta Math. Sinica, Chinese Series , vol.49 , pp. 1171-1180
    • Wang, X.P.1    Qu, X.B.2
  • 23
    • 68949131252 scopus 로고    scopus 로고
    • The solution sets of infinite fuzzy relational equations with sup-conjunctor composition complete distributive lattices
    • X.P. Wang, and C. Xia The solution sets of infinite fuzzy relational equations with sup-conjunctor composition complete distributive lattices Fuzzy Sets Syst. 160 2009 2989 3006
    • (2009) Fuzzy Sets Syst. , vol.160 , pp. 2989-3006
    • Wang, X.P.1    Xia, C.2
  • 24
    • 84875267290 scopus 로고    scopus 로고
    • Solution sets of finite fuzzy relation equations with sup-inf composition over bounded Brouwerian lattices
    • X.P. Wang, S. Zhao, Solution sets of finite fuzzy relation equations with sup-inf composition over bounded Brouwerian lattices, Information Sciences, 234 (2011) 80-85.
    • (2011) Information Sciences , vol.234 , pp. 80-85
    • Wang, X.P.1    Zhao, S.2
  • 25
    • 13644262815 scopus 로고    scopus 로고
    • Some properties of sup-min fuzzy relational equations on infinite domains
    • Q.Q. Xiong, and X.P. Wang Some properties of sup-min fuzzy relational equations on infinite domains Fuzzy Sets Syst. 151 2005 393 402
    • (2005) Fuzzy Sets Syst. , vol.151 , pp. 393-402
    • Xiong, Q.Q.1    Wang, X.P.2
  • 26
    • 35448979877 scopus 로고    scopus 로고
    • On the minimal solutions of max-min fuzzy relational equations
    • C.T. Yeh On the minimal solutions of max-min fuzzy relational equations Fuzzy Sets Syst. 159 2008 23 39
    • (2008) Fuzzy Sets Syst. , vol.159 , pp. 23-39
    • Yeh, C.T.1
  • 27
    • 18144388681 scopus 로고    scopus 로고
    • Toward a generalized theory of uncertainty (GTU) - An outline
    • L.A. Zadeh Toward a generalized theory of uncertainty (GTU) - an outline Inform. Sci. 172 2005 1 40
    • (2005) Inform. Sci. , vol.172 , pp. 1-40
    • Zadeh, L.A.1
  • 28
    • 42749097020 scopus 로고    scopus 로고
    • Is there a need for fuzzy logic?
    • L.A. Zadeh Is there a need for fuzzy logic? Inform. Sci. 178 2008 2751 2779
    • (2008) Inform. Sci. , vol.178 , pp. 2751-2779
    • Zadeh, L.A.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.