메뉴 건너뛰기




Volumn 160, Issue 1, 2009, Pages 119-128

On finite relation equations with sup-conjunctor composition over a complete lattice

Author keywords

Complete lattice; Conjunctor; Infinitely distributive conjunctor; Relational equation; Solution set

Indexed keywords

PROBLEM SOLVING;

EID: 54049130833     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2008.04.010     Document Type: Article
Times cited : (5)

References (17)
  • 1
    • 54049120407 scopus 로고
    • AMS Colloquium Publications, Providence, RI
    • Birkhoff G. Lattice Theory Vol. XXV (1967), AMS Colloquium Publications, Providence, RI
    • (1967) Lattice Theory , vol.XXV
    • Birkhoff, G.1
  • 2
    • 18444370334 scopus 로고    scopus 로고
    • Fuzzy relations and fuzzy relation equations
    • (in Chinese)
    • Dai F.M., and Wang Z.D. Fuzzy relations and fuzzy relation equations. J. Yangzhou Univ. 5 2 (2002) 8-10 (in Chinese)
    • (2002) J. Yangzhou Univ. , vol.5 , Issue.2 , pp. 8-10
    • Dai, F.M.1    Wang, Z.D.2
  • 3
    • 0011835506 scopus 로고
    • An order-theoretic approach to solving sup-T equations
    • Ruan D. (Ed), Kluwer Academic Publishers, Dordrecht
    • De Baets B. An order-theoretic approach to solving sup-T equations. In: Ruan D. (Ed). Fuzzy Set Theory and Advanced Mathematical Applications (1995), Kluwer Academic Publishers, Dordrecht 67-87
    • (1995) Fuzzy Set Theory and Advanced Mathematical Applications , pp. 67-87
    • De Baets, B.1
  • 4
    • 0001634914 scopus 로고    scopus 로고
    • Analytical solution methods for fuzzy relational equations
    • Dubois D., and Prade H. (Eds), Kluwer Academic Publishers, Dordrecht
    • De Baets B. Analytical solution methods for fuzzy relational equations. In: Dubois D., and Prade H. (Eds). Fundamentals of Fuzzy Sets, The Handbooks of Fuzzy Sets Series Vol. 1 (2000), Kluwer Academic Publishers, Dordrecht 291-340
    • (2000) Fundamentals of Fuzzy Sets, The Handbooks of Fuzzy Sets Series , vol.1 , pp. 291-340
    • De Baets, B.1
  • 5
    • 0011913257 scopus 로고
    • On solving relational equations in Brouwerian lattices
    • Di Nola A. On solving relational equations in Brouwerian lattices. Fuzzy Sets and Systems 34 (1990) 365-376
    • (1990) Fuzzy Sets and Systems , vol.34 , pp. 365-376
    • Di Nola, A.1
  • 7
    • 18444418843 scopus 로고    scopus 로고
    • Notes on conjunctors and implication operators on a complete Brouwerian lattice and conjunctors and implication operators: direct products and direct product decompositions
    • Han S.C., and Li H.X. Notes on conjunctors and implication operators on a complete Brouwerian lattice and conjunctors and implication operators: direct products and direct product decompositions. Fuzzy Sets and Systems 153 (2005) 289-294
    • (2005) Fuzzy Sets and Systems , vol.153 , pp. 289-294
    • Han, S.C.1    Li, H.X.2
  • 8
    • 33646025810 scopus 로고    scopus 로고
    • Resolution of finite fuzzy relation equations based on strong conjunctors
    • Han S.-C., Li H.-X., and Wang J.-Y. Resolution of finite fuzzy relation equations based on strong conjunctors. Appl. Math. Lett. 19 (2006) 752-757
    • (2006) Appl. Math. Lett. , vol.19 , pp. 752-757
    • Han, S.-C.1    Li, H.-X.2    Wang, J.-Y.3
  • 9
    • 13544263233 scopus 로고    scopus 로고
    • Fuzzy relation equations for coding/decoding processes of images and videos
    • Loia V., and Sessa S. Fuzzy relation equations for coding/decoding processes of images and videos. Inform. Sci. 171 (2005) 145-172
    • (2005) Inform. Sci. , vol.171 , pp. 145-172
    • Loia, V.1    Sessa, S.2
  • 10
    • 0022060286 scopus 로고
    • Solutions of composite fuzzy relational equations with triangular norms
    • Miyakoshi M., and Shimbo M. Solutions of composite fuzzy relational equations with triangular norms. Fuzzy Sets and Systems 16 (1985) 53-63
    • (1985) Fuzzy Sets and Systems , vol.16 , pp. 53-63
    • Miyakoshi, M.1    Shimbo, M.2
  • 11
    • 0016900196 scopus 로고
    • Resolution of composite fuzzy relation equations
    • Sanchez E. Resolution of composite fuzzy relation equations. Inform. and Control 30 (1976) 38-48
    • (1976) Inform. and Control , vol.30 , pp. 38-48
    • Sanchez, E.1
  • 12
    • 54049121957 scopus 로고    scopus 로고
    • G.J. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall, PTR, USA, 1995.
    • G.J. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall, PTR, USA, 1995.
  • 13
    • 33646063237 scopus 로고
    • On direct and inverse problems for fuzzy equation systems with tolerances
    • Wagenknecht M., and Hartmann K. On direct and inverse problems for fuzzy equation systems with tolerances. Fuzzy Sets and Systems 24 (1987) 93-102
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 93-102
    • Wagenknecht, M.1    Hartmann, K.2
  • 14
    • 0035371659 scopus 로고    scopus 로고
    • Method of solution to fuzzy relation equations in a complete Brouwerian lattice
    • Wang X.P. Method of solution to fuzzy relation equations in a complete Brouwerian lattice. Fuzzy Sets and Systems 120 (2001) 409-414
    • (2001) Fuzzy Sets and Systems , vol.120 , pp. 409-414
    • Wang, X.P.1
  • 15
    • 18444369630 scopus 로고    scopus 로고
    • The solution set of a fuzzy relational equation with sup-conjunctor composition in a complete lattice
    • Wang X.P., and Xiong Q.Q. The solution set of a fuzzy relational equation with sup-conjunctor composition in a complete lattice. Fuzzy Sets and Systems 153 (2005) 249-260
    • (2005) Fuzzy Sets and Systems , vol.153 , pp. 249-260
    • Wang, X.P.1    Xiong, Q.Q.2
  • 16
    • 0037121224 scopus 로고    scopus 로고
    • Conjunctors and implication operators on a complete Brouwerian lattice
    • Wang Z.D., and Yu Y.D. Conjunctors and implication operators on a complete Brouwerian lattice. Fuzzy Sets and Systems 132 (2002) 113-124
    • (2002) Fuzzy Sets and Systems , vol.132 , pp. 113-124
    • Wang, Z.D.1    Yu, Y.D.2
  • 17
    • 43949162421 scopus 로고
    • The inverse problem for distributive lattices
    • Zhang K.-L. The inverse problem for distributive lattices. Fuzzy Sets and Systems 59 (1993) 109-113
    • (1993) Fuzzy Sets and Systems , vol.59 , pp. 109-113
    • Zhang, K.-L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.