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Volumn 177, Issue 19, 2007, Pages 4208-4215

Solutions of fuzzy relation equations based on continuous t-norms

Author keywords

Archimedean t norm; Continuous t norm; Fuzzy relation equations; Sup t norm compositions

Indexed keywords

ARCHIMEDEAN T-NORM; CONTINUOUS T-NORM; FUZZY RELATION EQUATIONS; SUP-T-NORM COMPOSITIONS;

EID: 34447337502     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2007.04.006     Document Type: Article
Times cited : (68)

References (27)
  • 1
    • 0001634914 scopus 로고    scopus 로고
    • Analytical solution methods for fuzzy relational equations
    • Fundamentals of fuzzy sets. Dubois D., and Prade H. (Eds), Kluwer Academic Publishers, Dordrecht
    • Baets B.D. Analytical solution methods for fuzzy relational equations. Fundamentals of fuzzy sets. In: Dubois D., and Prade H. (Eds). The Handbooks of Fuzzy sets Series vol. 1 (2000), Kluwer Academic Publishers, Dordrecht 291-340
    • (2000) The Handbooks of Fuzzy sets Series , vol.1 , pp. 291-340
    • Baets, B.D.1
  • 3
    • 0010051169 scopus 로고    scopus 로고
    • Solution algorithms for fuzzy relational equations with max-product composition
    • Bourke M., and Fisher D.G. Solution algorithms for fuzzy relational equations with max-product composition. Fuzzy Sets and Systems 94 (1998) 61-69
    • (1998) Fuzzy Sets and Systems , vol.94 , pp. 61-69
    • Bourke, M.1    Fisher, D.G.2
  • 4
    • 0020648484 scopus 로고
    • Studies in fuzzy relations over fuzzy subsets
    • Chakraborty M.K., and Das M. Studies in fuzzy relations over fuzzy subsets. Fuzzy Sets and Systems 9 (1983) 79-89
    • (1983) Fuzzy Sets and Systems , vol.9 , pp. 79-89
    • Chakraborty, M.K.1    Das, M.2
  • 5
    • 33747623558 scopus 로고    scopus 로고
    • Fuzzy relation equation (II): the branch-point-solutions and the categorized minimal solutions
    • Chen L., and Wang P.P. Fuzzy relation equation (II): the branch-point-solutions and the categorized minimal solutions. Soft Computing 11 (2007) 33-40
    • (2007) Soft Computing , vol.11 , pp. 33-40
    • Chen, L.1    Wang, P.P.2
  • 6
    • 0242577978 scopus 로고    scopus 로고
    • A new look at solving a system of fuzzy relational equations
    • Chung F., and Lee T. A new look at solving a system of fuzzy relational equations. Fuzzy Sets and Systems 88 (1997) 343-353
    • (1997) Fuzzy Sets and Systems , vol.88 , pp. 343-353
    • Chung, F.1    Lee, T.2
  • 9
    • 3042750198 scopus 로고    scopus 로고
    • Some specific types of fuzzy relation equations
    • Fernandez M.J., and Gil P. Some specific types of fuzzy relation equations. Information Sciences 164 (2004) 189-195
    • (2004) Information Sciences , vol.164 , pp. 189-195
    • Fernandez, M.J.1    Gil, P.2
  • 10
    • 0035900853 scopus 로고    scopus 로고
    • Solvability and unique solvability of max-min fuzzy equations
    • Gavalec M. Solvability and unique solvability of max-min fuzzy equations. Fuzzy Sets and Systems 124 (2001) 385-393
    • (2001) Fuzzy Sets and Systems , vol.124 , pp. 385-393
    • Gavalec, M.1
  • 11
    • 0021422683 scopus 로고
    • Resolution of finite fuzzy relation equations
    • Higashi M., and Klir G.J. Resolution of finite fuzzy relation equations. Fuzzy Sets and Systems 13 (1984) 65-82
    • (1984) Fuzzy Sets and Systems , vol.13 , pp. 65-82
    • Higashi, M.1    Klir, G.J.2
  • 12
    • 0345890335 scopus 로고    scopus 로고
    • Solving fuzzy relational equations through logical filtering
    • Hirota K., and Pedrycz W. Solving fuzzy relational equations through logical filtering. Fuzzy Sets and Systems 81 (1996) 355-363
    • (1996) Fuzzy Sets and Systems , vol.81 , pp. 355-363
    • Hirota, K.1    Pedrycz, W.2
  • 13
    • 0000386859 scopus 로고    scopus 로고
    • Unattainable solutions of a fuzzy relation equation
    • Imai H., Kikuchi K., and Miyakoshi M. Unattainable solutions of a fuzzy relation equation. Fuzzy Sets and Systems 99 (1998) 193-196
    • (1998) Fuzzy Sets and Systems , vol.99 , pp. 193-196
    • Imai, H.1    Kikuchi, K.2    Miyakoshi, M.3
  • 14
    • 0000390842 scopus 로고    scopus 로고
    • Some properties of minimal solutions for a fuzzy relation equation
    • Imai H., Miyakoshi M., and Da-te T. Some properties of minimal solutions for a fuzzy relation equation. Fuzzy Sets and Systems 90 (1997) 335-340
    • (1997) Fuzzy Sets and Systems , vol.90 , pp. 335-340
    • Imai, H.1    Miyakoshi, M.2    Da-te, T.3
  • 16
    • 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. Information Sciences 171 (2005) 145-172
    • (2005) Information Sciences , vol.171 , pp. 145-172
    • Loia, V.1    Sessa, S.2
  • 18
    • 18444362435 scopus 로고    scopus 로고
    • On the relation between equations with max-product composition and the covering problem
    • Markovskii A.V. On the relation between equations with max-product composition and the covering problem. Fuzzy Sets and Systems 153 (2005) 261-273
    • (2005) Fuzzy Sets and Systems , vol.153 , pp. 261-273
    • Markovskii, A.V.1
  • 19
    • 0000161822 scopus 로고    scopus 로고
    • Solvability criteria for systems of fuzzy relation equations
    • Neundorf D., and Bohm R. Solvability criteria for systems of fuzzy relation equations. Fuzzy Sets and Systems 80 (1996) 345-352
    • (1996) Fuzzy Sets and Systems , vol.80 , pp. 345-352
    • Neundorf, D.1    Bohm, R.2
  • 20
    • 38249020694 scopus 로고
    • Inverse problem in fuzzy relational equations
    • Pedrycz W. Inverse problem in fuzzy relational equations. Fuzzy Sets and Systems 36 (1990) 277-291
    • (1990) Fuzzy Sets and Systems , vol.36 , pp. 277-291
    • Pedrycz, W.1
  • 21
    • 0002660549 scopus 로고
    • Processing in relational structures: fuzzy relational equations
    • Pedrycz W. Processing in relational structures: fuzzy relational equations. Fuzzy Sets and Systems 25 (1991) 77-106
    • (1991) Fuzzy Sets and Systems , vol.25 , pp. 77-106
    • Pedrycz, W.1
  • 22
    • 0348192487 scopus 로고
    • s-t Fuzzy relational equations
    • Pedrycz W. s-t Fuzzy relational equations. Fuzzy Sets and Systems 59 (1993) 189-195
    • (1993) Fuzzy Sets and Systems , vol.59 , pp. 189-195
    • Pedrycz, W.1
  • 23
    • 34249302022 scopus 로고    scopus 로고
    • System of fuzzy relation equations as a continuous model of IF-THEN rules
    • Perfilieva I., and Novak V. System of fuzzy relation equations as a continuous model of IF-THEN rules. Information Sciences 177 (2007) 3218-3227
    • (2007) Information Sciences , vol.177 , pp. 3218-3227
    • Perfilieva, I.1    Novak, V.2
  • 25
    • 0016900196 scopus 로고
    • Resolution of composite fuzzy relation equations
    • Sanchez E. Resolution of composite fuzzy relation equations. Information and Control 30 (1976) 38-48
    • (1976) Information and Control , vol.30 , pp. 38-48
    • Sanchez, E.1
  • 26
    • 0035371744 scopus 로고    scopus 로고
    • Resolution of composite fuzzy relation equations based on Archimedean triangular norms
    • Stamou G.B., and Tzafestas S.G. Resolution of composite fuzzy relation equations based on Archimedean triangular norms. Fuzzy Sets and Systems 120 (2001) 395-407
    • (2001) Fuzzy Sets and Systems , vol.120 , pp. 395-407
    • Stamou, G.B.1    Tzafestas, S.G.2
  • 27
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.