A note on solution sets of interval-valued fuzzy relational equations

Fuzzy Optimization and Decision Making

Volumn 8, Issue 1, 2009, Pages 115-121

  Li, Pingke ^a   Fang, Shu Cherng ^a,b  

^a North Carolina State University   (United States)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

Fuzzy relational equations; Fuzzy relational inequalities; Interval valued system

Indexed keywords

FUZZY OPTIMIZATIONS; FUZZY RELATIONAL EQUATIONS; FUZZY RELATIONAL INEQUALITIES; INTERVAL-VALUED SYSTEM; SOLUTION SETS;

FUZZY SETS;

EID: 63149147238     PISSN: 15684539     EISSN: 15732908     Source Type: Journal    
DOI: 10.1007/s10700-009-9055-4     Document Type: Article

References (15)

1. De Baets B. (2000) Analytical solution methods for fuzzy relational equations. In: Dubois D., Prade H. (eds) Fundamentals of fuzzy sets, The handbooks of fuzzy sets series, (Vol. 1). Kluwer, Dordrecht, pp 291-340
2. Klement E.P., Mesiar R., Pap E. (2000) Triangular norms. Kluwer, Dordrecht
3. Klir, G., & Yuan, B. (1995). Fuzzy sets and fuzzy logic: Theory and applications. Upper Saddle River, NJ: Prentice Hall.
4. Kreinovich V., Lakeyev A., Rohn J., Kahl P. (1998) Computational complexity and feasibility of data processing and interval computations. Kluwer, Dordrecht
5. G. Li S.-C. Fang 1998 Solving interval-valued fuzzy relation equations IEEE Transactions on Fuzzy Systems 6 321 324
6. P. Li S.-C. Fang 2008 On the resolution and optimization of a system of fuzzy relational equations with sup-T composition Fuzzy Optimization and Decision Making 7 169 214
7. Peeva K., Kyosev Y. (2004) Fuzzy relational calculus: Theory, applications and software. World Scientific, New Jersey
8. E. Sanchez 1976 Resolution of composite fuzzy relation equation Information and Control 30 38 48
9. Sanchez E. (1977) Solutions in composite fuzzy relation equations: Application to medical diagnosis in Brouwerian logic. In: Gupta M.M., Saridis G.N., Gaines B.R. (eds) Fuzzy automata and decision processes. North-Holland, Amsterdam, pp 221-234
10. H.-F. Wang Y.-C. Chang 1991 Resolution of composite interval-valued fuzzy relation equations Fuzzy Sets and Systems 44 227 240
11. P.Z. Wang D.Z. Zhang E. Sanchez E.S. Lee 1991 Latticized linear programming and fuzzy relation inequalities Journal of Mathematical Analysis and Applications 159 72 87
12. S. Wang S.-C. Fang H.L.W. Nuttle 2003 Solution sets of interval-valued fuzzy relational equations Fuzzy Optimization and Decision Making 2 41 60
13. S. Wang S.-C. Fang H. L.W. Nuttle 2005 Solution sets of interval-valued min-s-norm fuzzy relational equations Fuzzy Optimization and Decision Making 4 331 349
14. S. Wang S.-C. Fang H.L.W. Nuttle 2007 Errata Fuzzy Optimization and Decision Making 6 297
15. K. Zimmermann 2000 Generalized fuzzy relational inequalities and related problems International Journal of General Systems 29 637 644