×

zbMATH — the first resource for mathematics

Latticized linear programming and fuzzy relation inequalities. (English) Zbl 0746.90081
The authors solve a very interesting logical linear programming problem, using fuzzy lattices and fuzzy relations. This matter is very important for optimization problems involving “if\(\dots\) then\(\dots\)” situations. The paper contains a lot of practical examples providing an easy and pleasent reading.

MSC:
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Di Nola, A; Pedrycz, W; Sessa, S; Pei-Zhuang, Wang, Fuzzy relation equations under a class of triangular norms: A survey and new results, Stochastica, 8, 99-145, (1984) · Zbl 0581.04002
[2] Hong-Xing, Li, Structure of set solution by generalized fuzzy relation equation, Fuzzy math., 4, No. 4, 59-60, (1984)
[3] Xiang-Hau, Li, Fuzzy similarity matrix equation of varied order, Fuzzy math., 4, No. 1, 67-72, (1984) · Zbl 0568.15015
[4] Cheng-Zhong, Luo, Reachable equation of a fuzzy relation equation, J. math. anal. appl., 103, 524-532, (1984) · Zbl 0588.04005
[5] Miyakoshi, M; Shimbo, M, Sets of solution-set-invariant coefficient matrices of simple fuzzy relation equations, Fuzzy sets and systems, 21, 59-83, (1987) · Zbl 0649.04003
[6] Sanchez, E, Resolution of composite fuzzy relation equations, Inform. and control, 30, 38-48, (1976) · Zbl 0326.02048
[7] Pei-Zhuang, Wang, Fuzzy sets theory and its applications, (1983), Shanghai Science and Technology Press, [In Chinese]
[8] Pei-Zhuang, Wang; Sessa, S; Di Nola, A; Pedrycz, W, How many lower solutions does a fuzzy relation equation have?, Busefal, 18, 67-74, (1984) · Zbl 0581.04001
[9] Pei-Zhuang, Wang; Da-Zhi, Zhang, Fuzzy decision making, ()
[10] Xu, Wen-Li, Fuzzy relation equation, ()
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.