The conditions for the existence of an inverse solution to the max-rain composition of fuzzy relational equations have been well documented since the original work by Sanchez . These same existence theorems have been extended to the t-norm composition of relational equations, in which the max-produc
Fuzzy relational equations with min-biimplication composition
β Scribed by Li, Pingke; Jin, Qingwei
- Book ID
- 113065847
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 267 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1568-4539
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π SIMILAR VOLUMES
An optimization problem with a linear objective function subject to a system of fuzzy relation equations using maxproduct composition is considered. Since the feasible domain is non-convex, traditional linear programming methods cannot be applied. We study this problem and capture some special chara
T-and aT-compositions , i.e., composite operations of sup-T and inf--aT, and relationships among ~-, etT-operators and t-norm are considered. It is shown that, if a composite fuzzy relational equation by T-composition has solutions, then a greatest one exists, and that if a similar equation by etr-c