Triangular norms, conorms, and negation functions are used as interpretations for propositional connectives in a multiple-valued logic model for fuzzy binary relations of weak preference, strict preference, and indifference. It is shown that the Law of Contradiction is a necessary condition for the
Preference relation on fuzzy utilities based on fuzzy leftness relation on intervals
โ Scribed by Sukhamay Kundu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 584 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
โฆ Synopsis
We define a new preference relation #p(x, y) between two fuzzy numbers or utilities x and y, based on the fuzzy leftness relationship between intervals. A key property of #r(x, y) is that it satisfies the well-known min-transitivity property: #p(x, z )/> min{ (#p(x, y), p p(y, z)}; the previous definitions of preference relation for fuzzy utilities satisfy only certain weaker forms of transitivity.
๐ SIMILAR VOLUMES
Based on fuzzy reasoning in fuzzy logic, this paper studies a fuzzy hyperoperation and a fuzzy hypergroupoid associated with a fuzzy relation. A sufficient and necessary condition for such a fuzzy hypergroupoid being a fuzzy hypergroup is given, and the properties of the fuzzy hypergroups associated