Representation theorems for fuzzy orders and quasi-metrics
β Scribed by G. Gerla
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 300 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1432-7643
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π SIMILAR VOLUMES
We obtain ΓΏxed point theorems for fuzzy mappings in Smyth-complete and left K-complete quasi-metric spaces, respectively. Well-known theorems are special cases of our results.
Two classes of metrics (~p,q and pp, where l~<p~<c~, 0~<q~<l, in space of fuzzy numbers are introduced. Then a method of ranking fuzzy numbers based on these metrics is proposed and investigated. Not only fuzzy numbers but also the left-sided and fight-sided fuzzy numbers are considered. Application
In this paper, some new versions of coincidence point theorems and minimization theorems for single-valued and multi-valued mappings in generating spaces of the quasi-metric family are obtained. As applications, we utilize our main theorems to prove coincidence point theorems, fixed point theorems a
We provide an abstract representation theorem for an arbitrary min-transitive fuzzy relation R(x; y) on a set X in terms of a speciΓΏc min-transitive relation on the interval [0, 1]. The technique used here gives us a fuzzy lattice structure on F(X ) = the set of all fuzzy subsets of X . The underlyi