In this paper, the concept of fuzzy compactness degrees is presented in L-fuzzy topological spaces with the help of implication operator. Some properties of fuzzy compactness degrees are researched.
Compactness theorems of fuzzy semantics
β Scribed by Guojun Wang
- Book ID
- 105641957
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 339 KB
- Volume
- 45
- Category
- Article
- ISSN
- 1001-6538
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π SIMILAR VOLUMES
Three main semantics for membership functions seem to exist in the literature: similarity, preference and uncertainty. Each semantics underlies a particular class of applications. Similarity notions are exploited in clustering analysis and fuzzy controllers. Uncertainty is captured by fuzzy sets in
defined a fuzzy topology on a set X as a fuzzy subset z of the family I x of fuzzy subsets of X satisfying some axioms. The concept of the degree of compactness of a fuzzy set was first introduced by . In this paper, we discuss the degrees of almost compactness, near compactness, countable compactne