The smooth closure and smooth interior of a fuzzy set w.r.t. a smooth topology were defined by Gayyar et al. (1994), and some relations between a few types of compactness were established in the presence of strong restrictions. In this paper, by constructing new definitions of smooth closure and smo
On several types of degree of fuzzy compactness
✍ Scribed by A.Haydar Eş; Doǧan Çoker
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 458 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0165-0114
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✦ Synopsis
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 compactness, light compactness and strong compactness of a fuzzy set. Also we investigate the behavior of the degrees of compactness under several types of fuzzy continuous functions. (~)
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