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Semicompactness in Fuzzy Topological Spaces

Chakraborty, R.P., and Bhattacharyya, A., and Mukherjee, M.N., (2005) Semicompactness in Fuzzy Topological Spaces. Bulletin of the Malaysian Mathematical Sciences Society, 28 (2). pp. 205-213. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v28n2/v28n2p11.pdf

Affiliations

University of Calcutta, Dept. of Pure Mathematics

Abstract

The paper deals with the concept of semicompactness in the generalized setting of a fuzzy topological space. We achieve a number of characterizations of a fuzzy semicompact space. The notion of semicompactness is further extended to arbitrary fuzzy sets. Such fuzzy sets are formulated in different ways and a few pertinent properties are discussed. Finally we compare semicompact fuzzy sets with some of the existing types of compact-like fuzzy sets. We ultimately show that so far as the mutual relationships among different existing allied classes of fuzzy sets are concerned, the class of semicompact fuzzy sets occupies a natural position in the hierarchy.

Item Type:Journal
Keywords:Fuzzy semicompact space, semi-q-nbd, fuzzy semicluster point.
Subjects:Q Science, Computer Science
ID Code:1424

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