A Study of Fuzzy Continuous Mappings

Abstract

The paperndeals with the conceptnof semi-compactness in thengeneralized setting of a fuzzyntopological space.We achievena number of characterizationsnof a fuzzynsemi-compact space.The notionnof semi-compactness is furthernextended to arbitrary fuzzyntopological sets.Such fuzzynsets are formulated inndifferent ways and a fewnpertinent properties are discussed.Finallynwe compare semi-compact fuzzynsets with some ofnthe existing types ofncompact-like fuzzynsets.We ultimately shownthat so far as thenmutual relationships among differentnexisting allied classes of fuzzynsets are concerned,thenclass of semi-compact fuzzynsets occupies a naturalnposition in the hierarchy.Thenpurpose of this papernis to introduce thenconcepts of semi*-connectednspaces, semi*compactnspaces.We investigate theirnbasic properties. We alsondiscuss their relationship withnalready existing concepts.