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- W316346557 abstract "Abstract. In this paper slightly fuzzy continuous mappings is intro-duced and some interesting properties and characterizations of slightlyfuzzy continuous mappings are discussed. 1. IntroductionFuzzy concept has invaded almost all branches of Mathematics since theintroduction of the concept of fuzzy set by Zadeh [13]. Fuzzy sets have appli-cations in many elds such as information [11] and control [12]. The theory offuzzy topological spaces was introduced and developed by Chang [5] and sincethen various notions in classical topology have been extended to fuzzy topolog-ical spaces [1-4]. The concept of slightly continuous mappings was introducedby Singal and Jain [9].This paper is devoted to the study of slightly fuzzy continuous mappings.Some interesting properties and characterizations of slightly fuzzy continuousmappings are discussed with necessary examples. In this paper, almost* fuzzycontinuous mappings, *-fuzzy continuous mappings and weakly* fuzzy contin-uous mappings are introduced and studied. It is observed that slightly fuzzycontinuous mappings preserve fuzzy connectedness and every slightly fuzzy con-tinuous mapping into a fuzzy extremally disconnected space is almost* fuzzycontinuous.2. PreliminariesDe nition 2.1. ([10]) A mapping f: X!Yis said to be almost continuous ata point x2X, if for every neighbourhood V of f(x), there is a neighbourhoodUof xsuch that f(U) ˆint clV.De nition 2.2. ([6]) A mapping f: X!Y is said to be -continuous at apoint x2X, if for every neighbourhood V of f(x), there is a neighbourhoodUof xsuch that f(clU) ˆclV." @default.
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- W316346557 date "2009-06-01" @default.
- W316346557 modified "2023-09-24" @default.
- W316346557 title "SLIGHTLY FUZZY CONTINUOUS MAPPINGS" @default.
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