Fuzzy topology on fuzzy sets: fuzzy semicontinuity and fuzzy semiseparation axioms

The concept of a fuzzy topology on a fuzzy set was introduced in [Fuzzy Set Syst. 45 (1992) 103]. The aim of this paper is to introduce fuzzy semicontinuity and fuzzy semiseparation axioms in this new situation and validity of some characterization of these concepts have been examined. Also, we defi...

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Bibliographic Details
Published in:Applied mathematics and computation 2004-05, Vol.153 (1), p.127-140
Main Authors: Mahmoud, F.S., Fath Alla, M.A., Abd Ellah, S.M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fuzzy proper function
Fuzzy semiconnected spaces
Fuzzy semicontinuity
Fuzzy semiseparation axioms
Fuzzy topology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
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Summary:The concept of a fuzzy topology on a fuzzy set was introduced in [Fuzzy Set Syst. 45 (1992) 103]. The aim of this paper is to introduce fuzzy semicontinuity and fuzzy semiseparation axioms in this new situation and validity of some characterization of these concepts have been examined. Also, we define a fuzzy generalized semiopen set and introduce fuzzy separation axioms by using this concept. Fuzzy semiconnected and fuzzy semicompact spaces are introduced and some of their properties are discussed.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(03)00616-7