Fuzzy topological concepts
نویسندگان
چکیده
منابع مشابه
(IC)LM-FUZZY TOPOLOGICAL SPACES
The aim of the present paper is to define and study (IC)$LM$-fuzzytopological spaces, a generalization of (weakly) induced $LM$-fuzzytopological spaces. We discuss the basic properties of(IC)$LM$-fuzzy topological spaces, and introduce the notions ofinterior (IC)-fication and exterior (IC)-fication of $LM$-fuzzytopologies and prove that {bf ICLM-FTop} (the category of(IC)$LM$-fuzzy topological ...
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An approach is followed here to generate a new topology on a set X from an ideal I and a family S of subsets of X. The so-obtained topology is related to other known topologies on X. The cases treated here include the one when S T is taken, then the case when S RO X, T is considered. The approach is open to apply to other choices of S. As application, some known results are obtained as corollar...
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In this paper, the notion of fuzzy semicompactness degrees isintroduced in $L$-fuzzy topological spaces by means of theimplication operation of $L$. Characterizations of fuzzysemicompactness degrees in $L$-fuzzy topological spaces areobtained, and some properties of fuzzy semicompactness degrees areresearched.
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The $L$-fuzzy approximation operator associated with an $L$-fuzzy approximation space $(X,R)$ turns out to be a saturated $L$-fuzzy closure (interior) operator on a set $X$ precisely when the relation $R$ is reflexive and transitive. We investigate the relations between $L$-fuzzy approximation spaces and $L$-(fuzzy) topological spaces.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1980
ISSN: 0022-247X
DOI: 10.1016/0022-247x(80)90138-9