A Unified Theory (I) for Neighborhood Systems and Basic Concepts on Fuzzifying Topological Spaces
نویسندگان
چکیده
منابع مشابه
A Unified Theory (I) for Neighborhood Systems and Basic Concepts on Fuzzifying Topological Spaces
This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying [25]. It investigates topological notions defined by means of -open sets when these are planted into the framework of Ying’s fuzzifying topological spaces (by Łukasiewicz logic in [0, 1]). In this paper we introduce some sorts of operations, called general fuzzifying opera...
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The concept of a fuzzifying topology was given in [1] under the name L-fuzzy topology. Ying studied in [9, 10, 11] the fuzzifying topologies in the case of L = [0,1]. A classical topology is a special case of a fuzzifying topology. In a fuzzifying topology τ on a set X , every subset A of X has a degree τ(A) of belonging to τ, 0 ≤ τ(A) ≤ 1. In [4], we defined the degrees of compactness, of loca...
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ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2012
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2012.39146