A Unified Theory (I) for Neighborhood Systems and Basic Concepts on Fuzzifying Topological Spaces
نویسنده
چکیده
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 operations from P X to X , where , X is a fuzzifying topological space. By making use of them we contract neighborhood structures, derived sets, closure operations and interior operations.
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