%0 Journal Article
%T A Unified Theory (I) for Neighborhood Systems and Basic Concepts on Fuzzifying Topological Spaces
%A Osama Rashed Sayed
%J Applied Mathematics
%P 983-996
%@ 2152-7393
%D 2012
%I Scientific Research Publishing
%R 10.4236/am.2012.39146
%X This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying. It investigates topological notions defined by means of  -open sets when these are planted into the frame-work of Ying¡¯s fuzzifying topological spaces (by Lukasiewicz logic in [0, 1]). In this paper we introduce some sorts of operations, called general fuzzifying operations from P(X) to   , where (X, ¦Ó) is a fuzzifying topological space. By making use of them we contract neighborhood structures, derived sets, closure operations and interior operations.
%K Lukasiewicz Logic
%K Semantics
%K Fuzzifying Topology
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=22998