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J. A. Goguen, “The Fuzzy Tychonoff Theorem,” Journal of Mathematical Analysis and Applications, Vol. 43, No. 3, 1973, pp. 182-190. doi:10.1016/0022-247X(73)90288-6

has been cited by the following article:

• TITLE: A Unified Theory (I) for Neighborhood Systems and Basic Concepts on Fuzzifying Topological Spaces

  AUTHORS: Osama Rashed Sayed

  KEYWORDS: Lukasiewicz Logic; Semantics; Fuzzifying Topology

  JOURNAL NAME: Applied Mathematics, Vol.3 No.9, September 27, 2012

  ABSTRACT: 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, τ) is a fuzzifying topological space. By making use of them we contract neighborhood structures, derived sets, closure operations and interior operations.