Article citationsMore>>

S. E. Rodabaugh, “Categorical Foundations of VariableBasis Fuzzy Topology,” In: U. H?hle and S. E. Rodabaugh, Eds., Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Vol. 3, Kluwer Academic Publishers, Dordrecht, 1999, pp. 273-388.

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.