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Soft topology and soft proximity as fuzzy predicates by formulae of Łukasiewicz logic

Research Authors
O. R. Sayed and R. A. Borzooei
Research Abstract

In this paper, based in the Lukasiewicz logic, the definition of fuzzifying soft neighborhood structure and fuzzifying soft continuity are introduced. Also, the fuzzifying soft proximity spaces which are a generalization of the classical soft proximity spaces are given. Several theorems on classical soft proximities are special cases of the theorems we prove in this paper.

@University of Sistan and Baluchestan, Iran.

Research Department
Research Journal
Iranian Journal of Fuzzy Systems
Research Member
Research Vol
13 (7)
Research Year
2016
Research Pages
153-168