Sayed, O., Borzooei, R. (2016). SOFT TOPOLOGY AND SOFT PROXIMITY AS FUZZY PREDICATES BY FORMULAE OF LUKASIEWICZ LOGIC. Iranian Journal of Fuzzy Systems, 13(7), 153-168. doi: 10.22111/ijfs.2016.2948

O. R. Sayed; R. A. Borzooei. "SOFT TOPOLOGY AND SOFT PROXIMITY AS FUZZY PREDICATES BY FORMULAE OF LUKASIEWICZ LOGIC". Iranian Journal of Fuzzy Systems, 13, 7, 2016, 153-168. doi: 10.22111/ijfs.2016.2948

Sayed, O., Borzooei, R. (2016). 'SOFT TOPOLOGY AND SOFT PROXIMITY AS FUZZY PREDICATES BY FORMULAE OF LUKASIEWICZ LOGIC', Iranian Journal of Fuzzy Systems, 13(7), pp. 153-168. doi: 10.22111/ijfs.2016.2948

Sayed, O., Borzooei, R. SOFT TOPOLOGY AND SOFT PROXIMITY AS FUZZY PREDICATES BY FORMULAE OF LUKASIEWICZ LOGIC. Iranian Journal of Fuzzy Systems, 2016; 13(7): 153-168. doi: 10.22111/ijfs.2016.2948

SOFT TOPOLOGY AND SOFT PROXIMITY AS FUZZY PREDICATES BY FORMULAE OF LUKASIEWICZ LOGIC

^{1}Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

^{2}Department of Mathematics, Shahid Beheshti University, Tehran, Iran

Abstract

In this paper, based in the \L ukasiewicz logic, the definition of fuzzifying soft neighborhood structure and fuzzifying soft continuity are introduced. Also, the fuzzifying soft proximity spaces which are a generalizations 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.

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