Title of article
SOFT TOPOLOGY AND SOFT PROXIMITY AS FUZZY PREDICATES BY FORMULAE OF LUKASIEWICZ LOGIC
Author/Authors
O. R. Sayed، O. R. Sayed نويسنده Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt , , R. A. Borzooei، R. A. Borzooei نويسنده Department of Mathematics, Shahid Beheshti University, Tehran, Iran ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2016
Pages
16
From page
153
To page
168
Abstract
در اين مقاله، بر پايه منطق لوكاسويچ، مفاهيم ساختار همسايگي نرم فازي شده و پيوستگي نرم فازي شده معرفي خواهد شد. همچنين، فضاي تقريب نرم فازي شده كه يك تعميمي از فضاي تقريب نرم معمولي است بيان خواهد شد. چندين قضيه در فضاي تقريب معمولي حالت خاصي از قضاياي اين مقاله خواهند بود.
Abstract
In this paper, based in the Lukasiewicz logic, the defi nition 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.
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2016
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2399261
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