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SOFT TOPOLOGY AND SOFT PROXIMITY AS FUZZY PREDICATES BY FORMULAE OF LUKASIEWICZ LOGIC | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 10، دوره 13، شماره 7، اسفند 2016، صفحه 153-168 اصل مقاله (477.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2948 | ||
| نویسندگان | ||
| O. R. Sayed1؛ R. A. Borzooei* 2 | ||
| 1Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt | ||
| 2Department of Mathematics, Shahid Beheshti University, Tehran, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Soft set؛ Soft topology؛ Fuzzifying soft topology؛ Fuzzifying soft proximity | ||
| مراجع | ||
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