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ABSORBENT ORDERED FILTERS AND THEIR FUZZIFICATIONS IN IMPLICATIVE SEMIGROUPS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 6، شماره 1، اردیبهشت 2009، صفحه 45-61 اصل مقاله (239.67 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2009.219 | ||
| نویسندگان | ||
| Young Bae Jun1؛ Chul Hwan Park* 2؛ D. R. Prince Williams3 | ||
| 1Department of Mathematics Education and (RINS), Gyeongsang National University, Chinju 660-701, Korea | ||
| 2Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea | ||
| 3Department of Information Technology, Salalah College of Technology, Post Box: 608, Salalah-211, Sultanate of Oman | ||
| چکیده | ||
| The notion of absorbent ordered filters in implicative semigroups is introduced, and its fuzzification is considered. Relations among (fuzzy) ordered filters, (fuzzy) absorbent ordered filters, and (fuzzy) positive implicative ordered filters are stated. The extensionproperty for (fuzzy) absorbent ordered filters is established. Conditions for (fuzzy) ordered filters to be (fuzzy) absorbent ordered filters are provided. The notions of normal/maximal fuzzy absorbent ordered filters and complete absorbent ordered filters are introduced and their properties are investigated. | ||
| کلیدواژه‌ها | ||
| Implicative semigroup؛ (fuzzy) positive implicative ordered filter؛ (fuzzy) absorbent ordered filter؛ Normal fuzzy absorbent ordered filter؛ Maximal fuzzy absorbent ordered filter؛ Complete fuzzy absorbent ordered filter | ||
| مراجع | ||
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