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FUZZY INCLUSION LINEAR SYSTEMS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 14، شماره 4، آبان 2017، صفحه 117-137 اصل مقاله (223.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3329 | ||
| نویسنده | ||
Mojtaba Ghanbari 
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| Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran | ||
| چکیده | ||
| In this manuscript, we introduce a new class of fuzzy problems, namely ``fuzzy inclusion linear systems" and propose a fuzzy solution set for it. Then, we present a theoretical discussion about the relationship between the fuzzy solution set of a fuzzy inclusion linear system and the algebraic solution of a fuzzy linear system. New necessary and sufficient conditions are derived for obtaining the unique algebraic solution for a fuzzy linear system. Also, all new concepts are illustrated by numerical examples. | ||
| کلیدواژه‌ها | ||
| Fuzzy linear system؛ Fuzzy inclusion linear system؛ Fuzzy solution set؛ Lower $r$-boundary؛ Upper $r$-boundary | ||
| مراجع | ||
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