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Fuzzy arithmetic with product t-norm | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 14، دوره 18، شماره 6، بهمن و اسفند 2021، صفحه 185-197 اصل مقاله (233.42 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6341 | ||
| نویسندگان | ||
| G. Soylu* ؛ M. E. Aslan | ||
| Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey | ||
| چکیده | ||
| Fuzzy arithmetic performed with the product t-norm is the focus of this paper. The subject is handled from both practical and theoretical perspectives. Explicit formulas for product-sum and product-multiplication of triangular fuzzy numbers are obtained. These formulas can effectively replace the computational methods proposed so far. The issue that these operations are not shape preserving is solved by the presentation of appropriate approximations. Finally, the product arithmetic is compared in detail to the arithmetic performed with the boundary t-norms, namely the minimum and drastic sum. | ||
| کلیدواژه‌ها | ||
| Fuzzy arithmetic؛ product t-norm؛ fuzzy number | ||
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آمار تعداد مشاهده مقاله: 127 تعداد دریافت فایل اصل مقاله: 112 |
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