Fuzzy arithmetic with product t-norm

	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 (233.88 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

آمار تعداد مشاهده مقاله: 863 تعداد دریافت فایل اصل مقاله: 1,094

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