Fuzzy arithmetic with product t-norm
Publish place: Iranian Journal of Fuzzy Systems، Vol: 18، Issue: 6
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-18-6_014
تاریخ نمایه سازی: 11 مهر 1400
Abstract:
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.
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Authors
G. Soylu
Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey
M. E. Aslan
Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey