Fuzzy arithmetic with product t-norm

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Soylu G.; Aslan M. E.

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ISSN: 2588-4824

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Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:6 Page(s): 185-197

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Information Journal Paper

Title

Fuzzy arithmetic with product t-norm

Author(s)

Soylu G. | Aslan M. E. | Issue Writer Certificate

Keywords

Fuzzy arithmeticQ2

product t-normQ2

fuzzy numberQ2

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 e ectively 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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APA: Copy

Soylu, G., & Aslan, M. E.. (2021). Fuzzy arithmetic with product t-norm. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(6 ), 185-197. SID. https://sid.ir/paper/413843/en

Vancouver: Copy

Soylu G., Aslan M. E.. Fuzzy arithmetic with product t-norm. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(6 ):185-197. Available from: https://sid.ir/paper/413843/en

IEEE: Copy

G. Soylu, and M. E. Aslan, “Fuzzy arithmetic with product t-norm,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 6 , pp. 185–197, 2021, [Online]. Available: https://sid.ir/paper/413843/en

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