乘积t范数的模糊算法

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-12-01 DOI:10.22111/IJFS.2021.6341

G. Soylu, M. Aslan

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引用次数: 0

摘要

利用乘积t范数进行模糊算法是本文的研究重点。这个问题从实践和理论两个角度来处理。给出了三角模糊数的乘积和与乘积的显式公式。这些公式可以有效地取代目前提出的计算方法。这些运算不是形状保持的问题是通过适当的近似来解决的。最后，将乘积算法与边界t-范数即最小和最大和的算法进行了详细的比较。

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Fuzzy arithmetic with product t-norm

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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来源期刊

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.