多维区间2型认知模糊算法

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-10-01 DOI:10.22111/IJFS.2021.6253

A. Piegat, M. Landowski

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引用次数: 1

摘要

本文提出了一种新的2型模糊数的多维算法(M-IT2-F算法)，其结果是一个多维模糊集。与目前使用的区间2型标准模糊算法(IT2-SF算法)相比，该算法提高了计算的准确性和解决问题的范围。所提出的M-IT2-F算法具有IT2-SF算法所不具备的数学性质。由于这些特性，它提供了准确的计算结果，在不确定性方面不会被高估或低估。本文比较了这两种算法在两个问题中的应用。模糊算法还没有完成，还处于不断改进和发展的阶段。M-IT2- f算法是M-IT2(非模糊)算法的高级形式。

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Multidimensional interval type 2 epistemic fuzzy arithmetic

The article presents a new, multidimensional arithmetic of type 2 fuzzy numbers (M-IT2-F arithmetic) in which the result is a multidimensional fuzzy set. This arithmetic increases the accuracy of calculations and the scope of problems solved in relation to the currently used interval type 2 standard fuzzy arithmetic (IT2-SF arithmetic). The proposed M-IT2-F arithmetic has mathematical properties that IT2-SF arithmetic does not have. Thanks to these properties, it provides accurate calculation results that are not over- or under-estimated in terms of uncertainty. The paper contains comparisons of both types of arithmetic in application to two problems. Fuzzy arithmetic is not a finished work and is in a phase of continuous improvement and development. M-IT2-F arithmetic is a higher form of M-IT2 (non-fuzzy) arithmetic.

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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 Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.