Multidimensional interval type 2 epistemic fuzzy arithmetic

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-10-01 DOI:10.22111/IJFS.2021.6253

A. Piegat, M. Landowski

引用次数: 1

Abstract

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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多维区间2型认知模糊算法

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.