区间空间新度量族及其在多标准决策理论中的应用

IF 10.7 1区计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

IEEE Transactions on Fuzzy Systems Pub Date : 2024-10-10 DOI:10.1109/TFUZZ.2024.3478827

Y. Chalco-Cano;T. M. Costa;Benjamín Bedregal;Ademir G. Chalco Cano

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A New Family of Metrics in Interval Space and Their Applications to Multicriteria Decision-Making Theory

In this article, we analyze the properties of automorphisms in

$\mathbb {R}^{2}$

. Then, we consider a subclass of these automorphisms which generate a preference order relation and asymmetric distances between bounded and closed intervals. Symmetrizing these distances, we generate a new family of metrics in this space of intervals which depends on the automorphisms. We study its properties and give a characterization that allows us to calculate the distance between intervals in a simple way. We provide many examples to illustrate our results as well as an application in multicriteria decision-making methods with interval data.

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来源期刊

IEEE Transactions on Fuzzy Systems 工程技术-工程：电子与电气

CiteScore

20.50

自引率

13.40%

发文量

517

审稿时长

3.0 months

期刊介绍： The IEEE Transactions on Fuzzy Systems is a scholarly journal that focuses on the theory, design, and application of fuzzy systems. It aims to publish high-quality technical papers that contribute significant technical knowledge and exploratory developments in the field of fuzzy systems. The journal particularly emphasizes engineering systems and scientific applications. In addition to research articles, the Transactions also includes a letters section featuring current information, comments, and rebuttals related to published papers.