The Ordinal Consistency of a Hesitant Fuzzy Preference Relation

IF 0.5 Q4 COMPUTER SCIENCE, THEORY & METHODS

JOURNAL OF INTERCONNECTION NETWORKS Pub Date : 2023-07-19 DOI:10.1142/s0219265923500093

Xue Feng, Shenglin Geng, Banghe Han

引用次数: 0

Abstract

An efficient solution to the misleading solutions of decision-making problems is the study of consistency when the decision makers express their opinions by means of fuzzy preference relations. To elucidate the consistency of HFPRs, the S-ordinal consistency of HFPRs was proposed, and S-OCI was also proposed to evaluate the degree of consistency of a hesitant fuzzy preference relation by calculating the unreasonable 3-cycles in the directed graph. Two novel methods were also proposed for calculation of the S-OCI. Moreover, the inconsistent judgment in hesitation fuzzy preference relation was developed. In order to repair the inconsistency of a hesitant fuzzy preference relation, an algorithm for finding and removing 3-cycles in digraph was developed. Finally, some illustrative examples were given to prove the effectiveness of the method.

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一类犹豫模糊偏好关系的序一致性

研究决策者利用模糊偏好关系表达意见时的一致性是解决决策问题的有效方法。为了阐明hfpr的一致性，提出了hfpr的s序数一致性，并提出了S-OCI，通过计算有向图中不合理的3圈来评价犹豫不决模糊偏好关系的一致性程度。提出了计算S-OCI的两种新方法。提出了犹豫模糊偏好关系中的不一致判断。为了修复犹豫不决模糊偏好关系的不一致性，提出了一种有向图中3圈的查找和去除算法。最后，通过算例验证了该方法的有效性。

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

JOURNAL OF INTERCONNECTION NETWORKS COMPUTER SCIENCE, THEORY & METHODS-

自引率

14.30%

发文量

121

期刊介绍： The Journal of Interconnection Networks (JOIN) is an international scientific journal dedicated to advancing the state-of-the-art of interconnection networks. The journal addresses all aspects of interconnection networks including their theory, analysis, design, implementation and application, and corresponding issues of communication, computing and function arising from (or applied to) a variety of multifaceted networks. Interconnection problems occur at different levels in the hardware and software design of communicating entities in integrated circuits, multiprocessors, multicomputers, and communication networks as diverse as telephone systems, cable network systems, computer networks, mobile communication networks, satellite network systems, the Internet and biological systems.