{"title":"The Ordinal Consistency of a Hesitant Fuzzy Preference Relation","authors":"Xue Feng, Shenglin Geng, Banghe Han","doi":"10.1142/s0219265923500093","DOIUrl":null,"url":null,"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.","PeriodicalId":53990,"journal":{"name":"JOURNAL OF INTERCONNECTION NETWORKS","volume":"12 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF INTERCONNECTION NETWORKS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0219265923500093","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
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.
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.
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