Heterogeneous Hesitant Fuzzy Preference Relation and Its Application in Group Decision-making

When dealing with group decision making problems, preference relations can give full play to the subjective initiative of decision makers and quantify uncertain information into numerical or linguistic levels, thus reducing the decision-making error caused by subjective assumptions. Considering that...

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Main Authors: FENG Xue, GENG Shengling
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2024-10-01
Series:Journal of Harbin University of Science and Technology
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Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2377
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author FENG Xue
GENG Shengling
author_facet FENG Xue
GENG Shengling
author_sort FENG Xue
collection DOAJ
description When dealing with group decision making problems, preference relations can give full play to the subjective initiative of decision makers and quantify uncertain information into numerical or linguistic levels, thus reducing the decision-making error caused by subjective assumptions. Considering that the hesitant preference relationship can more comprehensively represent the preference information of decision makers, we study the heterogeneous hesitant fuzzy preference relationship of confidence and apply it to group decision-making problems. Firstly, the consistency of three hesitant preference relationships is defined, and three optimization models are established to obtain the weight vector of alternatives. Secondly, the process of building group consensus is established, and feedback mechanisms are used to provide decision-makers with adjustment directions. By gradually adjusting preference relationships, satisfactory decision results and group consensus levels are achieved, and a group decision-making model is established. Finally, the effectiveness and feasibility of the model established in the article in complex decision-making environments were verified through specific examples and comparative analysis.
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publisher Harbin University of Science and Technology Publications
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spelling doaj-art-4a77fef758024ebd8d438ecb54cb39132025-08-20T02:43:36ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832024-10-01290514916010.15938/j.jhust.2024.05.017Heterogeneous Hesitant Fuzzy Preference Relation and Its Application in Group Decision-makingFENG Xue0GENG Shengling1College of Mathematics and Statics, Qinghai Minzu University, Xining 810007 , China;College of Computer Science and Technology, Qinghai Normal University, Xining 810016 , China;The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008 , ChinaCollege of Computer Science and Technology, Qinghai Normal University, Xining 810016 , China;The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008 , ChinaWhen dealing with group decision making problems, preference relations can give full play to the subjective initiative of decision makers and quantify uncertain information into numerical or linguistic levels, thus reducing the decision-making error caused by subjective assumptions. Considering that the hesitant preference relationship can more comprehensively represent the preference information of decision makers, we study the heterogeneous hesitant fuzzy preference relationship of confidence and apply it to group decision-making problems. Firstly, the consistency of three hesitant preference relationships is defined, and three optimization models are established to obtain the weight vector of alternatives. Secondly, the process of building group consensus is established, and feedback mechanisms are used to provide decision-makers with adjustment directions. By gradually adjusting preference relationships, satisfactory decision results and group consensus levels are achieved, and a group decision-making model is established. Finally, the effectiveness and feasibility of the model established in the article in complex decision-making environments were verified through specific examples and comparative analysis.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2377heterogeneous hesitant preference relationsself-confidence levelsconsistencyconsensus reaching processgroup decision-making
spellingShingle FENG Xue
GENG Shengling
Heterogeneous Hesitant Fuzzy Preference Relation and Its Application in Group Decision-making
Journal of Harbin University of Science and Technology
heterogeneous hesitant preference relations
self-confidence levels
consistency
consensus reaching process
group decision-making
title Heterogeneous Hesitant Fuzzy Preference Relation and Its Application in Group Decision-making
title_full Heterogeneous Hesitant Fuzzy Preference Relation and Its Application in Group Decision-making
title_fullStr Heterogeneous Hesitant Fuzzy Preference Relation and Its Application in Group Decision-making
title_full_unstemmed Heterogeneous Hesitant Fuzzy Preference Relation and Its Application in Group Decision-making
title_short Heterogeneous Hesitant Fuzzy Preference Relation and Its Application in Group Decision-making
title_sort heterogeneous hesitant fuzzy preference relation and its application in group decision making
topic heterogeneous hesitant preference relations
self-confidence levels
consistency
consensus reaching process
group decision-making
url https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2377
work_keys_str_mv AT fengxue heterogeneoushesitantfuzzypreferencerelationanditsapplicationingroupdecisionmaking
AT gengshengling heterogeneoushesitantfuzzypreferencerelationanditsapplicationingroupdecisionmaking