A Method Adjusting Consistency and Consensus for Group Decision-Making Problems with Hesitant Fuzzy Linguistic Preference Relations Based on Discrete Fuzzy Numbers
Joint Authors
Zhao, Meng
Liu, Ting
Su, Jia
Liu, Meng-Ying
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In each hesitant fuzzy linguistic preference relation, experts may express their opinions through comparison linguistic information combined with a discrete fuzzy number.
In this paper, a hesitant fuzzy linguistic computational model based on discrete fuzzy numbers whose support is a subset of consecutive natural numbers is proposed, which enriches the flexibility of group decision-making.
First, some main concepts related to discrete fuzzy numbers and an aggregation function of individual subjective linguistic preference relations are introduced.
Then, a consistency measure is presented to check and improve the consistency in a given matrix.
Further, in order to achieve the predefined degree of consensus and to arrive at the final result, a consensus-reaching process based on the interactive feedback mechanism is defined.
Meanwhile, a revised formula is introduced to calculate the consistency and the degree of consensus in a preference relation matrix.
Besides, an illustrative example and comparative analysis are conducted through the proposed calculation process and the optimization algorithm.
Finally, the analysis on the threshold values is made to help the decision-maker determine critical consensus level.
The proposed method can address both consistency and consensus, and the results confirmed the effectiveness of the proposed method and its potential use in the qualitative decision-making problems.
American Psychological Association (APA)
Zhao, Meng& Liu, Ting& Su, Jia& Liu, Meng-Ying. 2018. A Method Adjusting Consistency and Consensus for Group Decision-Making Problems with Hesitant Fuzzy Linguistic Preference Relations Based on Discrete Fuzzy Numbers. Complexity،Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1136693
Modern Language Association (MLA)
Zhao, Meng…[et al.]. A Method Adjusting Consistency and Consensus for Group Decision-Making Problems with Hesitant Fuzzy Linguistic Preference Relations Based on Discrete Fuzzy Numbers. Complexity No. 2018 (2018), pp.1-17.
https://search.emarefa.net/detail/BIM-1136693
American Medical Association (AMA)
Zhao, Meng& Liu, Ting& Su, Jia& Liu, Meng-Ying. A Method Adjusting Consistency and Consensus for Group Decision-Making Problems with Hesitant Fuzzy Linguistic Preference Relations Based on Discrete Fuzzy Numbers. Complexity. 2018. Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1136693
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136693