Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations

Wu, Zhibin; Xu, Jiuping

doi:10.1016/j.omega.2015.12.005

Cited by 300 publications

(146 citation statements)

References 73 publications

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“…To testify the validity and advantages of the proposed method, several methods for HFLPRs [23][24][25][26][27][28] can be made for comparisons.…”

Section: Comparative Analysismentioning

confidence: 99%

“…Thus, the rankings are unavailable in these cases. In literature [25], Wu and Xu discussed some issues of HFLPRs on consistency and consensus, and defined a consistency index based on distance measure. Nevertheless, dissimilar ranking results may occur with different adjust preference when the feedback mechanism was adopted to improve the consistency level in this literature [25].…”

Section: Comparative Analysismentioning

confidence: 99%

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Selecting the Optimal Mine Ventilation System via a Decision Making Framework under Hesitant Linguistic Environment

2018

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Ventilation systems are amongst the most essential components of a mine. As the indicators of ventilation systems are in general of ambiguity or uncertainty, the selection of ventilation systems can therefore be regarded as a complex fuzzy decision making problem. In order to solve such problems, a decision making framework based on a new concept, the hesitant linguistic preference relation (HLPR), is constructed. The basic elements in the HLPR are hesitant fuzzy linguistic numbers (HFLNs). At first, new operational laws and aggregation operators of HFLNs are defined to overcome the limitations in existing literature. Subsequently, a novel comparison method based on likelihood is proposed to obtain the order relationship of two HFLNs. Then, a likelihood-based consistency index is introduced to represent the difference between two hesitant linguistic preference relations (HLPRs). It is a new way to express the consistency degree for the reason that the traditional consistency indices are almost exclusively based on distance measures. Meanwhile, a consistency-improving model is suggested to attain acceptable consistent HLPRs. In addition, a method to receive reasonable ranking results from HLPRs with acceptable consistency is presented. At last, this method is used to pick out the best mine ventilation system under uncertain linguistic decision conditions. A comparison and a discussion are conducted to demonstrate the validity of the presented approach. The results show that the proposed method is effective for selecting the optimal mine ventilation system, and provides references for the construction and management of mines.

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“…To testify the validity and advantages of the proposed method, several methods for HFLPRs [23][24][25][26][27][28] can be made for comparisons.…”

Section: Comparative Analysismentioning

confidence: 99%

Section: Comparative Analysismentioning

confidence: 99%

Selecting the Optimal Mine Ventilation System via a Decision Making Framework under Hesitant Linguistic Environment

2018

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show abstract

“…Given a set of alternatives in a GDM problem, experts can express their preferences in different ways such as: fuzzy preference relations [12,20,23], multiplicative preference relations [20,45], linguistic preference relations [1,2,39], hesitant fuzzy preference relations [46,47] or intuitionistic fuzzy preference relations [27,28,29,50].…”

Section: Introductionmentioning

confidence: 99%

An analysis of consensus approaches based on different concepts of coincidence

Moral

Tapia

Chiclana

et al. 2018

IFS

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Soft consensus is a relevant topic in group decision making problems. Soft consensus measures are utilized to reflect the different agreement degrees between the experts leading the consensus reaching process. This may determine the final decision and the time needed to reach it. The concept of coincidence has led to two main approaches to calculating the soft consensus measures, namely, concordance among expert preferences and concordance among individual solutions. In the first approach the coincidence is obtained by evaluating the similarity among the expert preferences, while in the second one the concordance is derived from the measurement of the similarity among the solutions proposed by these experts. This paper performs a comparative study of consensus approaches based on both coincidence approaches. We obtain significant differences between both approaches by comparing several distance functions for measuring expert preferences and a consensus measure over the set of alternatives for measuring the solutions provided by experts. To do so, we use the nonparametric Wilcoxon signed-ranks test. Finally, these outcomes are analyzed using Friedman mean ranks in order to obtain a quantitative classification of the considered measurements according to the convergence criterion considered in the consensus reaching process.

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“…Finding the best option or solution from alternatives is the main aim in group decision making problems. Recently, various approaches have been developed to solve this problem from a variety of science areas: Operational Research (see e.g., [17] and [20]), Statistical Analysis (see e.g., [45], [23] and [1]), Fuzzy Theory (see e.g., [18], [59] and [46]), and Computational Analysis (see e.g., [37] and [60]). …”

Section: Introductionmentioning

confidence: 99%

A new consensus ranking approach for correlated ordinal information based on Mahalanobis distance

González-Arteaga

Alcantud

Calle

2016

Information Sciences

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We investigate from a global point of view the existence of cohesiveness among experts' opinions. We address this general issue from three basic essentials: the management of experts' opinions when they are expressed by ordinal information; the measurement of the degree of dissensus among such opinions; and the achievement of a group solution that conveys the minimum dissensus to the experts' group. Accordingly, we propose and characterize a new procedure to codify ordinal information. We also define a new measurement of the degree of dissensus among individual preferences based on the Mahalanobis distance. It is especially designed for the case of possibly correlated alternatives. Finally, we investigate a procedure to obtain a social consensus solution that also includes the possibility of alternatives that are correlated. In addition, we examine the main traits of the dissensus measurement as well as the social solution proposed. The operational character and intuitive interpretation of our approaches are illustrated by an explanatory example.

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Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations

Cited by 300 publications

References 73 publications

Selecting the Optimal Mine Ventilation System via a Decision Making Framework under Hesitant Linguistic Environment

Selecting the Optimal Mine Ventilation System via a Decision Making Framework under Hesitant Linguistic Environment

An analysis of consensus approaches based on different concepts of coincidence

A new consensus ranking approach for correlated ordinal information based on Mahalanobis distance

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