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Multiplicative consistency of hesitant fuzzy preference relation and its application in group decision making

TLDR
The concepts ofmultiplicative consistency, perfect multiplicative consistency and acceptable multiplier consistency for a hesitant fuzzy preference relation are introduced and two algorithms are given to improve the inconsistency level of a hesitant fuzzier preference relation.
Abstract
As we may have a set of possible values when comparing alternatives (or criteria), the hesitant fuzzy preference relation becomes a suitable and powerful technique to deal with this case. This paper mainly focuses on the multiplicative consistency of the hesitant fuzzy preference relation. First of all, we explore some properties of the hesitant fuzzy preference relation and develop some new aggregation operators. Then we introduce the concepts of multiplicative consistency, perfect multiplicative consistency and acceptable multiplicative consistency for a hesitant fuzzy preference relation, based on which, two algorithms are given to improve the inconsistency level of a hesitant fuzzy preference relation. Furthermore, the consensus of group decision making is studied based on the hesitant fuzzy preference relations. Finally, several illustrative examples are given to demonstrate the practicality of our algorithms.

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Citations
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Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making

TL;DR: Different types of distance and similarity measures for HFLTSs are investigated and developed and the satisfaction degrees for different alternatives are established and are then used to rank alternatives in multi-criteria decision making.
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Hesitant Fuzzy Linguistic VIKOR Method and Its Application in Qualitative Multiple Criteria Decision Making

TL;DR: This paper develops a method to solve the multicriteria decision making (MCDM) problem within the context of HFLTS in which the criteria conflict with each other, and proposes a sort of hesitant fuzzy linguistic measures, which are motivated by the traditional VIKOR method.
Journal ArticleDOI

A VIKOR-based method for hesitant fuzzy multi-criteria decision making

TL;DR: The classical VIKOR method is extended to accommodate hesitant fuzzy circumstances, and a practical example is provided to show that the method is very effective in solving multi-criteria decision making problems with hesitant preference information.
Journal ArticleDOI

A consensus model for large-scale group decision making with hesitant fuzzy information and changeable clusters

TL;DR: A LGDM consensus model in which the clusters are allowed to change and the decision makers provide preferences using fuzzy preference relations is proposed, and an emergency decision to choose a rescue plan is illustrated to validate the proposed method and demonstrate distinctive characteristics compared with the existing approaches.
Journal ArticleDOI

Managing consensus based on leadership in opinion dynamics

TL;DR: This paper aims at developing a consensus building process in opinion dynamics, based on the concept leadership, by analyzing the structure of the social network in which all agents can form a consensus.
References
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Journal ArticleDOI

Intuitionistic fuzzy sets

TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
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Hesitant fuzzy sets

TL;DR: It is proved that the envelope of the hesitant fuzzy sets is an intuitionistic fuzzy set, and it is proved also that the operations proposed are consistent with the ones of intuitionist fuzzy sets when applied to the envelope.
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Hesitant fuzzy information aggregation in decision making

TL;DR: The relationship between intutionistic fuzzy set and hesitant fuzzy set is discussed, based on which some operations and aggregation operators for hesitant fuzzy elements are developed and their application in solving decision making problems is given.
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Evaluating intertwined effects in e-learning programs: A novel hybrid MCDM model based on factor analysis and DEMATEL

TL;DR: Empirical experimental results show the proposed new novel hybrid MCDM model is capable of producing effective evaluation of e-learning programs with adequate criteria that fit with respondent's perception patterns, especially when the evaluation criteria are numerous and intertwined.
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Fuzzy preference orderings in group decision making

TL;DR: F fuzzy preference orderings are defined as fuzzy binary relations satisfying reciprocity and max-min transitivity and those orderings might be useful for proceeding the group decision making process smoothly, in the same manner as the extended contributive rule method.