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The Stably Multiplicative Consistency of Fuzzy Preference Relation and Interval-Valued Hesitant Fuzzy Preference Relation [PDF]

IEEE Access, 2019
Preference relations are generally used to cope with multi-attribute group decision making (MAGDM), which express the experts’ preference information through pairwise comparisons.
Yuling Zhai, Zeshui Xu, Huchang Liao
doaj   +2 more sources

Regression methods for hesitant fuzzy preference relations

Technological and Economic Development of Economy, 2014
In this paper, we develop two regression methods that transform hesitant fuzzy preference relations (HFPRs) into fuzzy preference relations (FPRs). On the basis of the complete consistency, reduced FPRs with the highest consistency levels can be derived ...
Bin Zhu, Zeshui Xu
doaj   +4 more sources

Probability-hesitant fuzzy sets and the representation of preference relations

Technological and Economic Development of Economy, 2018
Probability interpretations play an important role in understanding decision makers’ (DMs) behaviour in decision making. In this paper, we extend hesitant fuzzy sets to probability-hesitant fuzzy sets (P-HFSs) to enhance their modeling ability by taking ...
Bin Zhu, Zeshui Xu
doaj   +4 more sources

Multi-attribute group decision making based on hesitant fuzzy sets, TOPSIS method and fuzzy preference relations

Technological and Economic Development of Economy, 2018
Hesitant fuzzy sets (HFSs) are widely applied in pattern recognition, classification, clustering, and multiple attribute decision making. In order to get more accurate decision results, the order relation of HFSs is particularly important. In this paper,
Jibin Lan, Mian Yang, Mingming Hu, Fang Liu   +3 more
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Heterogeneous Hesitant Fuzzy Preference Relation and Its Application in Group Decision-making

Journal of Harbin University of Science and Technology
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 ...
FENG Xue, GENG Shengling
doaj   +2 more sources

Multiobjective Programming Approaches to Obtain the Priority Vectors under Uncertain Probabilistic Dual Hesitant Fuzzy Preference Environment

International Journal of Computational Intelligence Systems, 2021
This paper develops uncertain probabilistic dual hesitant fuzzy numbers (UPDHFN), which includes six types of dual hesitant fuzzy sets (DHFNs). Next, the UPDHFN is applied to the uncertain probabilistic dual hesitant fuzzy preference relation (UPDHFPR ...
Songtao Shao, Xiaohong Zhang
doaj   +1 more source

FMEA Assessment Under Heterogeneous Hesitant Fuzzy Preference Relations: Based on Extended Multiplicative Consistency and Group Decision Making

IEEE Access, 2023
Failure mode and effects analysis (FMEA) is a reliability analysis method that analysis all possible failure modes for each product in a system and all possible effects of failure modes on the system, to classify each failure mode and to propose ...
Zihui Liu, Zheng Wei, Yanhong Fang
doaj   +1 more source

Revisiting Additive Consistency of Hesitant Fuzzy Linguistic Preference Relations

Symmetry, 2022
Consistency has always been a hot topic in the study of decision-making based on preference relations. This paper focuses on the consistency of hesitant fuzzy linguistic preference relations (HFLPRs). Firstly, a new definition of the additive consistency of HFLPRs is given.
Huimin Zhang, Yiyi Dai
openaire   +1 more source

Fusion of heterogeneous incomplete hesitant preference relations in group decision making

International Journal of Computational Intelligence Systems, 2016
In this paper, we focus on the fusion of heterogeneous incomplete hesitant preference relations (including hesitant fuzzy preference relations and hesitant multiplicative preference relations) under group decision making settings.
Zhen Zhang, Chonghui Guo
doaj   +1 more source

Group Decision Making With Probabilistic Hesitant Multiplicative Preference Relations Based on Consistency and Consensus

IEEE Access, 2018
The probabilistic hesitant multiplicative preference relations (PHMPRs) can model the opinions of the decision makers for pairwise comparisons over alternatives using some possible values from Saaty's 1-9 scale with the probability information.
Mingwei Lin, Qianshan Zhan, Zeshui Xu, Riqing Chen   +3 more
doaj   +1 more source