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Symmetry 2018, 10(5), 177; https://doi.org/10.3390/sym10050177

A Novel Comparison of Probabilistic Hesitant Fuzzy Elements in Multi-Criteria Decision Making

1
Command & Control Engineering College, Army Engineering University of PLA, Nanjing 211101, China
2
Business School, Sichuan University, Chengdu 610064, China
3
Fundamental Education Department, Army Engineering University of PLA, Nanjing 211101, China
*
Author to whom correspondence should be addressed.
Received: 26 April 2018 / Revised: 18 May 2018 / Accepted: 18 May 2018 / Published: 21 May 2018
(This article belongs to the Special Issue Symmetry in Computing Theory and Application)
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Abstract

The probabilistic hesitant fuzzy element is a common tool to deal with multi-criteria decision-making problems when the decision makers are irresolute in providing their evaluations. The existing methods for ranking probabilistic hesitant fuzzy elements are limited and not reasonable in practical applications. The main purpose of this paper is to find a more precise and appropriate comparison method so that we can deal with multi-criteria decision-making problems more efficiently. We first propose a chart technique to analyze the structure of a probabilistic hesitant fuzzy element. After that, we propose a novel possibility degree formula to rank probabilistic hesitant fuzzy elements. Last but not least, we provide a useful process to solve the actual multi-criteria decision-making problems, and make a real case study which demonstrates that our method is feasible and reliable. View Full-Text
Keywords: probabilistic hesitant fuzzy elements; multi-criteria decision making; possibility degree formula; fuzzy ranking probabilistic hesitant fuzzy elements; multi-criteria decision making; possibility degree formula; fuzzy ranking
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Song, C.; Xu, Z.; Zhao, H. A Novel Comparison of Probabilistic Hesitant Fuzzy Elements in Multi-Criteria Decision Making. Symmetry 2018, 10, 177.

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