A Novel Multicriteria Group Decision-Making Approach with Hesitant Picture Fuzzy Linguistic Information

Abstract

In real-life group decision-making environment, different decision-makers (DMs) might be hesitant to provide their evaluation by more than two linguistic terms with positive, neutral, negative, and refusal information (e.g., attitude for support, neutral, oppose, and refusal) for criteria of alternative. In order to solve such kinds of decision-making problems, a novel definition of hesitant picture fuzzy linguistic sets (HPFLSs) is introduced, and the HPFLS-based methods are developed. Considering the operation laws appeared in previous papers are not well suitable for HPFLS operation, the novel operation laws of HPFLSs are developed. Then, two aggregation operators of HPFLSs are developed, including hesitant picture fuzzy linguistic weighted average operator (HPFLSWA) and hesitant picture fuzzy linguistic weighted geometric operator (HPFLSGA). Meanwhile, the related proofs are given in detail. Additionally, the comparison method of score and accuracy functions is provided to rank the alternative. Finally, a real-life case of teaching performance evaluation is used to verify the proposed methods. The same case-based comparisons are further conducted between the proposed method and previous methods. The results showed that the proposed method can well overcome the lack of operation rules appeared in previous multicriteria group decision-making (MCGDM) methods and demonstrate effectiveness.

An Overview of Hesitant Fuzzy Linguistic Term Set Applications in Supply Chain Management: The State of the Art and Future Directions

“…Hesitant Picture Fuzzy Linguistic Set (HPFLTS): is based on Picture 2-Tuple Linguistic Term Sets and arose to avoid the loss of DM information. In this representation, each term selected by the DM ( ) is accompanied by the crisp values of the positive membership degrees ( ), of the undetermined membership degrees ( ) , and the negative membership degrees ( ) [41].…”

Selecting Personnel with the Weighted Cross-Entropy TOPSIS of Hesitant Picture Fuzzy Linguistic Sets

“…Considering the real-life decision-making environment, decision-makers might be hesitant to provide the evaluation information with different attitude; thus, Yang et al [23] defined hesitant picture fuzzy linguistic sets (HPFLSs).…”

“…HPFLSs [23], as the extensive set of PFS, elaborated the advantages of both hesitant linguistic set and picture fuzzy set, which are more suitable for the practical hesitant decision-making problem together with different attitude information. As mentioned, the above example of job applicant interview, if the evaluation linguistic terms set is s 5 � outstading excellent; s 4 � excellent; s 3 � merit; 􏼈 s 2 � average; s 1 � pass; s 0 � failure}, then the evaluation value with different attitude information provided by the interviewers can be collected as a set of 〈 (s 4 ), (0.7, 0, 0) 􏼈 􏼉, (s 5 ), (0, 0, 0.7) 􏼈 􏼉〉, and it is called as HPFLSs.…”

A novel picture fuzzy linguistic Muirhead Mean aggregation operators and their application to multiple attribute decision making

“…The Picture fuzzy set is composed of three degrees representing the degree of positive membership, the degree of neutral membership, and the degree of negative membership. Since the appearance of the PFS, much progress has been made in the research of the PFS theory Cuong and Hai (2015); Singh (2015); Son (2015); ; Ju et al (2020); Yang et al (2020); Wang et al (2020); Qiyas et al (2020); Jana et al (2019); Wei (2018); Khalil et al (2019). Such as Singh (2015) put forward a clustering analysis method based on his research on the correlation coefficients of PFS.…”