Hesitant Fuzzy Linguistic Maclaurin Symmetric Mean Operators and their Applications to Multi-Criteria Decision-Making Problem

Yu, Su-min; Zhang, Hongyu; Wang, Jianqiang

doi:10.1002/int.21907

Cited by 52 publications

(18 citation statements)

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“…Considering that decision-maker may be hesitant to give the evaluation value using the linguistic term, hesitant fuzzy linguistic set [24] was defined. en, hesitant fuzzy linguistic set-based methods [25][26][27] were proposed. In order to effectively address practical decision-making issues, many extensive approaches are conducted.…”

Section: Introductionmentioning

confidence: 99%

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

Yang

Qian

2020

Mathematical Problems in Engineering

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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.

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Section: Introductionmentioning

confidence: 99%

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

Yang

Qian

2020

Mathematical Problems in Engineering

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“…Wei and Lu presented some Pythagorean fuzzy MSM operators, and then, Li, Wei, and Lu extended these Pythagorean fuzzy MSM operators to the interval‐valued environment. Yu, Zhang, and Wang worked for MSM operator under hesitant fuzzy linguistic environment. Garg proposed some hesitant Pythagorean fuzzy MSM operators and discussed their applications for MADM.…”

Section: Introductionmentioning

confidence: 99%

Some q‐rung interval‐valued orthopair fuzzy Maclaurin symmetric mean operators and their applications to multiple attribute group decision making

et al. 2019

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In this paper, according to the Maclaurin symmetric mean (MSM) operator, the dual MSM (DMSM) operator and the q-rung interval-valued orthopair fuzzy set (q-RIVOFS), we develop some novel MSM operators under the q-rung interval-valued orthopair fuzzy environment, such as, the q-rung interval-valued orthopair fuzzy MSM operator, the q-rung interval-valued orthopair fuzzy weighted MSM (q-RIVOFWMSM) operator, the q-rung interval-valued orthopair fuzzy DMSM operator, and the q-rung interval-valued orthopair fuzzy weighted DMSM operator. In addition, some precious properties and numerical examples of these new operators are given in detail. These new operators have the advantages of considering the interrelationship of arguments and can deal with multiple attribute group decision-making problems with q-rung interval-valued orthopair fuzzy information. Finally, a reality example for green suppliers selection in green supply chain management is provided to demonstrate the proposed approach and to verify its rationality and scientific. green suppliers selection, multiple attribute group decision making (MAGDM), q-RIVOFWDMSM operator, q-RIVOFWMSM operator, q-rung interval-valued orthopair fuzzy sets (q-RIVOFSs) | INTRODUCTIONIn the study of fuzzy sets (FSs) 1 fields, finding the suitable way to express evaluation information is a hot topic. Although the intuitionistic FSs (IFSs) 2-7 and Pythagorean FSs (PFSs) [8][9][10][11][12][13][14][15][16] have emerged as useful tools to deal with actual decision-making problems, however, the scope of their assessment information remains limited. Thus, to overcome this limitation, the q-rung orthopair fuzzy set (q-ROFS), 17 which is characterized by the sum of q-th power of membership and nonmembership is less or equal to 1, was proposed for MADM problems. Since that, the q-ROFS has aroused the attention of a large number of scholars since its appearance. 18-21 Based on the weighted average (WA) operator and the weighted geometric (WG) operator, [22][23][24][25][26] Liu and Wang 27 developed two q-rung orthopair fuzzy aggregation operator to fuse q-rung orthopair fuzzy numbers. Combined q-rung orthopair fuzzy information and MSM operators, Wei, Wei, Wang, Gao, and Wei 28 proposed some new q-rung orthopair fuzzy aggregation operators and studied their applications to potential evaluation of emerging technology commercialization. Liu, Wang and Liu 29 proposed some q-rung orthopair fuzzy Heronian mean operators and q-rung orthopair fuzzy partitioned Heronian mean operators for MADM, and then some special cases about these operators were discussed. Based on the cosine similarity measure and cotangent similarity measure, Wang, Wang, Wei, and Wei 30 defined some novel q-rung orthopair fuzzy cosine and cotangent similarity measures. Bai, Zhu, Wang, and Zhang 31 defined some q-rung orthopair fuzzy partitioned Maclaurin symmetric mean (MSM) operators for MADM. Xu, Shang, Wang, Wu, and Huang 32 combined the q-ROFS and the dual hesitant fuzzy set to propose the q-rung dual hesitant orthopair fuzz...

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“…Recently, linguistic MCDM methods have been studied in many fields [5]- [7]. Herrera et al [8] and Martínez et al [9] survey that three main types of linguistic MCDM methods have been put forward: 1) The method on the basis of membership functions, which could convert the linguistic concept into some fuzzy numbers by membership functions [10]- [12].…”

Section: Introductionmentioning

confidence: 99%

Linguistic Multi-Criteria Group Decision-Making Method Combining Cloud Model and Evidence Theory

Zhou

Han

Sun

et al. 2019

IEICE Trans. Inf. & Syst.

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The linguistic Multi-Criteria Group Decision-Making (MCGDM) problem involves various types of uncertainties. To deal with this problem, a new linguistic MCGDM method combining cloud model and evidence theory is thus proposed. Cloud model is firstly used to handle the fuzziness and randomness of the linguistic concept, by taking both the average level and fluctuation degree of the linguistic concept into consideration. Hence, a method is presented to transform linguistic variables into clouds, and then an asymmetrical weighted synthetic cloud is proposed to aggregate the clouds of decision makers on each criterion. Moreover, evidence theory is used to handle the imprecision and incompleteness of the group assessment, with the belief degree and the ignorance degree. Hence, the conversion from the cloud to the belief degree is investigated, and then the evidential reasoning algorithm is adopted to aggregate the criteria values. Finally, the average utility is applied to rank the alternatives. A numerical example, which is given to confirm the validity and feasibility, also shows that the proposed method can take advantage of cloud model and evidence theory to efficiently deal with the uncertainties caused by both the linguistic concept and group assessment.

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Hesitant Fuzzy Linguistic Maclaurin Symmetric Mean Operators and their Applications to Multi-Criteria Decision-Making Problem

Cited by 52 publications

References 50 publications

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

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

Some q‐rung interval‐valued orthopair fuzzy Maclaurin symmetric mean operators and their applications to multiple attribute group decision making

Linguistic Multi-Criteria Group Decision-Making Method Combining Cloud Model and Evidence Theory

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