Trapezoidal Pythagorean fuzzy linguistic entropic combined ordered weighted Minkowski distance operator based on preference relations

Xian, Sidong; Xiao, Yue; Li, Lin; Yu, Dongxu

doi:10.1002/int.22139

Cited by 12 publications

(5 citation statements)

References 59 publications

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“…h, 1/n) ) Remark 4. By applying similar analysis introduced in the recent literature [48][49][50][51][52][53], more other cases of the SNIWD measure can be created, such as the the centered-SNIWD, median-SNIWD, and the Olympic-SNIWD measures.…”

Section: Sn Integrated Weighted Distance (Sniwd) Measurementioning

confidence: 99%

Multiple Attribute Group Decision Making Based on Simplified Neutrosophic Integrated Weighted Distance Measure and Entropy Method

Zhang

Zeng

2020

Mathematical Problems in Engineering

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Simplified neutrosophic set (SNS) is a popular tool in modelling potential, imprecise, and uncertain information within complex environments. In this paper, a method based on the integrated weighted distance measure and entropy weight is proposed for handling SNS multiple attribute group decision-making (MAGDM) problems. To this end, the simplified neutrosophic (SN) integrated weighted distance (SVNIWD) measure is first developed for overcoming the limitations of the existing methods. Afterward, the proposed SNIWD’s several properties and particular status are studied. Moreover, a flexible and useful MAGDM approach that combines the strengths of the SNIWD and the SNS is proposed, wherein the SN entropy measure is applied to calculate the unknown weight information regarding attributes. Finally, a numerical case of investment evaluation and subsequent comparative analysis are conducted to prove the superiority of the proposed framework.

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Section: Sn Integrated Weighted Distance (Sniwd) Measurementioning

confidence: 99%

Multiple Attribute Group Decision Making Based on Simplified Neutrosophic Integrated Weighted Distance Measure and Entropy Method

Zhang

Zeng

2020

Mathematical Problems in Engineering

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“…Xing et al [19] proposed the Pythagorean fuzzy Choquet integral aggregation operators based on Frank 𝑡-norm and 𝑡-conorm. For more recent developments of IFSs and PFSs in the field of MADM, we suggest authors to refer [20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Archives of Control Sciences

Xu,

Wang

2022

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The recently proposed 𝑞-rung dual hesitant fuzzy sets (𝑞-RDHFSs) not only deal with decision makers' (DMs') hesitancy and uncertainty when evaluating the performance of alternatives, but also give them great liberty to express their assessment information comprehensively. This paper aims to propose a new multiple attribute decision-making (MADM) method where DMs' evaluative values are in form of 𝑞-rung dual hesitant fuzzy elements (𝑞-RDHFEs). Firstly, we extend the powerful Schweizer-Sklar 𝑡-norm and 𝑡-conorm (SSTT) to 𝑞-RDHFSs and propose novel operational rules of 𝑞-RDHFEs. The prominent advantage of the proposed operations is that they have important parameters 𝑞 and 𝑟, making the information fusion procedure more flexible. Secondly, to effectively cope with the interrelationship among attributes, we extend the Hamy mean (HM) to 𝑞-RDHFSs and based on the newly developed operations, we propose the 𝑞-rung dual hesitant fuzzy Schweizer-Sklar Hamy mean (𝑞-RDHFSSHM) operator, and the 𝑞-rung dual hesitant fuzzy Schweizer-Sklar weighted Hamy mean (𝑞-RDHFSSWHM) operator. The properties of the proposed operators, such as idempotency, boundedness and monotonicity are discussed in detail. Third, we propose a new MADM method based on the 𝑞-RDHFSSWHM operator and give the main steps of the algorithm. Finally, the effectiveness, flexibility and advantages of the proposed method are discussed through numerical examples.

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“…Some other distance aggregation operators can be seen in Ref. [ 53 – 56 ]. These operators are almost used to deal with MCDM problems.…”

Section: Introductionmentioning

confidence: 99%

Group Decision-Making with Distance Induced Fuzzy Operators

Gong

Jiang

Hou

2021

Int. J. Fuzzy Syst.

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Trapezoidal Pythagorean fuzzy linguistic entropic combined ordered weighted Minkowski distance operator based on preference relations

Cited by 12 publications

References 59 publications

Multiple Attribute Group Decision Making Based on Simplified Neutrosophic Integrated Weighted Distance Measure and Entropy Method

Multiple Attribute Group Decision Making Based on Simplified Neutrosophic Integrated Weighted Distance Measure and Entropy Method

Archives of Control Sciences

Group Decision-Making with Distance Induced Fuzzy Operators

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