A Novel Intuitionistic Fuzzy Induced Ordered Weighted Euclidean Distance Operator and Its Application for Group Decision Making

Xue, Wenting; Xian, Sidong; Dong, Yafen

doi:10.1002/int.21874

Cited by 15 publications

(11 citation statements)

References 30 publications

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“…Merigó and Casanovas, 2011 [15] Induced Euclidean ordered weighted averaging distance (IEOWAD) Zeng et al, 2013 [16] Uncertain IOWAD (UIOWAD) operator, Fuzzy IOWAD (FIOWAD) Su et al, 2013 [17] Uncertain IEOWAD (UIEOWAD) Zeng et al, 2014 [18] Induced heavy ordered weighted averaging distance (IHOWAD) Li et al, 2014 [19] 2-tuple linguistic IOWAD (2TLIOWAD) operator Xian and Sun, 2014 [20] Fuzzy linguistic IOWAD (FLIOWAD) Su et al, 2015 [21] Uncertain IHOWAD (UIHOWAD) Zeng et al, 2017 [12] Intuitionistic fuzzy IOWA weighted averaging distance (IFIOWAWAD) Xian et al, 2016 [22] Fuzzy linguistic IMOWAD (FLIMOWAD) Xian et al, 2017 [23] Novel intuitionistic fuzzy IEOWAD distance (NIFIEOWAD)…”

Section: Author Year Induced Aggregation Distance Methodologymentioning

confidence: 99%

Intuitionistic Fuzzy Multiple Attribute Decision-Making Model Based on Weighted Induced Distance Measure and Its Application to Investment Selection

Sun

Zeng

2018

Symmetry

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This paper investigates an intuitionistic fuzzy multiple attribute decision-making method based on weighted induced distance and its application to investment selection. Specifically, an intuitionistic fuzzy weighted induced ordered weighted averaging operator is proposed to eliminate the drawbacks of existing methods by extending the functions of the order-induced variables. The main advantage of the proposed operator is its dual roles of the order-inducing variables that can simultaneously induce arguments and moderate associated weights. A further extension of the proposed operator is its adaptation towards measuring intuitionistic fuzzy information more effectively. In addition, a multiple attribute decision-making model based on the proposed distance operators is proposed. Finally, the practicability and validity of the proposed model are illustrated by using a numerical example related to investment selection.

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Section: Author Year Induced Aggregation Distance Methodologymentioning

confidence: 99%

Intuitionistic Fuzzy Multiple Attribute Decision-Making Model Based on Weighted Induced Distance Measure and Its Application to Investment Selection

Sun

Zeng

2018

Symmetry

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“…Zhou et al [37,38] worked on several continuous OWD measures. Some authors also extended the OWD and the OWAD using more complex variables, such as the logarithmic means [39,40], induced aggregation [41][42][43], and weighted average [44][45][46]. More recently, considering the usefulness of the SNS, Sahin and Kucuk [47] proposed the simplified neutrosophic OWD (SNOWD) and studied its performance in the group decision-making problem.…”

Section: Introductionmentioning

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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“…Xian et al developed fuzzy linguistic Euclidean distance measure and fuzzy linguistic Minkowski distance measure, and further presented fuzzy linguistic induced Euclidean OWA distance (FLIEOWAD) operator and fuzzy linguistic induced OWA Minkowski distance (FLIOWAMD) operator. Xue et al developed the novel intuitionistic fuzzy induced ordered weighted Euclidean distance (NIFIOWED) operator based on the generalized intuitionistic fuzzy distance for MAGDM problems.…”

Section: Introductionmentioning

confidence: 99%

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

Xian

Xiao

et al. 2019

Int J Intell Syst

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Preference relations (PRs) as useful and efficient information description tools have been widely applied in practical multiple‐attribute group decision‐making (MAGDM) problems. Due to fuzziness and complexity of problems, the limitations of the experts’ professional knowledge and experience, the provided PRs are usually inconsistent, will lead to unreasonable conclusion. Consequently, we define the concept of trapezoidal Pythagorean fuzzy linguistic PRs (TrPFLPRs), a method for confirm the consistent of PRs and repair inconsistent PFs in this paper. Meanwhile, we propose trapezoidal Pythagorean fuzzy linguistic entropic combined ordered weighted Minkowski distance operator to aggregate the TrPFLPRs information. Finally, a numerical example is given to illustrate the practicality and effectiveness of the proposed operator.

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A Novel Intuitionistic Fuzzy Induced Ordered Weighted Euclidean Distance Operator and Its Application for Group Decision Making

Cited by 15 publications

References 30 publications

Intuitionistic Fuzzy Multiple Attribute Decision-Making Model Based on Weighted Induced Distance Measure and Its Application to Investment Selection

Intuitionistic Fuzzy Multiple Attribute Decision-Making Model Based on Weighted Induced Distance Measure and Its Application to Investment Selection

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

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

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