Some new dual hesitant fuzzy aggregation operators based on Choquet integral and their applications to multiple attribute decision making

Ju, Yanbing; Yang, Shanghong; Liu, Xiaoyue

doi:10.3233/ifs-141247

Cited by 51 publications

(10 citation statements)

References 46 publications

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“…In order to deal with the interaction among criteria for MCDM, some aggregation operators using the Choquet integral are proposed. As for the situations where criteria are not independent, Xu [50] put forward several intuitionistic fuzzy aggregation correlated operators and interval-valued intuitionistic fuzzy correlated averaging operators; Yang and Chen [51] proposed several 2-tuple linguistic correlated aggregation operators when the evaluations are linguistic arguments; Ju et al [52] developed some hesitant fuzzy aggregation operators based on Choquet integral for hesitant fuzzy information.…”

Section: Definitionmentioning

confidence: 99%

A Novel Decision-Making Framework for Sustainable Supplier Selection Considering Interaction among Criteria with Heterogeneous Information

2019

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Sustainable supplier selection has become a strategic activity to enhance the competitiveness of sustainable supply chain management. Research on sustainable supplier selection is considering increasingly more practical factors, such as the uncertainty of decision context and the fuzzy recognition of experts. Evaluation values on different criteria with different characteristic should be represented in their suitable information types to reflect the characteristic accurately and represent experts’ judgments entirely. Moreover, it is difficult, or costly, to build a decision criteria set in which all criteria are independent to each other because of the interaction of technical, economic, environmental and social factors. Therefore, the aim of this paper is to propose a novel decision-making framework for sustainable supplier selection which considers the interaction among criteria with heterogeneous decision information. The proposed framework can not only allow the experts to express their judgments completely, but also improve the efficiency of decision-making. First, a normalized dominance decision matrix based on normalized closeness is built with the heterogeneous decision matrix. Then, a defined discrete Choquet integral multi-criteria distance measure is used to compute the comprehensive associated closeness and rank the alternative sustainable suppliers. This framework provides a new way to handle the interaction among criteria for sustainable supplier selection from the perspective of multi-criteria distance measure, and a novel methodology to solve the problems that the evaluation values cannot be aggregated directly. Finally, an example is given to illustrate the proposed framework for sustainable supplier selection with a comparison analysis.

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Section: Definitionmentioning

confidence: 99%

A Novel Decision-Making Framework for Sustainable Supplier Selection Considering Interaction among Criteria with Heterogeneous Information

2019

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“…Only a few studies have focused on the dual hesitant fuzzy operators based on the Choquet integral. Ju et al proposed the dual hesitant fuzzy Choquet ordered average operator and the dual hesitant fuzzy Choquet ordered geometric operator to solve the MCDM problems, with the context whether the attributes are interdependent or not. According to the interacting among criteria of the decision‐making problem, Chen and Li put two kinds of the intuitionistic uncertain linguistic Choquet integral operators based on the intuitionistic uncertain information.…”

Section: Introductionmentioning

confidence: 99%

The interval‐valued hesitant Pythagorean fuzzy set and its applications with extended TOPSIS and Choquet integral‐based method

Wang

Zhang

2019

Int J Intell Syst

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The hesitant Pythagorean fuzzy set is frequently considered as a solution for decision making under uncertainty. Whereas the representation of uncertain information might be not sufficient in the hesitant Pythagorean fuzzy environment, thus the concept of interval‐valued hesitant Pythagorean fuzzy sets (IVHPFSs) is proposed. Specifically, we first propose the concept of IVHPFSs and then study the operational rules and distance measures of IVHPFSs in detail. To ease the possible application, we explore two decision‐making processes in the setting of IVHPFSs by drawing support from the technique for order preference by similarity to ideal solution and Choquet integral‐based method. Finally, the selecting processes of project private partner are also presented to demonstrate the decision‐making processes based on IVHPFSs and compared with some similar techniques.

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“…From the above analysis, we can see that in general, the assumption of independency of criteria is too strong to be satisfied in many MADM and MAGDM problems. Motivated by the Choquet integral, some scholars have extended it to solve the decision‐making problems with different fuzzy environments, such as in intuitionistic fuzzy environment, interval‐valued intuitionistic fuzzy environment, hesitant fuzzy environment, multiset hesitant fuzzy environment, dual hesitant fuzzy environment, interval‐valued intuitionistic hesitant fuzzy environment, and the Pythagorean fuzzy environment . However, all of them fail to the interval‐valued Pythagorean fuzzy environment using the Choquet integral.…”

Section: Introductionmentioning

confidence: 99%

Interval-valued Pythagorean fuzzy GRA method for multiple-attribute decision making with incomplete weight information

Khan

Abdullah

2018

Int. J. Intell. Syst.

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In this paper, the concept of multiple‐attribute group decision‐making (MAGDM) problems with interval‐valued Pythagorean fuzzy information is developed, in which the attribute values are interval‐valued Pythagorean fuzzy numbers and the information about the attribute weight is incomplete. Since the concept of interval‐valued Pythagorean fuzzy sets is the generalization of interval‐valued intuitionistic fuzzy set. Thus, due the this motivation in this paper, the concept of interval‐valued Pythagorean fuzzy Choquet integral average (IVPFCIA) operator is introduced by generalizing the concept of interval‐valued intuitionistic fuzzy Choquet integral average operator. To illustrate the developed operator, a numerical example is also investigated. Extended the concept of traditional GRA method, a new extension of GRA method based on interval‐valued Pythagorean fuzzy information is introduced. First, utilize IVPFCIA operator to aggregate all the interval‐valued Pythagorean fuzzy decision matrices. Then, an optimization model based on the basic ideal of traditional grey relational analysis (GRA) method is established, to get the weight vector of the attributes. Based on the traditional GRA method, calculation steps for solving interval‐valued Pythagorean fuzzy MAGDM problems with incompletely known weight information are given. The degree of grey relation between every alternative and positive‐ideal solution and negative‐ideal solution is calculated. To determine the ranking order of all alternatives, a relative relational degree is defined by calculating the degree of grey relation to both the positive‐ideal solution and negative ideal solution simultaneously. Finally, to illustrate the developed approach a numerical example is to demonstrate its practicality and effectiveness.

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Some new dual hesitant fuzzy aggregation operators based on Choquet integral and their applications to multiple attribute decision making

Cited by 51 publications

References 46 publications

A Novel Decision-Making Framework for Sustainable Supplier Selection Considering Interaction among Criteria with Heterogeneous Information

A Novel Decision-Making Framework for Sustainable Supplier Selection Considering Interaction among Criteria with Heterogeneous Information

The interval‐valued hesitant Pythagorean fuzzy set and its applications with extended TOPSIS and Choquet integral‐based method

Interval-valued Pythagorean fuzzy GRA method for multiple-attribute decision making with incomplete weight information

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