Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making

Peng, Xindong; Yang, Yong

doi:10.1002/int.21814

Cited by 293 publications

(163 citation statements)

References 44 publications

Supporting

Mentioning

162

Contrasting

Unclassified

Order By: Relevance

“…Yu et al [61] explored the hesitant fuzzy aggregation operator based on the Choquet integral. Peng and Yang [62] investigated the Choquet integral operator under a Pythagorean fuzzy environment. In addition, the Choquet integral has also expanded to other fuzzy sets, such as the 2-tuple linguistic set [63], interval neutrosophic set [64], and hesitant 2-tuple linguistic set [65].…”

Section: Application Of Choquet Integralmentioning

confidence: 99%

Green Supplier Selection Based on Consensus Process and Integrating Prioritized Operator and Choquet Integral

Zhu

2018

Sustainability

View full text Add to dashboard Cite

Green supplier selection, as a core part of green supply chain management, has attracted the attention of various researchers in the past decade. Plenty of green supplier selection methods based on multi-criteria group decision-making have been presented in previous literature. However, these approaches ignore the consensus level between the experts, and they rarely consider the priority level among the experts and the interdependent relationship between criteria. To handle these issues, an integrated framework of green supplier selection under the hesitant fuzzy linguistic (HFL) environment was established. In this framework, the preference information expressed by HFL was transformed into the hesitant 2-tuple linguistic (H2TL). Then, the consensus process was introduced into the green supplier selection process to increase the consensus level between experts. The H2TL prioritized operator and Choquet integral operator were respectively applied to construct the group decision matrix and derive the ranking order of green suppliers. Finally, we used a numerical example to demonstrate the validity and applicability of the presented framework and implemented a comparative analysis to highlight the features of the presented method.

show abstract

Section: Application Of Choquet Integralmentioning

confidence: 99%

Green Supplier Selection Based on Consensus Process and Integrating Prioritized Operator and Choquet Integral

Zhu

2018

Sustainability

View full text Add to dashboard Cite

show abstract

“…To further demonstrate the effectiveness and applicability of the presented approach, we employ the proposed method to solve two practical MCDM problems concerned with the investment decision respecting Internet stocks [11] and investment decision respecting R&D projects [11]. This paper refers to individual decision-making, while these two investment decision problems are group decision-making problems.…”

Section: Implementation Of the Proposed Methodsmentioning

confidence: 99%

Pythagorean Fuzzy Muirhead Mean Operators and Their Application in Multiple-Criteria Group Decision-Making

Zhu

2018

Information

View full text Add to dashboard Cite

Abstract:As a generalization of the intuitionistic fuzzy set (IFS), a Pythagorean fuzzy set has more flexibility than IFS in expressing uncertainty and fuzziness in the process of multiple criteria group decision-making (MCGDM). Meanwhile, the prominent advantage of the Muirhead mean (MM) operator is that it can reflect the relationships among the various input arguments through changing a parameter vector. Motivated by these primary characters, in this study, we introduced the MM operator into the Pythagorean fuzzy context to expand its applied fields. To do so, we presented the Pythagorean fuzzy MM (PFMM) operators and Pythagorean fuzzy dual MM (PFDMM) operator to fuse the Pythagorean fuzzy information. Then, we investigated their some properties and gave some special cases related to the parameter vector. In addition, based on the developed operators, two MCGDM methods under the Pythagorean fuzzy environment are proposed. An example is given to verify the validity and feasibility of our proposed methods, and a comparative analysis is provided to show their advantages.

show abstract

“…Some papers related to MABAC have been published in recent years, viz. traditional DEMATEL-MABAC [44], pythagorean fuzzy MABAC [45], interval type 2 fuzzy MABAC [46], interval-valued intuitionistic fuzzy MABAC [47], and the fuzzy AHP-MABAC model [48].…”

Section: Introductionmentioning

confidence: 99%

A Hybrid MCDM Technique for Risk Management in Construction Projects

et al. 2018

View full text Add to dashboard Cite

Multi-stakeholder based construction projects are subject to potential risk factors due to dynamic business environment and stakeholders' lack of knowledge. When solving project management tasks, it is necessary to quantify the main risk indicators of the projects. Managing these requires suitable risk mitigation strategies to evaluate and analyse their severity. The existence of information asymmetry also causes difficulties with achieving Pareto efficiency. Hence, to ensure balanced satisfaction of all participants, risk evaluation of these projects can be considered as an important part of the multi-criteria decision-making (MCDM) process. In real-life problems, evaluation of project risks is often uncertain and even incomplete, and the prevailing methodologies fail to handle such situations. To address the problem, this paper extends the analytical network process (ANP) methodology in the D numbers domain to handle three types of ambiguous information's, viz. complete, uncertain, and incomplete, and assesses the weight of risk criteria. The D numbers based approach overcomes the deficiencies of the exclusiveness hypothesis and completeness constraint of Dempster-Shafer (D-S) theory. Here, preference ratings of the decision matrix for each decision-maker are determined using a D numbers extended consistent fuzzy preference relation (D-CFPR). An extended multi-attributive border approximation area comparison (MABAC) method in D numbers is then developed to rank and select the best alternative risk response strategy. Finally, an illustrative example from construction sector is presented to check the feasibility of the proposed approach. For checking the reliability of alternative ranking, a comparative analysis is performed with different MCDM approaches in D numbers domain. Based on different criteria weights, a sensitivity analysis of obtained ranking of the hybrid D-ANP-MABAC model is performed to verify the robustness of the proposed method.

show abstract

Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making

Cited by 293 publications

References 44 publications

Green Supplier Selection Based on Consensus Process and Integrating Prioritized Operator and Choquet Integral

Green Supplier Selection Based on Consensus Process and Integrating Prioritized Operator and Choquet Integral

Pythagorean Fuzzy Muirhead Mean Operators and Their Application in Multiple-Criteria Group Decision-Making

A Hybrid MCDM Technique for Risk Management in Construction Projects

Contact Info

Product

Resources

About