Pythagorean fuzzy multi-criteria decision-making approach based on Spearman rank correlation coefficient

Due to the complexity of objective world, as well as the ambiguity of human thinking, the practical decision-making issues become more and more difficult. Pythagorean fuzzy set is an effective tool for depicting uncertainty of the multi-criteria decision-making problems. This study aims to develop a...

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Published in:Soft computing (Berlin, Germany) Vol. 26; no. 6; pp. 3001 - 3012
Main Authors: Li, Huimin, Cao, Yongchao, Su, Limin
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2022
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ISSN:1432-7643, 1433-7479
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Abstract Due to the complexity of objective world, as well as the ambiguity of human thinking, the practical decision-making issues become more and more difficult. Pythagorean fuzzy set is an effective tool for depicting uncertainty of the multi-criteria decision-making problems. This study aims to develop a Pythagorean fuzzy multi-criteria decision-making approach to deal with decision-making problem under uncertainty circumstance. Firstly, the concept, representation and related properties of Spearman rank correlation coefficient (SRCC) originated from statistical theory between two PFSs are introduced, which is used to measure the closeness degree between ideal alternative and each alternative. Then, a multi-criteria decision-making approach with Pythagorean fuzzy environment is developed based on the proposed SRCC. Finally, to illustrate the applicability and effectiveness of the proposed method, a real-world infrastructure project decision-making was demonstrated. The result shows that the main advantage of the proposed decision rule would reduce the complexity of the decision-making problem both in theory and practice.
AbstractList Due to the complexity of objective world, as well as the ambiguity of human thinking, the practical decision-making issues become more and more difficult. Pythagorean fuzzy set is an effective tool for depicting uncertainty of the multi-criteria decision-making problems. This study aims to develop a Pythagorean fuzzy multi-criteria decision-making approach to deal with decision-making problem under uncertainty circumstance. Firstly, the concept, representation and related properties of Spearman rank correlation coefficient (SRCC) originated from statistical theory between two PFSs are introduced, which is used to measure the closeness degree between ideal alternative and each alternative. Then, a multi-criteria decision-making approach with Pythagorean fuzzy environment is developed based on the proposed SRCC. Finally, to illustrate the applicability and effectiveness of the proposed method, a real-world infrastructure project decision-making was demonstrated. The result shows that the main advantage of the proposed decision rule would reduce the complexity of the decision-making problem both in theory and practice.
Author Su, Limin
Li, Huimin
Cao, Yongchao
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  fullname: Li, Huimin
  organization: Department of Construction Engineering and Management, North China University of Water Resources and Electric Power, School of Architecture and Built Environment, Centre for Asian and Middle Eastern Architecture, University of Adelaide
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  givenname: Yongchao
  surname: Cao
  fullname: Cao, Yongchao
  organization: School of Management and Economics, North China University of Water Resources and Electric Power, Henan Water Resources Investment and Water and Land Resources Development Co. Ltd
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  givenname: Limin
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  surname: Su
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  email: suliminlove2010@163.com
  organization: School of Mathematics and Statistics, North China University of Water Resources and Electric Power
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Keywords Pythagorean fuzzy set
Spearman rank correlation coefficient
Decision-making approach
Multi-criteria decision-making
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SubjectTerms Artificial Intelligence
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Control
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Mathematical Logic and Foundations
Mechatronics
Robotics
Soft Computing in Decision Making and in Modeling in Economics
Title Pythagorean fuzzy multi-criteria decision-making approach based on Spearman rank correlation coefficient
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