Multiattribute decision making based on the binary connection number in set pair analysis under an interval-valued intuitionistic fuzzy set environment

A new multiattribute decision-making (MADM) methodology based on set pair analysis (SPA) for an interval-valued intuitionistic fuzzy set environment is developed in this paper. The connection number, which is known as a major component of SPA, provides a quantitative analysis to integrate the certai...

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Vydané v:	Soft computing (Berlin, Germany) Ročník 24; číslo 10; s. 7801 - 7809
Hlavní autori:	Shen, Qing, Huang, Xu, Liu, Yong, Jiang, Yunliang, Zhao, Keqin
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2020 Springer Nature B.V
Predmet:	Algorithms Artificial Intelligence Computational Intelligence Control Decision analysis Decision making Decision theory Engineering Entropy Fuzzy sets Linear programming Mathematical Logic and Foundations Mechatronics Methodologies and Application Real numbers Robotics Multiattribute decision making Set pair analysis Interval-valued intuitionistic fuzzy sets Binary connection numbers
ISSN:	1432-7643, 1433-7479
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Abstract	A new multiattribute decision-making (MADM) methodology based on set pair analysis (SPA) for an interval-valued intuitionistic fuzzy set environment is developed in this paper. The connection number, which is known as a major component of SPA, provides a quantitative analysis to integrate the certainty and uncertainty as a combined system. First, we briefly review the concepts of interval-valued intuitionistic fuzzy sets (IVIFS) and the binary connection number (BCN). Then, the transformation method of interval-valued intuitionistic fuzzy numbers into BCNs is studied. Finally, we present a new MADM method where interval-valued intuitionistic fuzzy values are used to express evaluating values of alternatives on attributes, and weights are represented with real numbers or IVIFS. Some typical examples are presented to illustrate the feasibility and validity of the proposed approach.
AbstractList	A new multiattribute decision-making (MADM) methodology based on set pair analysis (SPA) for an interval-valued intuitionistic fuzzy set environment is developed in this paper. The connection number, which is known as a major component of SPA, provides a quantitative analysis to integrate the certainty and uncertainty as a combined system. First, we briefly review the concepts of interval-valued intuitionistic fuzzy sets (IVIFS) and the binary connection number (BCN). Then, the transformation method of interval-valued intuitionistic fuzzy numbers into BCNs is studied. Finally, we present a new MADM method where interval-valued intuitionistic fuzzy values are used to express evaluating values of alternatives on attributes, and weights are represented with real numbers or IVIFS. Some typical examples are presented to illustrate the feasibility and validity of the proposed approach.
Author	Jiang, Yunliang Huang, Xu Shen, Qing Liu, Yong Zhao, Keqin
Author_xml	– sequence: 1 givenname: Qing surname: Shen fullname: Shen, Qing organization: School of Information Engineering, Huzhou University – sequence: 2 givenname: Xu surname: Huang fullname: Huang, Xu organization: School of Information Engineering, Huzhou University – sequence: 3 givenname: Yong surname: Liu fullname: Liu, Yong organization: Institute of Cyber-Systems and Control, Zhejiang University – sequence: 4 givenname: Yunliang orcidid: 0000-0003-4500-5836 surname: Jiang fullname: Jiang, Yunliang email: jyl@zjhu.edu.cn organization: School of Information Engineering, Huzhou University – sequence: 5 givenname: Keqin surname: Zhao fullname: Zhao, Keqin organization: Institute of Connection mathematics
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SubjectTerms	Algorithms Artificial Intelligence Computational Intelligence Control Decision analysis Decision making Decision theory Engineering Entropy Fuzzy sets Linear programming Mathematical Logic and Foundations Mechatronics Methodologies and Application Real numbers Robotics
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Title	Multiattribute decision making based on the binary connection number in set pair analysis under an interval-valued intuitionistic fuzzy set environment
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