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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Bibliographic Details
Published in:Soft computing (Berlin, Germany) Vol. 24; no. 10; pp. 7801 - 7809
Main Authors: Shen, Qing, Huang, Xu, Liu, Yong, Jiang, Yunliang, Zhao, Keqin
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2020
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-019-04398-1