A new method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers
Abstract
Purpose
The triangular intuitionistic fuzzy number (TIFN) is very useful for expressing ill-known quantity. The purpose of this paper is to develop a new method for multi-attribute group decision-making (MAGDM) problems, in which the attribute values are the TIFNs, the attribute weights are completely unknown and the weights of decision makers are given by linguistic variables.
Design/methodology/approach
A new method is given to rank TIFNs based on the weighted possibility mean and standard deviation of TIFNs. The weighted Minkowski distance of TIFNs is defined by using the weighted lower and upper possibility means of TIFNs. The weights of experts are determined in terms of the voting model of intuitionistic fuzzy set (IFS). The weights of attributes can be objectively determined through utilizing the information entropy defined by weighted Minkowski distance of TIFNs. Through integrating the attribute weights and expert weights, the collective comprehensive ranking values of alternatives are obtained and used to rank the alternatives.
Findings
The stock selection example and comparison analysis show the validity and applicability of the method proposed in this paper.
Originality/value
The paper presents a new ranking method of TIFNs and defines the weighted Minkowski distance of TIFNs. The weights of experts are determined in terms of the voting model of IFS. The weights of attributes can be objectively determined through utilizing the information entropy. The proposed method can greatly enhance the flexibility and agility of decision-making process.
Keywords
Acknowledgements
This research was supported by the National Natural Science Foundation of China (Nos. 71061006, 61263018 and 11461030), the Humanities Social Science Programming Project of Ministry of Education of China (No. 09YGC630107), the Natural Science Foundation of Jiangxi Province of China (Nos. 20114BAB201012 and 20142BAB201011), “Twelve five” Programming Project of Jiangxi province Social Science (2013) (No. 13GL17), the Science and Technology Project of Jiangxi province educational department of China (Nos. GJJ15265 and GJJ15267) and the Excellent Young Academic Talent Support Program of Jiangxi University of Finance and Economics.
Citation
Dong, J. and Wan, S. (2016), "A new method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers", Kybernetes, Vol. 45 No. 1, pp. 158-180. https://doi.org/10.1108/K-02-2015-0058
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited