Attitudinal ranking and correlated aggregating methods for multiple attribute group decision making with triangular intuitionistic fuzzy Choquet integral
Abstract
Purpose
The purpose of this paper is to propose novel attitudinal prioritization and correlated aggregating methods for multiple attribute group decision making (MAGDM) with triangular intuitionistic fuzzy Choquet integral.
Design/methodology/approach
Based on the continuous ordered weighted average (COWA) operator, the triangular fuzzy COWA (TF-COWA) operator is defined, and then a novel attitudinal expected score function for triangular intuitionistic fuzzy numbers (TIFNs) is investigated. The novelty of this function is that it allows the prioritization of TIFNs by taking account of the expert’s attitudinal character. When the ranking order of TIFNs is determined, the triangular intuitionistic fuzzy correlated geometric (TIFCG) operator and the induced TIFCG (I-TIFCG) operator are developed.
Findings
Their use is twofold: first, the TIFCG operator is used to aggregate the correlative attribute value; and second, the I-TIFCG operator is designed to aggregate the preferences of experts with some degree of inter-dependent. Then, a TIFCG and I-TIFCG operators-based approach is presented for correlative MAGDM problems. Finally, the propose method is applied to select investment projects.
Originality/value
Based on the TIFCG and I-TIFCG operators, this paper proposes a novel correlated aggregating methods for MAGDM with triangular intuitionistic fuzzy Choquet integral. This method helps to solve the correlated attribute (criteria) relationship. Furthermore, by the attitudinal expected score functions of TIFNs, the propose method can reflect decision maker’s risk attitude in the final decision result.
Keywords
Acknowledgements
The authors are very grateful to Co-Editor Professor David Chapman and the anonymous referees for their valuable comments and suggestions that have helped the authors to improve considerably the quality of this paper. This work was supported by National Natural Science Foundation of China (NSFC) under the Grant (No. 71571166 and No. 71331002), Zhejiang Provincial Natural Science Foundation of China (No. LY15G010003), Zhejiang Provincial Key Research Base of Humanistic and Social Sciences in Hangzhou Dianzi University (No. ZD01-201502), Zhejiang Provincial Qianjiang Talent Foundation of China (No. QJC1402015) and Zhejiang Provincial Social Science Association Foundation of China (No. 2015Z026).
Citation
Liu, Y., Wu, J. and Liang, C. (2015), "Attitudinal ranking and correlated aggregating methods for multiple attribute group decision making with triangular intuitionistic fuzzy Choquet integral", Kybernetes, Vol. 44 No. 10, pp. 1437-1454. https://doi.org/10.1108/K-02-2014-0040
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited