Atanassov's Interval-Valued Intuitionistic Linguistic Multicriteria Group Decision-Making Method Based on the Trapezium Cloud Model

• Published in: IEEE transactions on fuzzy systems Vol. 23; no. 3; pp. 542 - 554
• Main Authors: Wang, Jian-Qiang, Wang, Pei, Wang, Jing, Zhang, Hong-Yu, Chen, Xiao-Hong
• Format: Journal Article
• Language: English
• Published: IEEE 01.06.2015
• Subjects: Computational modeling; Decision making; Entropy; Fuzzy sets; Numerical models; Pragmatics; Uncertainty; group decision making; Atanassov's interval-valued intuitionistic linguistic number (AIVILN); possibility degree; Aggregation operator; trapezium cloud
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2014.2317500

The cloud model, which can implement uncertain transformation between a qualitative concept and its quantitative instantiations, has attracted great attention in multicriteria decision-making problems with linguistic information. This paper proposes some operations and a possibility degree of trapezium clouds, as well as several new aggregation operators: the trapezium cloud weighted arithmetic averaging operator, the trapezium cloud ordered weighted arithmetic averaging operator, and the trapezium cloud hybrid arithmetic operator. Moreover, a method with Atanassov's interval-valued intuitionistic linguistic numbers (AIVILNs) based on trapezium clouds is presented, which can provide solutions to multicriteria group decision-making problems with Atanassov's interval-valued intuitionistic linguistic information. In this method, AIVILNs are first converted into trapezium clouds and aggregated by trapezium cloud aggregation operators. Then, the ranking of alternatives is determined by the possibility degree matrix of trapezium clouds. Finally, an illustrative example confirming the validity and feasibility of the proposed method is given.