An Interval Type-2 Fuzzy Number Based Approach for Multi-Criteria Group Decision-Making Problems

Author:

Wang Jian-Qiang1,Yu Su-Min1,Wang Jing2,Chen Qing-Hui1,Zhang Hong-Yu1,Chen Xiao-Hong1

Affiliation:

1. Business School, Central South University, Lushan South Road, Changsha 410083, China

2. International College, Central South University of Forestry and Technology, Shaoshan South Road, Changsha 410004, China

Abstract

In this paper, a new approach is presented for solving multi-criteria group decision-making (MCGDM) problems, which is based on new arithmetic operations and the ranking rules of trapezoidal interval type-2 fuzzy numbers (IT2FNs). Firstly, the shortcomings of some existing arithmetic operations of trapezoidal IT2FNs are discussed along with their ranking methods, before some new arithmetic operations and ranking rules are proposed. Secondly, some new aggregation operators including the arithmetic averaging aggregation operator, the ordered weighted averaging aggregation operator and the hybrid weighted averaging aggregation operator for trapezoidal IT2FNs are also developed. Thirdly, a new approach for MCGDM problems is developed based on the proposed operators and ranking rules. Finally, an example is provided to illustrate the feasibility and validity of this new approach, and a comparison analysis referring to the same example is also presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

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