Linguistic-induced ordered weighted averaging operator for multiple attribute group decision-making |
| |
Authors: | Sidong Xian Jiahui Chai Hailin Guo |
| |
Affiliation: | Laboratory of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing, China |
| |
Abstract: | To solve the problems of making decision with uncertain and imprecise information, Zadeh proposed the concept of Z-number as an ordered pair, the first component of which is a restriction of variable, and the second one is a measure of reliability of the first component. But the decision-makers’ confidence in decision-making was neglected. In this paper, firstly, we present a new method to evaluate and rank -numbers based on the operations of trapezoidal Type 2 fuzzy numbers and generalized trapezoidal fuzzy numbers. Then, linguistic-induced ordered weighted averaging operator and linguistic combined weighted averaging aggregation operator are developed to solve multiple attribute group decision-making problems. And we analyze the main properties of them by utilizing some operational laws of fuzzy linguistic variables. Finally, a numerical example is provided to illustrate the rationality of the proposed method. |
| |
Keywords: | trapezoidal type 2 fuzzy number ranking Z-number Z linguistic-induced ordered weighted averaging operator multiple attribute group decision-making |
|
|