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Z Linguistic‐induced ordered weighted averaging operator for multiple attribute group decision‐making
Author(s) -
Xian Sidong,
Chai Jiahui,
Guo Hailin
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22050
Subject(s) - operator (biology) , group decision making , mathematics , measure (data warehouse) , rank (graph theory) , variable (mathematics) , reliability (semiconductor) , fuzzy logic , belief structure , fuzzy number , fuzzy set , component (thermodynamics) , rationality , algorithm , computer science , artificial intelligence , data mining , statistics , combinatorics , biochemistry , political science , repressor , law , mathematical analysis , chemistry , power (physics) , quantum mechanics , transcription factor , thermodynamics , physics , gene
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 Z ‐numbers based on the operations of trapezoidal Type 2 fuzzy numbers and generalized trapezoidal fuzzy numbers. Then, Z linguistic‐induced ordered weighted averaging operator and Z 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.