Fuzzy-valued linguistic soft set theory and multi-attribute decision-making application

In this work, we propose the theory of fuzzy linguistic soft set (FLSS) to represent the uncertainty and multi-angle of view when decision makers evaluate an object during decision-making. FLSS integrates fuzzy set theory, linguistic variable and soft set theory. It allows decision makers to utilize...

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Bibliographic Details
Published in:Chaos, solitons and fractals Vol. 89; pp. 2 - 7
Main Authors: Aiwu, Zhao, Hongjun, Guan
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.08.2016
Subjects:
Fuzzy set
Fuzzy-valued linguistic soft set
Generalized weighted aggregation
Linguistic variables
Multiple attribute decision making
Soft set
Multiple attribute decision making
Fuzzy-valued linguistic soft set
Soft set
Generalized weighted aggregation
Fuzzy set
Linguistic variables
ISSN:0960-0779, 1873-2887
Online Access:Get full text
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Summary:In this work, we propose the theory of fuzzy linguistic soft set (FLSS) to represent the uncertainty and multi-angle of view when decision makers evaluate an object during decision-making. FLSS integrates fuzzy set theory, linguistic variable and soft set theory. It allows decision makers to utilize linguistic variables to evaluate an object and utilize fuzzy values to describe the corresponding grade of their support of their decisions. Meanwhile, because of the flexibility of soft set, decision makers can use more than one pair of fuzzy-linguistic evaluations to express their opinions from multiple perspectives directly, if necessary. Therefore, it is more flexible and practical than traditional fuzzy set or 2-dimension uncertainty linguistic variable. We also develop a generalized weighted aggregation operator for FLSSs to solve corresponding decision-making issues. Finally, we give a numerical example to verify the practicality and effectiveness of the proposed method.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2015.09.001