Regression methods for hesitant fuzzy preference relations

In this paper, we develop two regression methods that transform hesitant fuzzy preference relations (HFPRs) into fuzzy preference relations (FPRs). On the basis of the complete consistency, reduced FPRs with the highest consistency levels can be derived from HFPRs. Compared with a straightforward me...

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Bibliographic Details
Main Authors: Bin Zhu, Zeshui Xu
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2014-01-01
Series:Technological and Economic Development of Economy
Subjects:
Online Access:https://journals.vgtu.lt/index.php/TEDE/article/view/4328
Description
Summary:In this paper, we develop two regression methods that transform hesitant fuzzy preference relations (HFPRs) into fuzzy preference relations (FPRs). On the basis of the complete consistency, reduced FPRs with the highest consistency levels can be derived from HFPRs. Compared with a straightforward method, this regression method is more efficient in the Matlab environment. Based on the weak consistency, another regression method is developed to transform HFPRs into reduced FPRs which satisfy the weak consistency. Two algorithms are proposed for the two regression methods, and some examples are provided to verify the practicality and superiority of the proposed methods.
ISSN:2029-4913
2029-4921