An Extended VIKOR Method for Multiple Attribute Decision Analysis with Bidimensional Dual Hesitant Fuzzy Information
Joint Authors
Xue, Min
Tang, Xiaoan
Feng, Nanping
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Bidimensional dual hesitant fuzzy (BDHF) set is developed to present preferences of a decision maker or an expert, which is more objective than existing fuzzy sets such as Atanassov’s intuitionistic fuzzy set, hesitant fuzzy set, and dual hesitant fuzzy set.
Then, after investigating some distance measures, we define a new generalized distance measure between two BDHF elements with parameter λ for the sake of overcoming some drawbacks in existing distance measures.
Covering all possible values of parameter λ, a new approach is designed to calculate the generalized distance measure between two BDHF elements.
In order to address complex multiple attribute decision analysis (MADA) problems, an extension of fuzzy VIKOR method in BDHF context is proposed in this paper.
In VIKOR method for MADA problems, weight of each attribute indicates its relative importance.
To obtain weights of attributes objectively, a new entropy measure with BDHF information is developed to create weight of each attribute.
Finally, an evaluation problem of performance of people’s livelihood project in several regions is analyzed by the proposed VIKOR method to demonstrate its applicability and validity.
American Psychological Association (APA)
Xue, Min& Tang, Xiaoan& Feng, Nanping. 2016. An Extended VIKOR Method for Multiple Attribute Decision Analysis with Bidimensional Dual Hesitant Fuzzy Information. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1112172
Modern Language Association (MLA)
Xue, Min…[et al.]. An Extended VIKOR Method for Multiple Attribute Decision Analysis with Bidimensional Dual Hesitant Fuzzy Information. Mathematical Problems in Engineering No. 2016 (2016), pp.1-16.
https://search.emarefa.net/detail/BIM-1112172
American Medical Association (AMA)
Xue, Min& Tang, Xiaoan& Feng, Nanping. An Extended VIKOR Method for Multiple Attribute Decision Analysis with Bidimensional Dual Hesitant Fuzzy Information. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1112172
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112172