A Novel Distance between Vague Sets and Its Applications in Decision Making
Joint Authors
Hu, Feng
Liu, Jin
Xu, Changlin
Deng, Weibin
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A novel distance between vague sets (VSs) is presented after the inadequacies of existing distance measures between vague sets are analyzed by artificial vague sets.
The proposed method investigates the assignment of degree of hesitation to the membership and nonmembership degree, and the properties are also discussed.
The performances of the new method are illustrated by pattern classification problem.
Finally, the proposed method is applied into multicriteria fuzzy decision making, where the linear programming method is taken to generate optimal weights for every criterion and the best alternative is obtained by the weighted sum of distance measures between each alternative and the idea alternative with respect to a set of criteria.
The experimental results show the effectiveness of the proposed method.
American Psychological Association (APA)
Deng, Weibin& Xu, Changlin& Liu, Jin& Hu, Feng. 2014. A Novel Distance between Vague Sets and Its Applications in Decision Making. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-459973
Modern Language Association (MLA)
Deng, Weibin…[et al.]. A Novel Distance between Vague Sets and Its Applications in Decision Making. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-459973
American Medical Association (AMA)
Deng, Weibin& Xu, Changlin& Liu, Jin& Hu, Feng. A Novel Distance between Vague Sets and Its Applications in Decision Making. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-459973
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459973