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Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews
Author
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-13
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Fuzzy set theory, extensively applied in abundant disciplines, has been recognized as a plausible tool in dealing with uncertain and vague information due to its prowess in mathematically manipulating the knowledge of imprecision.
In fuzzy-data comparisons, exploring the general ranking measure that is capable of consistently differentiating the magnitude of fuzzy numbers has widely captivated academics’ attention.
To date, numerous indices have been established; however, counterintuition, less discrimination, and/or inconsistency on their fuzzy-number rating outcomes have prohibited their comprehensive implementation.
To ameliorate their manifested ranking weaknesses, this paper proposes a unified index that multiplies weighted-mean and weighted-area discriminatory components of a fuzzy number, respectively, called centroid value and attitude-incorporated left-and-right area.
From theoretical proof of consistency property and comparative studies for triangular, triangular-and-trapezoidal mixed, and nonlinear fuzzy numbers, the unified index demonstrates conspicuous ranking gains in terms of intuition support, consistency, reliability, and computational simplicity capability.
More importantly, the unified index possesses the consistency property for ranking fuzzy numbers and their images as well as for symmetric fuzzy numbers with an identical altitude which is a rather critical property for accurate matching and/or retrieval of information in the field of computer vision and image pattern recognition.
American Psychological Association (APA)
Nguyen, Thanh-Lam. 2017. Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews. Complexity،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1142682
Modern Language Association (MLA)
Nguyen, Thanh-Lam. Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews. Complexity No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1142682
American Medical Association (AMA)
Nguyen, Thanh-Lam. Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews. Complexity. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1142682
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142682