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A New Method for Defuzzification and Ranking of Fuzzy Numbers Based on the Statistical Beta Distribution
Joint Authors
Rahmani, A.
Rostamy-Malkhalifeh, M.
Hosseinzadeh Lotfi, Farhad
Allahviranloo, Tofigh
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Granular computing is an emerging computing theory and paradigm that deals with the processing of information granules, which are defined as a number of information entities grouped together due to their similarity, physical adjacency, or indistinguishability.
In most aspects of human reasoning, these granules have an uncertain formation, so the concept of granularity of fuzzy information could be of special interest for the applications where fuzzy sets must be converted to crisp sets to avoid uncertainty.
This paper proposes a novel method of defuzzification based on the mean value of statistical Beta distribution and an algorithm for ranking fuzzy numbers based on the crisp number ranking system on R.
The proposed method is quite easy to use, but the main reason for following this approach is the equality of left spread, right spread, and mode of Beta distribution with their corresponding values in fuzzy numbers within (0,1) interval, in addition to the fact that the resulting method can satisfy all reasonable properties of fuzzy quantity ordering defined by Wang et al.
The algorithm is illustrated through several numerical examples and it is then compared with some of the other methods provided by literature.
American Psychological Association (APA)
Rahmani, A.& Hosseinzadeh Lotfi, Farhad& Rostamy-Malkhalifeh, M.& Allahviranloo, Tofigh. 2016. A New Method for Defuzzification and Ranking of Fuzzy Numbers Based on the Statistical Beta Distribution. Advances in Fuzzy Systems،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095067
Modern Language Association (MLA)
Rahmani, A.…[et al.]. A New Method for Defuzzification and Ranking of Fuzzy Numbers Based on the Statistical Beta Distribution. Advances in Fuzzy Systems No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1095067
American Medical Association (AMA)
Rahmani, A.& Hosseinzadeh Lotfi, Farhad& Rostamy-Malkhalifeh, M.& Allahviranloo, Tofigh. A New Method for Defuzzification and Ranking of Fuzzy Numbers Based on the Statistical Beta Distribution. Advances in Fuzzy Systems. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095067
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095067