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Probability Estimation in the Framework of Intuitionistic Fuzzy Evidence Theory
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-23
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Intuitionistic fuzzy (IF) evidence theory, as an extension of Dempster-Shafer theory of evidence to the intuitionistic fuzzy environment, is exploited to process imprecise and vague information.
Since its inception, much interest has been concentrated on IF evidence theory.
Many works on the belief functions in IF information systems have appeared.
Although belief functions on the IF sets can deal with uncertainty and vagueness well, it is not convenient for decision making.
This paper addresses the issue of probability estimation in the framework of IF evidence theory with the hope of making rational decision.
Background knowledge about evidence theory, fuzzy set, and IF set is firstly reviewed, followed by introduction of IF evidence theory.
Axiomatic properties of probability distribution are then proposed to assist our interpretation.
Finally, probability estimations based on fuzzy and IF belief functions together with their proofs are presented.
It is verified that the probability estimation method based on IF belief functions is also potentially applicable to classical evidence theory and fuzzy evidence theory.
Moreover, IF belief functions can be combined in a convenient way once they are transformed to interval-valued possibilities.
American Psychological Association (APA)
Song, Yafei& Wang, Xiaodan. 2015. Probability Estimation in the Framework of Intuitionistic Fuzzy Evidence Theory. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073778
Modern Language Association (MLA)
Song, Yafei& Wang, Xiaodan. Probability Estimation in the Framework of Intuitionistic Fuzzy Evidence Theory. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073778
American Medical Association (AMA)
Song, Yafei& Wang, Xiaodan. Probability Estimation in the Framework of Intuitionistic Fuzzy Evidence Theory. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073778
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073778