Analytical Properties of Credibilistic Expectation Functions
Joint Authors
Wang, Shuming
Wang, Bo
Watada, Junzo
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The expectation function of fuzzy variable is an important and widely used criterion in fuzzy optimization, and sound properties on the expectation function may help in model analysis and solution algorithm design for the fuzzy optimization problems.
The present paper deals with some analytical properties of credibilistic expectation functions of fuzzy variables that lie in three aspects.
First, some continuity theorems on the continuity and semicontinuity conditions are proved for the expectation functions.
Second, a differentiation formula of the expectation function is derived which tells that, under certain conditions, the derivative of the fuzzy expectation function with respect to the parameter equals the expectation of the derivative of the fuzzy function with respect to the parameter.
Finally, a law of large numbers for fuzzy variable sequences is obtained leveraging on the Chebyshev Inequality of fuzzy variables.
Some examples are provided to verify the results obtained.
American Psychological Association (APA)
Wang, Shuming& Wang, Bo& Watada, Junzo. 2014. Analytical Properties of Credibilistic Expectation Functions. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049112
Modern Language Association (MLA)
Wang, Shuming…[et al.]. Analytical Properties of Credibilistic Expectation Functions. The Scientific World Journal No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1049112
American Medical Association (AMA)
Wang, Shuming& Wang, Bo& Watada, Junzo. Analytical Properties of Credibilistic Expectation Functions. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049112
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049112