THE INDEPENDENCE OF FUZZY VARIABLES WITH APPLICATIONS TO FUZZY RANDOM OPTIMIZATION
International Journal of Uncertainty Fuzziness and Knowledge-Based SystemsPublished 1 April 2007
YIAN-KUI LIU, Jinwu Gao
Citations161
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SJR score0.32
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TL;DR
The independence of fuzzy variables is defined based on the concept of marginal possibility distribution function, and the properties of the independent fuzzy variables are applied to a class of fuzzy random programming problems to study their convexity.
Abstract
This paper presents the independence of fuzzy variables as well as its applications in fuzzy random optimization. First, the independence of fuzzy variables is defined based on the concept of marginal possibility distribution function, and a discussion about the relationship between the independent fuzzy variables and the noninteractive (unrelated) fuzzy variables is included. Second, we discuss some properties of the independent fuzzy variables, and establish the necessary and sufficient conditions for the independent fuzzy variables. Third, we propose the independence of fuzzy events, and deal with its fundamental properties. Finally, we apply the properties of the independent fuzzy variables to a class of fuzzy random programming problems to study their convexity.
Keywords
MathematicsDecision SciencesEngineering
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