Title :
On the Continuity of Equilibrium Chance Functions
Author :
Hao, Fang-Fang ; Liu, Yan-Kui
Author_Institution :
Coll. of Math. & Comput. Sci., Hebei Univ., Baoding
Abstract :
This paper attempts to discuss some analytical properties of the equilibrium chance functions of fuzzy random variables. Based on the continuity of the credibility functions, we deduce several sufficient conditions for the right continuity, left continuity and continuity of the equilibrium chance functions. The obtained results can be applied to fuzzy random optimization problems as we design algorithms to compute fuzzy random programming with equilibrium chance constraints.
Keywords :
fuzzy set theory; game theory; optimisation; credibility functions; design algorithm; equilibrium chance constraints; equilibrium chance functions; fuzzy random optimization; fuzzy random programming; fuzzy random variables; left continuity; right continuity; sufficient conditions; Algorithm design and analysis; Chromium; Decision making; Educational institutions; Fuzzy sets; Fuzzy systems; Mathematics; Probability distribution; Random variables; Sufficient conditions;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
Conference_Location :
Shandong
Print_ISBN :
978-0-7695-3305-6
DOI :
10.1109/FSKD.2008.115
