Title :
The Approximation Scheme in Equilibrium Theory
Author :
Liu, Yan-Kui ; Wang, Man
Author_Institution :
Coll. of Math. & Comput. Sci., Hebei Univ., Baoding
Abstract :
The purpose of this paper is to deal with the modes of convergence in equilibrium theory for fuzzy random variables as well as their applications in approximation scheme. First, the criteria for convergence almost sure, convergence almost uniform, and convergence in equilibrium chance are characterized by equilibrium chance. Then, the relations among various types of convergence are established. Finally, the modes of convergence are applied to approximation method of fuzzy random optimization problems with equilibrium chance constraints, and the convergence of approximation method is also considered
Keywords :
approximation theory; convergence of numerical methods; fuzzy set theory; mathematical programming; possibility theory; probability; random processes; approximation scheme; convergence almost sure criteria; convergence almost uniform criteria; equilibrium chance convergence criteria; equilibrium theory; fuzzy random optimization problems; fuzzy random programming; fuzzy random variables; possibility theory; probability theory; Application software; Approximation methods; Chromium; Computer science; Constraint optimization; Convergence; Cybernetics; Educational institutions; Machine learning; Mathematics; Possibility theory; Random variables; Fuzzy random variable; approximation scheme; equilibrium theory; fuzzy random programming; mode of convergence;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.259059
