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Convergence Theorems for Fuzzy Superpramarts
Authors:FEI Wei-yin  WU Rang-quan  SHAO Shi-huang
Affiliation:1. Department of Applied Mathematics, Anhui University of Technology and Science, Wuhu 241000, China
2. Department of Applied Mathematics, Donghua University, Shanghai 200051, China
3. College of Information Science and Technology, Donghua University, Shanghai 200051,China
Abstract:The notions of fuzzy (super) pramart are introduced. Then the completeness and separability of metric space are discussed. A necessary and sufficient condition of convergence for fuzzy sequences is provided.Finally, the graph Kuratowski-Mosco convergence and D-convergence of fuzzy (super) pramart and quasi-martingale are studied.
Keywords:Fuzzy random variable  Fuzzy (super) pramart  Graph Kuratowski-Mosco convergence  Convergence in the metric D  Weak compactness
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