Analytical properties of credibilistic expectation functions

Shuming Wang1, Bo Wang2, Junzo Watada2

  • 1Department of Industrial & Systems Engineering, National University of Singapore, Block E1A No. 05-19, 1 Engineering Drive 2, Singapore 117576.

Summary

This study explores the analytical properties of credibilistic expectation functions for fuzzy variables. We prove continuity theorems, derive a differentiation formula, and establish a law of large numbers for fuzzy variables.

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