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On laws of large numbers for L-R fuzzy variables

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2 Author(s)
Shu-Ming Wang ; Grad. Sch. of Inf., Production & Syst., Waseda Univ., Kitakyushu ; Watada, J.

In this study, we discuss the laws of large numbers for T-independent L-R fuzzy variables based on continuous Archimedean t-norm and expected value of fuzzy variable. First, by using continuous Archimedean t-norm, we derive several convergent properties of sum of L-R fuzzy variables in credibility measure and in expected value, respectively. Then, on the basis of the obtained convergent properties, we establish some laws of large numbers for T-independent L-R fuzzy variables.

Published in:

Machine Learning and Cybernetics, 2008 International Conference on  (Volume:7 )

Date of Conference:

12-15 July 2008