Title :
On laws of large numbers for L-R fuzzy variables
Author :
Wang, Shu-ming ; Watada, Junzo
Author_Institution :
Grad. Sch. of Inf., Production & Syst., Waseda Univ., Kitakyushu
Abstract :
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.
Keywords :
fuzzy set theory; number theory; possibility theory; T-independent L-R fuzzy variables; continuous Archimedean t-norm; credibility measure; large numbers; possibility theory; Continuous production; Convergence; Cybernetics; Fuzzy sets; Fuzzy systems; Integral equations; Machine learning; Possibility theory; Production systems; Random variables; Credibility measure; Fuzzy variable; Independence; Law of large numbers; Triangular norm;
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
DOI :
10.1109/ICMLC.2008.4621057
