Title :
The CONV ergence theorems of the McShane-Stieltjes integral for fuzzy-number-valued functions
Author :
Shao, Ya-bin ; Gong, Zeng-tai
Author_Institution :
Coll. of Math. & Inf. Sci., Northwest Normal Univ., Lanzhou, China
Abstract :
In this paper, we define the McShane-Stieltjes integral for fuzzy-number-valued functions which is an extension of the fuzzy Riemann-stieltjes integral. And we define the uniformly sequence for the fuzzy valued McShane-Stieltjes integrable functions and prove the dominated convergence theorem for the fuzzy valued McShane-Stieltjes integrable functions.
Keywords :
convergence; fuzzy set theory; number theory; McShane-Stieltjes integral; convergence theorems; fuzzy valued McShane-Stieltjes integrable functions; fuzzy-number-valued functions; Abstracts; Fuzzy number; Stieltjes integral; dominated convergence theorem; fuzzy MacShane integral;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2012 International Conference on
Conference_Location :
Xian
Print_ISBN :
978-1-4673-1484-8
DOI :
10.1109/ICMLC.2012.6358918
