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(T) Fuzzy Integral of Multi-dimensional Function
Liu Wanli 1 * #,Zhang Qiuzhao 2
1.Department of Mathematics China University of Mining and Technology
2.School of Environment Science and Spatial Informatics China University of Mining and Technology
*Correspondence author
#Submitted by
Subject:
Funding: none
Opened online:17 April 2010
Accepted by: none
Citation: Liu Wanli,Zhang Qiuzhao.(T) Fuzzy Integral of Multi-dimensional Function[OL]. [17 April 2010] http://en.paper.edu.cn/en_releasepaper/content/42031
 
 
Firstly, based on the T fuzzy measure and (T)fuzzy integral of one-dimensional function, this paper defines multi-dimensional simple function using generalized T-norm and S-norm and obtains a theorem on the representation form of a common multi-dimensional measurable function. Then it intro-duces two operational symbols T and S, presents the definitions of T fuzzy integrals for themulti-dimensional simple function and a commonmulti-dimensional measurable function and discusses some properties which are similartoone-dimensional case.I ndex Terms—multi-dimensional function; simplefunction; T fuzzy integral.
Keywords:multi-dimensional function; simple function; $T$ fuzzy integral
 
 
 

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