(T) FUZZY INTEGRAL OF MULTI-DIMENSIONAL FUNCTION WITH RESPECT TO MULTI-VALUED MEASURE

Document Type : Research Paper

Authors

1 Department of Spatial Informatics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China

2 Department of Mathematics, China University of Mining and Tech- nology, Xuzhou, Jiangsu 221116, P. R. China

Abstract

Introducing more types of integrals will provide more choices to
deal with various types of objectives and components in real problems. Firstly,
in this paper, a (T) fuzzy integral, in which the integrand, the measure and
the integration result are all multi-valued, is presented with the introduction
of T-norm and T-conorm. Then, some classical results of the integral are
obtained based on the properties of T-norm and T-conorm mainly. The pre-
sented integral can act as an aggregation tool which is especially useful in
many information fusing and data mining problems such as classi cation and
programming.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 9, Issue 3 - Serial Number 3
May and June 2012
Pages 111-126

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