Affiliation:
1. School of Management, Guangdong University of Technology, Guangzhou 510520, P. R. China
2. Department of Mathematics, South China Agricultural University, Guangzhou 510640, P. R. China
Abstract
The intuitionistic fuzzy set (A-IFS) was introduced by Atanassov to generalize the concept of Zadeh’s fuzzy set. The basic elements of an A-IFS are the intuitionistic fuzzy numbers (IFNs). In this paper, we deal with the intuitionistic fuzzy set with the help of Einstein operations. First we introduce some operations of A-IFS, such as the Einstein sum, Einstein product, Einstein scalar multiplication and Einstein exponentiation, and redefine two new and important operation as Einstein subtraction and Einstein division. Then we investigate the limit, continuity and derivatives of intuitionistic fuzzy functions (IFFs) based on the Einstein operations. Furthermore and what is more, some infinite and definite integrals for the IFFs are discussed importantly, and an aggregation method based on the definite integral was introduced to solve some actual decision making problems, which focus on the original data and obtain better overall evaluations in information aggregation.
Publisher
World Scientific Pub Co Pte Lt
Subject
Artificial Intelligence,Information Systems,Control and Systems Engineering,Software
Cited by
1 articles.
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