Journal of Applied Mathematics
Volume 2012 (2012), Article ID 845090, 18 pages
Research Article

Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets

1School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China
2School of Information, Capital University of Economics and Business, Beijing 100070, China

Received 31 July 2012; Revised 16 September 2012; Accepted 19 September 2012

Academic Editor: Chong Lin

Copyright © 2012 Yonghong Shen and Wei Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper mainly focuses on multivariate extension of the extension principle of IFSs. Based on the Cartesian product over IFSs, the multivariate extension principle of IFSs is established. Furthermore, three kinds of representation of this principle are provided. Finally, a general framework of the algebraic operation between IFSs is given by using the multivariate extension principle.