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International Journal of Mathematics and Mathematical Sciences
Volume 2015, Article ID 314285, 11 pages
Research Article

Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making

1Department of Actuarial Science and Applied Statistics, Faculty of Business & Information Science, UCSI University, Jalan Menara Gading, 56000 Cheras, Kuala Lumpur, Malaysia
2School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor DE, Malaysia

Received 19 December 2014; Revised 5 March 2015; Accepted 12 March 2015

Academic Editor: Ram U. Verma

Copyright © 2015 Ganeshsree Selvachandran and Abdul Razak Salleh. 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.


We propose the theory of possibility intuitionistic fuzzy soft expert theory and define some related concepts pertaining to this notion as well as the basic operations on this concept, namely, the complement, union, intersection, AND, and OR. The basic properties and relevant laws pertaining to this concept such as De Morgan’s laws are proved. Lastly, a generalized algorithm is introduced and applied to the concept of possibility intuitionistic fuzzy soft expert sets in hypothetical decision making problem.