Advances in Decision Sciences
Volume 2011 (2011), Article ID 479756, 18 pages
http://dx.doi.org/10.1155/2011/479756
Research Article

Possibility Fuzzy Soft Set

Shawkat Alkhazaleh, Abdul Razak Salleh, and Nasruddin Hassan

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia

Received 4 January 2011; Revised 14 May 2011; Accepted 30 May 2011

Academic Editor: C. D. Lai

Copyright © 2011 Shawkat Alkhazaleh et al. 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.

Abstract

We introduce the concept of possibility fuzzy soft set and its operation and study some of its properties. We give applications of this theory in solving a decision-making problem. We also introduce a similarity measure of two possibility fuzzy soft sets and discuss their application in a medical diagnosis problem.