International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 74165, 19 pages
doi:10.1155/IJMMS/2006/74165
Equivalence class in the set of fuzzy numbers and its
application in decision-making problems
Department of Mathematics, Indian Institute of Technology, West Bengal Kharagpur-721302, India
Received 4 November 2005; Revised 20 June 2006; Accepted 22 June 2006
Copyright © 2006 Geetanjali Panda 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
An equivalence relation is defined in the set of fuzzy numbers. In
a particular equivalence class, arithmetic operations of fuzzy
numbers are introduced. A fuzzy matrix with respect to a
particular class and its associated crisp matrices are also
introduced. The concept of equivalence class is applied in fuzzy
decision-making problems and justified through a numerical
example.