International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 12, 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
Geetanjali Panda
, Motilal Panigrahi
and Sudarsan Nanda
Department of Mathematics, Indian Institute of Technology, West Bengal Kharagpur-721302, India
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.