Equivalence class in the set of fuzzy numbers and its application in decision-making problems

Geetanjali Panda, Motilal Panigrahi, Sudarsan Nanda
2006 International Journal of Mathematics and Mathematical Sciences  
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.
doi:10.1155/ijmms/2006/74165 fatcat:ymyym5la7rhilclbrzg45hbjz4