Equivalence class in the set of fuzzy numbers and its application in decision-making problems
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 appli...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/74165 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |