A Comparative Study of Classical Relation and Fuzzy Relation

Abdul Alim

Abstract


Fuzzy relation is an extension of classical relation as fuzzy set is an extension of classical set. This work represents an overview of classical relation and fuzzy relation. Some definitions related to fuzzy relation are discussed and also explained by giving example. Max-min operation and max-product operation are discussed for both classical relations and fuzzy relations. Max-avg operation is also discussed for fuzzy relations. Finally, fuzzy equivalence relation is discussed.


Keywords


Characteristic function; Membership grade; Max-min operation; Max-product operation; Max-avg operation.

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