Type-2 Fuzzy G-Tolerance Relation and Its Properties

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Mausumi Sen
Dhiman Dutta
Ashok Deshpande


In this short communication we generalize the definition of type-2 fuzzy tolerance relation and consequently the type-2 fuzzy G-tolerance relation in type-2 fuzzy sets. The type-2 fuzzy G-tolerance relation helps in finding the type-2 fuzzy G-equivalence relation. Moreover, we have studied the notion of type-2 fuzzy tolerance relation in abstract algebra.

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