# Complement of an Extended Fuzzy Set

@article{Tridiv2011ComplementOA, title={Complement of an Extended Fuzzy Set}, author={Jyoti Neog Tridiv and Kumar Sut Dusmanta}, journal={International Journal of Computer Applications}, year={2011}, volume={29}, pages={39-45} }

It has been accepted that for a fuzzy set A and its complement c A , neither c A A∩ is the null set, nor c A A∪ is the universal set. Whereas the operations of union and intersection of two crisp sets are indeed special cases of the corresponding operations of two fuzzy sets, they end up with peculiar results while defining c A A∩ and c A A∪ . In this regard, H. K. Baruah proposed that in the current definition of the complement of a fuzzy set, fuzzy membership function and fuzzy membership…

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