Intuitionistic Fuzzy Representations of Intuitionistic Fuzzy Groups


  • P. K. Sharma D.A.V.College, Jalandhar , Punjab, India


Intuitionistic fuzzy group, intuitionistic fuzzy homomorphism (isomorphism), intuitionistic fuzzy representation .


In this paper, we study the intuitionistic fuzzy representations of intuitionistic fuzzy groups. A fundamental theorem of intuitionistic fuzzy representations of quotient groups has been derived. It is shown that every intuitionistic fuzzy representation gives rise to an intuitionistic fuzzy representation on the factor group. Moreover, an intuitionistic fuzzy version of the famous Cayley’s theorem has also been derived..

Author Biography

P. K. Sharma, D.A.V.College, Jalandhar , Punjab, India

Asscoaite Professor in Mathematics


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How to Cite

Sharma, P. K. (2015). Intuitionistic Fuzzy Representations of Intuitionistic Fuzzy Groups. Asian Journal of Fuzzy and Applied Mathematics, 3(3). Retrieved from