Intuitionistic Fuzzy Representations of Intuitionistic Fuzzy Groups

Authors

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

Keywords:

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

Abstract

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

References

T. Abraham and S. Sebastian, “Fuzzification of Cayley's and Lagrange's theoremsâ€, J. Comp. & Math. Sci. Vol. 1(1), 41- 46, (2009).

K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96

R. Biswas, Intuitionistic fuzzy subgroups, Mathematical Forum, X (1989), 37-46

C.W. Curtis and I. Reiner, “Representation theory of finite groups and associative algebrasâ€, INC., 1962.

J.B. Fraleigh, “A first course in Abstract Algebrasâ€, Addison Wesley, 3rd edition, 1999.

J.N. Mordeson and D.S. Malik, “ Fuzzy Commutative Algebraâ€, World Scientific Publishing 1998.

P.K. Sharma “(ï¡, ï¢)-Cut of Intuitionistic fuzzy groups†International Mathematics Forum , Vol. 6, 2011, no. 53, 2605-2614

P.K. Sharma “Homomorphism of Intuitionistic fuzzy groups †International Mathematics Forum , Vol. 6, 2011, no. 64, 3169-3178

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Published

2015-06-18

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Section

Articles

How to Cite

Intuitionistic Fuzzy Representations of Intuitionistic Fuzzy Groups. (2015). Asian Journal of Fuzzy and Applied Mathematics, 3(3). https://ajouronline.com/index.php/AJFAM/article/view/2642

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