Volume 66 | Issue 5 | Year 2020 | Article Id. IJMTT-V66I5P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I5P511
In this paper we introduce the concept of fuzzy group and their some related properties are investigated and we also define the algebraic structure of fuzzy group and their types. The purpose of this study is to implement of fuzzy set theory and group theory in fuzzy group.
[1] P. S. DAS, Fuzzy groups and level subgroups, J. Math. Anal. Appl. 84 (1981), 264-269.
[2] D. DUBOIS AND H. PRADE, ―Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980.
[3] C. NEGOITA,L . A. ZADEH,A ND H. J. ZIMMERMAN(E ds.), Fuzzy Sets and Systems (1977 ff).
[4] A. ROSENFELD Fuzzy croups, J. Math. Anal. Appl. 35 (1971) 512-517.
[5] ROSENFELD How many are a few? Fuzzy sets, fuzzy numbers and fuzzy mathematics, Math. Inteliigencer 4 (1982), 139-143
[6] M. Asaad, Groups and fuzzy subgroups, Fuzzy Sets and Systems 39 (1991) 323-328.
[7] S. Abdullah, M. Aslam and T. Ahmed Khan, A new generalization of fuzzy subgroup and level subsets, Ann. Fuzzy Math. Inform. 9 (6) (2015) 991-1018.
[8] R. Biswas, Fuzzy subgroups and anti-fuzzy subgroups, Fuzzy Sets and Systems 35 (1990) 121-124.
[9] W. B. VasanthaKandasamy and D. Meiyappan, Pseudo fuzzy cosets of fuzzy subsets, fuzzy subgroups and their generalizations, Vikram Mathematical J. 17 (1997) 33{44.
[10] L. A. Zadeh , Fuzzy Sets, Information and Control 8 (1965) 338-353.
[11] Rosenfeld A (1971) Fuzzy groups. J. Math. Anal. Appl. 35: 512-517.
[12] Wu W (1981) Normal fuzzy subgroups. Fuzzy Math. 1: 21-30.
Mukesh Kumar Choudhary ,Dr. S. Biswas, "Fuzzy Group And Their Types," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 5, pp. 82-84, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I5P511