• GROUP ACTION ON FUZZY LEFT N-SUBGROUP OF A NEAR RING

G. BALASUBRAMANIAN*, P. VANI

Abstract


Zadeh [1965] introduced fuzzy set. Mukherjee and Bhattacharya [1986] studied on a fuzzy groups, and some group theoretic results. Wu [1981] obtained few properties on normal fuzzy subgroup. Das [1981] found some new results on fuzzy group and level subgroups. It is also motivated to find N-fuzzy group in hemi-ring. Mukherjee and Bhattacharya [1984] analyzed on fuzzy normal subgroups and fuzzy cosets, and investigates on properties on normality. Nagarajan and Manermaran [2013] gave few algebraic properties on M-fuzzy factor group, and obtained some its power fuzzy group, homomorphic image and preimage, union and intersection. 


Keywords


Set action on a fuzzy set; group action on fuzzy left N-subgroup in a near-ring.

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