Abstract
In this paper, we made an attempt to study the algebraic nature of fuzzy normal subnearring and its properties.
Highlights
In this paper, we made an attempt to study the algebraic nature of fuzzy normal subnearring and its properties
After the introduction of fuzzy sets by L.A.Zadeh, several researchers explored on the generalization of the concept of fuzzy sets
The notion of Fuzzy subnear rings and ideals was introduced by S.Abou Zaid
Summary
We made an attempt to study the algebraic nature of fuzzy normal subnearring and its properties. We introduce fuzzy normal subnearring of a near ring and prove some properties. A fuzzy subset A of R is said to be a fuzzy subnearring (FSNR) of R if it satisfies the following conditions: (i) μA(x − y) ≥ min{μA(x), μA(y)}, (ii) μA(xy) ≥ min{μA(x), μA(y)}, for all x and y in R.
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