Abstract
The theory of interval-valued set is to concentrate the single membership functions. The manuscript aims to develop the concept of interval-valued Fuzzy normal subnearrings of a near ring (i-v FNSN). Based on these concepts, we analyzed some properties and results for the development of the theorem. We also initiate the study of homomorphism, union, and some algebraic properties. The concept of intersection is also proved. The results are beneficial to researchers.
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