Abstract

The first step towards near-rings was an axiomatic research done by Dickson in 1905. In 1936, it was Zassenhaus who used the name near-ring. Many parts of the well established theory of rings are transferred to near-rings and new specific features of near-rings have been discovered. To deal with the idea of near-rings using ternary product Warud Nakkhasen and Bundit Pibaljommee have applied the concept of ternary semiring to define left ternary near- rings, ternary subnear-rings and their ideals and investigated some properties of L-fuzzy ternary near subrings in 2012. In this paper, we consider right ternary near-rings and their ideals and apply fuzzy soft set technology initiated by Maji et al in 2001 to introduce fuzzy soft right ternary near-rings, fuzzy soft ideals and study their basic algebraic properties.

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