RP-T-Fuzzy Soft Subrings and Ideals of Soft Rings

Abstract

In this paper we introduce a concept which is called RP-T-fuzzysoft subring and examine some properties of the restricted intersection, therestricted union, the ∧-intersection and the product of their families. A con-dition to make the restricted union of RP-T-fuzzy soft subrings of a soft ringto be RP-T-fuzzy soft subring of this soft ring is determined. A correlationbetween the RP-T-fuzzy soft subring of a soft ring and α-level sets of this softring is demonstrated. The RP-T-fuzzy soft subrings under some binary opera-tions are investigated. Moreover, the image and pre-image of RP-T-fuzzy softsubrings under fuzzy soft homomorphisms is examined. Finally, we present theconcept of RP-T-fuzzy soft ideal and we investigate the analogue propertiesfor them.