RP-T-fuzzy soft subrings and ideals of soft rings

Abstract

In this paper we introduce a concept which is called RP-T-fuzzy soft subring and examinesome properties of the restricted intersection, the restricted union, the ∧-intersection and theproduct of their families. A condition to make the restricted union of RP-T-fuzzy soft subringsto be RP-T-fuzzy soft subring is determined. A correlation between the RP-T-fuzzy softsubring of a soft ring and α-level sets of this soft ring is demonstrated. The RP-T-fuzzy softsubrings under some binary operations are investigated. Moreover, the image and pre-imageof RP-T-fuzzy soft subrings under fuzzy soft homomorphisms is examined. Finally, we presentthe concept of RP-T-fuzzy soft ideal and we investigate the analogue properties for them.