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 examine some properties of the restricted intersection, the
restricted 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 ring
to be RP-T-fuzzy soft subring of this soft ring is determined. A correlation
between the RP-T-fuzzy soft subring of a soft ring and α-level sets of this soft
ring 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 soft
subrings under fuzzy soft homomorphisms is examined. Finally, we present the
concept of RP-T-fuzzy soft ideal and we investigate the analogue properties
for them.
Keywords
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