Dual Hesitant Fuzzy Soft Rings

Abstract

In this article, the concept of dual hesitant fuzzy soft sets is applied to the subring and ideal structures of the classical rings. Further, based on level soft sets of the dual hesitant fuzzy soft set, a characterization theorem for the dual hesitant fuzzy soft ring is established. Moreover, a counter-example is provided for a dual hesitant fuzzy soft ring which is not an idealistic dual hesitant fuzzy soft ring. Finally, the homomorphic and bi-soft homomorphic properties of a dual hesitant fuzzy soft ring are discussed.