Title of article :
Regular and strongly soft Γ - relations on fuzzy soft Γ -hyperrings
Author/Authors :
Ostadhadi Dehkordi, Sohrab Department of mathematics - University of Hormozgan, Hormozgan, Bandar abbas, Iran , Sheikh Hoseini, Behnaz Department of Mathematics - Shahid Beheshti University, Tehran Iran
Abstract :
The concept of fuzzy soft Γ-hyperrings introduced by J. Zhan et al. as a generalization of the soft rings. In this paper, we prove the equivalence relation μ∗ defined by J. Zhan et al. is a strongly soft Γ-regular relation and hyperoperations defined on quotient fuzzy soft Γ-hyperrings are just operations. Also, we define the equivalence relation μ∗I as a generalization the relation μ∗ and consider quotient fuzzy soft Γ-hyperrings and isomorphism theorems by this
regular relation.
Keywords :
strongly soft Gamma- relation , regular soft Gamma-relation , fuzzy soft Gamma-hyperring , Gamma-hyperideal , Gamma-hyperring
Journal title :
Astroparticle Physics
