Soft Crossed Hypermodules And Soft HG-Hypergroupoids

Abstract

In this article, we introduce the soft subhypergroupoid andsoft action hypergroupoid and study their properties. We consider thecategory of soft hypergroupoids whose objects are soft hypergroupoidsand morphisms are soft hypergroupoid homomorphisms. Also we con-sider the concept of soft crossed hypermodules and the category of softcrossed hypermodules. We show that a soft hg-hypergroupoid, can beobtained from each soft crossed hypermodule and a soft crossed hyper-module, can be obtained from each soft hg-hypergroupoid. In addition,we show that soft hg-hypergroupoids and soft crossed hypermodules,are equivalent categories.