Some New Results on Soft Hypermodules

Jinyan Wang1,2,3, Jianming Zhan4, Wenxiang Gu1,3,4
1College of Computer Science and Information Technology, Northeast Normal University, Changchun, 130117, China.
2College of Computer Science and Information Technology, Guangxi Normal University, Guilin, 541004, China.
3College of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China.
4Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, China.

Abstract

We study the algebraic properties of soft sets in a hypermodule structure. The concepts of soft hypermodules and soft sub-hypermodules are introduced, and some basic properties are investigated. Furthermore, we define homomorphism and isomorphism of soft hypermodules, and derive three isomorphism theorems of soft hypermodules. By using normal fuzzy sub-hypermodules, three fuzzy isomorphism theorems of soft hypermodules are established.