Open Access(Fuzzy) Isomorphism Theorems of Soft Γ-Hyperrings
Author(s) -
Jianming Zhan,
B. Davvaz
Publication year - 2014
Publication title -
analele ştiinţifice ale universităţii "al.i. cuza" din iaşi. matematică
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.144
H-Index - 12
eISSN - 2344-4967
pISSN - 1221-8421
DOI - 10.2478/aicu-2013-0033
Subject(s) - soft set , isomorphism (crystallography) , morphism , mathematics , set (abstract data type) , fuzzy set , fuzzy logic , algebra over a field , pure mathematics , computer science , discrete mathematics , artificial intelligence , programming language , chemistry , crystal structure , crystallography
Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties. In this paper, we apply soft sets to Γ-hyperrings. The concept of soft Γ-hyperrings is first introduced. Then three iso-morphism theorems of soft Γ-hyperrings are established. Finally, we derive three fuzzy isomorphism theorems of soft Γ-hyperrings.