Soft Γ-Modules

In this paper, the denitions of soft  Γ-module, soft Γ-module homomorphism and soft Γ-exactness are introduced with the aid of the concept of soft set theory introduced by Molodtsov. In the meantime, some of their properties and structural characteristics are investigated and discussed. Thereafter, several illustrative examples are given

THE CONSTRUCTION OF SOFT SETS FROM FUZZY SUBSETS

Molodtsov introduced the concept of soft sets formed from fuzzy subsets in 1999. The soft set formed from a fuzzy subset is a particular form of a soft set on its parameter set. On a soft set formed from a fuzzy subset, the parameter used is the image of a fuzzy subset which is then mapped to the collection of all subsets of a universal set. This research explains the construction of soft sets formed from fuzzy subsets. We provide the sufficient condition that a soft set formed from a fuzzy subset is a subset of another soft set. Also, give some properties of the soft sets formed from a fuzzy subset related to complement and operations concepts in soft set