L-fuzzy soft rings and modules

The aim of the present thesis is to investigate the structures of L-fuzzy soft ring and L-fuzzy soft module, the basic features of them and the relationship between the results obtained from this structures.This study consists of two main chapters. In Chapter 1, some definitions and theorems which are crucial for our study are stated. Chapter 2 contains three parts. In the first part, some new binary relations on L-fuzzy soft sets are defined and features associated with them are obtained. In the second part, the notion of L-fuzzy soft ring is given and algebraic properties belonging to these are examined, and its relationship with subrings and L-fuzzy subrings is investigated. In the last part, the notion of L-fuzzy soft module is given and algebraic properties belonging to these are examined. Also, its relationship with submodules and L-fuzzy submodules is investigated.Key Words: Soft set, Soft ring, Soft module, L-fuzzy soft set, L-fuzzy soft ring, L-fuzzy soft module