Soft Neutrosophic Algebraic Structures and Their Generalization
This work is incremental, as it applies existing soft set and neutrosophic theories to algebraic structures without introducing new paradigms.
The authors tackled the problem of extending algebraic structures to handle uncertainty by developing soft neutrosophic algebraic structures, such as groups and semigroups, based on soft set theory and neutrosophic algebra.
Study of soft sets was first proposed by Molodtsov in 1999 to deal with uncertainty in a non-parametric manner. The researchers did not pay attention to soft set theory at that time but now the soft set theory has been developed in many areas of mathematics. Algebraic structures using soft set theory are very rapidly developed. In this book we developed soft neutrosophic algebraic structures by using soft sets and neutrosophic algebraic structures. In this book we study soft neutrosophic groups, soft neutrosophic semigroups, soft neutrosophic loops, soft neutrosophic LA-semigroups, and their generalizations respectively.