Application Examples and Further Research

In this chapter, we summarize and conclude the foundation of Soft logic. We have presented a rigorous theory that is based on five axioms, which now enables us to develop several domains for investigation. We believe that this is just the beginning of a large area of further investigation and a solid basis for new scientific achievements. The chapter opens with an application of Soft logic to the representation of systemic thinking. For this purpose, we developed a linear algebra with Soft numbers. Later we describe how systemic thinking properties can be represented using matrices with Soft numbers. Later in the chapter, we develop the field of Soft analysis using a different approach than in Chap. 9 . We define a distance between two Soft numbers and as a result present definitions of limits of sequences of Soft numbers and limits of Soft functions. We define derivatives of Soft function, and then we show how Pascal’s triangle in combinatorics can be expanded using Soft numbers. We conclude the chapter by summarizing and pointing to additional possible developments using Soft logic.