Fundamentals of soft category theory

Abstract

The soft category theory offers a way to study soft theories developed so far more generally. The main purpose of this paper is to introduce the basic algebraic operations in soft categories, and for that we introduce some algebraic operations, like intersection and union, in categories. Also, the notion of composition of soft functors is introduced to form category of all soft categories.

Keywords

• Category theory
• soft set
• soft category
• algebraic operations in soft category
• algebraic operations on category
• composition of soft functors