This course is intended as an introduction to fuzzy theory and its applications. In this course, we are going to talk about the definition of fuzzy sets, notations for fuzzy sets, the relations between and operations on fuzzy sets. Then we will talk about posets, lattices, Boolean algebras, and optimal soft algebras. And we will talk about fuzzy operators, generalized unions and generalized intersections. We will talk about cuts, strong cuts, and the scalar multiplication. Finally, we will talk about the resolution principles, the representation theorem, and the extension principles. Those are the main topics in this course.
Learners are expected to have some prior knowledge of sets and relations. Of course, here it refers to crisp sets and crisp relations. There are no derivatives or integrals in this course. Although not essential, some prior knowledge of discrete mathematics is desirable. Nevertheless, anyone who wants to learn the basics about fuzzy mathematics is welcome to join.
