Fuzzy Relations

This chapter extensively introduces the precepts of the theory of fuzzy relations and their properties. It also covers the representation of binary fuzzy relation, operations on binary fuzzy relation, various properties of binary fuzzy relation, projection and extension of binary fuzzy relation, their cylindrical closure, etc. Further, it deals with fuzzy partial ordering, fuzzy homomorphism, strong homomorphism, and suitable examples on every aspect. Here fuzzy morphisms, sup-i-compositions of fuzzy relations, and inf-compositions of fuzzy relations have also been portrayed elegantly.