A binary fuzzy relation R is represented by x R y where (x, y) ∈ R(X, Y). In-detail it will be represented by α / xRy where µR(x, y) = α The domain of a fuzzy relation R(X, Y) is the fuzzy set represented by dom …
Fuzzy sets are defined as sets that contain elements having varying degrees of membership values. Given A and B are two fuzzy sets, here are the main properties of those fuzzy sets: Commutativity :- (A ∪ B) = (B ∪ A) (A ∩ B) = (B …
Fuzzy set is a set containing the elements that have varying degree of membership. Fuzzy sets support a flexible sense of membership values of elements of a set. The membership function μA(x) is associated with a fuzzy set A, such that the membership function maps every …
Mapping is an important concept in relating the elements or subsets of one universal set to elements or sets in another universe of discourse. If X and Y are two different universal sets, and if element x is contained in ‘X’ corresponds to an element 1 …