# Fuzzy Logic

## Cartesian Product of Crisp Sets A and B

The Cartesian product of two sets A & B is denoted by A X B and is the set of all ordered pairs such that the first element in the pair belongs to set A and second element belong to […]

## Properties of Fuzzy Sets

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 ∪

## Define Fuzzy Sets

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

## Mapping of Classical Sets to Functions

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

## Random Variable – Its Value and Frequency

Random Variable Definition If S is the sample space of a random experiment and to each si belongs to S there corresponds unique real number X(si), then the real valued function s thus defined is called a random variable defined

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