Article | REF: R7032 V1

Introduction to fuzzy logic

Author: Arnold KAUFMANN

Publication date: October 10, 1992

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2. Fuzzy logic

Let's start with a convenient representation. What was introduced in (7) and (8) is called, in classical set theory, a characteristic function. Now, let's suppose that v (x ), instead of taking the value 0 or 1, can take any value in the interval [0,1]. Thus, an element x could belong to the frame of reference with a value between 0 and 1 too. A subset whose elements have this property is called a fuzzy subset.

Thus :

x Î E ⇒ v (x ) = a , a Î [0,1]

A fuzzy subset will then be denoted

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