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- Fuzzy logic, one of the representation techniques in artificial intelligence, is a well-known method in soft computing that allows the treatment of strong constraints caused by the inaccuracy of the data obtained from the robot’s sensors.
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May 30, 2021 · Hence, the measurement of the membership of the elements from the universe in the set against a function for detecting the uncertainty and ambiguity. Crisp set defines the value is either 0 or 1. Fuzzy set defines the value between 0 and 1 including both 0 and 1. It is also called a classical set.
Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely false. [1] .
Definition. A fuzzy set is a pair where is a set (often required to be non-empty) and a membership function. The reference set (sometimes denoted by or ) is called universe of discourse, and for each the value is called the grade of membership of in . The function is called the membership function of the fuzzy set .
Fuzzy logic provides a framework for dealing with ambiguity and imprecision in decision-making. Traditional binary logic operates in a world of absolutes — true or false, 0 or 1. In contrast,...
- Harshvardhan Mishra
Oct 18, 2017 · 11 Citations. Abstract. The subject of this chapter is fuzzy sets and the basic issues related to them. The first section discusses concepts of sets: classic and fuzzy, and presents various ways of describing fuzzy sets. The second section is dedicated to t -norms, s -norms, and other terms associated with fuzzy sets.
1. m ( x ) / x +. 2 2. +m ( x ) / n. x. A n. The image of A under f( ) is a fuzzy set B:, i.e., B=f(A) = m ( x ) / + m ( x ) / y + 2. 1 B 2. +m ( x. ) / y n. B. where yi = f(xi), i = 1 to n. If f( ) is a many-to-one mapping, then. 4 m ( y ) =