The
membership function (MF) designs a structure of practical relationship to relational structure numerically where the elements lies between 0 and 1.
The trapezoidal
membership function was considered for the very low and very high variables.
1st layer, fuzzification layer: Each node in this layer is adaptive and outputs of the nodes consist of a membership degree depending on the
membership function used and values of independent variables.
Each trait is described using the
membership function, and a value of zero or one is assigned to it, as expressed in a fuzzy set.
The division created by
membership function is sufficient to set up a full-fledged light transmission coefficient and thickness fuzzy logic model.
The Interval Type 2 fuzzy set has a fuzzy
membership function, the membership grade for each element of this set is a fuzzy set in [0,1], as can be observed in [31-35].
A fuzzy subset A of a universe of discourse U is characterized by a
membership function [[mu].sub.A]: U [right arrow] [0, 1] which associates with each element x of U a number [[mu].sub.A](x) in the interval [0, 1] which represents the grade of membership of x in A.
Development of embedded fuzzy applications [19]: a fuzzy logic control of washing machines uses a triangular
membership function for the control of washing machines based on specification of the degree of dirt on clothes and it also specifies the amount of soap needed to wash the clothes [20].
Here, [x.sub.i] [member of] U, [[mu].sub.A]: U [right arrow] [0, 1] is the
membership function of A, and [[mu].sub.A](x) [member of] [0, 1] is the degree of membership of x in A [1].
The paper was focused on two planner integer models and a solution method for solving the problem using the concept of tolerance
membership function and a set of Pareto optimal solutions.