In this paper experiments are described with three linguistic fuzzy models sharing the same monotone rule base and the same membership functions for the two input variables, but applying different membership functions in the output domain. We investigated which inference methods result in a monotonic input-output behaviour. Apart from the conventional Mamdani–Assilian inference method with Cent...

Techniques of information aggregation are mainly being used in decision making or when a system needs a comprehensive representation of its application domain. Recently, aggregation operators have been also applied for defuzzification where the defuzzified value is calculated as an aggregation of all possible solutions according to their attached possibility. In this paper we propose and analyz...

We propose a new parameterized method for the defuzzification process based on the simple M-SLIDE transformation. We develop a computationally efficient algorithm for learning the relevant parameter as well as providing a computationally simple scheme for doing the defuzzification step in the fuzzy logic controllers. The M-SLJDE method results in a particularly simple linear form of the algorit...

A defuzzification function assigns to each fuzzy set a crisp value in a way that this value may intuitively be understood as the “centre” of the fuzzy set. In the present paper, this vague concept is put into a mathematically rigorous form. To this end, we proceed analogously to the case of sharply bordered subsets, for which the Steiner point is frequently used. The function assigning to each ...

This paper conducts a comparison analysis of some of the most common defuzzification techniques which helps rank fuzzy weights calculated from fuzzy comparison matrices through Fuzzy Analytic Hierarchy Process. Ranking of weights calculated through FAHP algorithms is of critical importance as it directly effects the decision making process. More so ranking of fuzzy numbers is also important in ...

Traffic congestion is a major concern for many cities throughout the world. In a general traffic light controller, the traffic lights change at a constant cycle time. Hence it does not provide an optimal solution.Many traffic light controllers in current use are based on the “time-of-the-day” scheme, which use a limited number of predetermined traffic light patterns and implement these patterns...

Article history: Received 27 April 2007 Accepted 17 November 2008 Available online xxxx

The authors apply the Generalized Rectangular Model (GRM) for assessing students’ critical thinking skills. GRM is a variation of the center of gravity (COG) defuzzification technique, which was properly adapted and used by them several times in the past as an assessment method, called here the Rectangular Model (RM). The central idea of the GRM is the “movement” to the left of the rectangles a...

Two methods utilizing Triangular and Trapezoidal Fuzzy Numbers together with the Centre of Gravity (COG) defuzzification technique are developed in this paper as tools for assessing human skills. Examples are also presented concerning student and basket-ball player performance, illustrating the applicability of our methods in practice. The advantages and disadvantages of each method are finally...