WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Fuzzy Measures of a System’s Effectiveness - An Application to Problem Solving
Author:
Abstract: They appear often situations in a system’s operation characterized by a degree of vagueness and/or uncertainty. In the present paper we use principles of fuzzy logic to develop a general model representing such kind of situations. We also present 3 alternative methods for measuring a fuzzy system’s effectiveness. These methods include the measurement of the system’s total possibilistic uncertainty, the Shannon’s entropy properly modified for use in a fuzzy environment and the “centroid” method in which the coordinates of the center of mass of the graph of the membership function involved provide an alternative measure of the system’s performance An application of the above results is also developed concerning the Problem Solving process and two classroom experiments are presented illustrating the use of our results in practice.