Combs Method Used in an Intuitionistic Fuzzy Logic Application

Authors:
Jon E. Ervin;Sema E. Alptekin
Affiliations:
Apogee Research Group, Los Osos, CA 93402, USA;California Polytechnic State University, San Luis Obispo, CA 93407, USA
Venue:
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
Year:
2007

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Abstract

In this paper, we describe the optimization of membership functions in an Intuitionistic Fuzzy Logic application developed in the Matlab software environment. A unique formulation, known as Combs method, is used to control the problem of `exponential rule expansion' in the rule base. The optimization is performed using a Particle Swarm Optimization (PSO) algorithm to adjust the geometry of trapezoidal membership functions. The technique is tested against the Wisconsin Breast Cancer Database. The use of Combs method shows great promise in significantly expanding the range and complexity of problems that can be addressed using Intuitionistic Fuzzy Logic.