On Fuzzy Reasoning Using Matrix Representation of Extended Fuzzy Petri Nets

Authors:
B. Fryc;K. Pancerz;J. F. Peters;Z. Suraj
Affiliations:
Chair of Computer Science Foundations, University of Information Technology and Management, Sucharskiego Str. 2, 35-225 Rzeszáw, Poland;Chair of Computer Science Foundations, University of Information Technology and Management, Sucharskiego Str. 2, 35-225 Rzeszáw, Poland;Department of Electrical and Computer Engineering, University of Manitoba, R3T 2N2 Winnipeg, Canada;Institute of Mathematics, Rzeszow University, Rejtana Str. 16A, 35-310 Rzeszáw, Poland
Venue:
Fundamenta Informaticae - Concurrency Specification and Programming (CS&P 2003)
Year:
2003

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Abstract

In 1990 Shyi-Ming Chen et al. presented a new approach to knowledge representation using fuzzy Petri nets (FPN). A fuzzy Petri net model allows a structural representation of knowledge and has a systematic procedure for supporting fuzzy reasoning. In this paper we propose an algebraic (matrix) representation of FPNs. We use this representation in a fuzzy reasoning algorithm which is simple to implement in modern programming languages such as C++, C# or Java. Furthermore, there exists MATLAB - a computer system which makes it possible to solve many computing problems, especially those with matrix and vector formulations. We present also an approach enabling us to carry out a fuzzy reasoning process using the MATLAB environment.