Affiliations: 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
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.
Keywords: algebraic representation, fuzzy Petri nets, fuzzy reasoning, knowledge representation
