A synthesis method of the approximate reasoning engine by means of genetic algorithm-neural net realization of any multiple-valued logic function using GA

• Published in: Proceedings. 1998 28th IEEE International Symposium on Multiple- Valued Logic (Cat. No.98CB36138) pp. 201 - 208
• Main Author: Yamamoto, Y.
• Format: Conference Proceeding
• Language: English; Japanese
• Published: IEEE 27.11.2002
• Subjects: Arithmetic; Cities and towns; Engines; Fuzzy logic; Fuzzy reasoning; Genetic algorithms; Logic functions; Network synthesis; Neural networks; Signal synthesis
• ISBN: 0818683716; 9780818683718
• ISSN: 0195-623X
• DOI: 10.1109/ISMVL.1998.679350

In a series of papers, the author proposed an approximate reasoning method which expresses reasoning rules with one newly-defined infinitely-valued threshold function to use it as a reasoning engine, and discussed the advantages and limitations to the fuzzy reasoning. The subject of this paper is the remained problem: how to express the complicated reasoning rules containing non-linearity, non-unateness, etc. The problem is related to the multi-stage synthesis of multiple-valued threshold functions. A synthesis method using the genetic algorithm is devised here with some promising results of realization of arbitrary multiple-valued logic function by threshold functions.