Mathematical modeling of a fuzzy decoder

Abstract

Mathematical modeling of a fuzzy decoder

Kudinov N.V., Dolgov V.V.

Incoming article date: 18.11.2018

The approach to construction a computer model of a functional information converter based on element-wise operations with multidimensional tables of numbers is investigated. A numerical decision-making algorithm based on infinite-valued logic was built and verified (in particular, fuzzification, implication, aggregation, defuzzification algorithms). The mathematical, algorithmic and software model of fuzzy decoder of the positional bipolar code in a single-unit one is investigated. The transition from the initial model given in terms of three-valued logic to a similar system having an infinite logical basis is shown. The numerical algorithm has been tested and debugged in the GNU Octave mathematical computation package environment with minimal use of functions from the fuzzy-logic toolkit.

Keywords: decoder, single-unit code, functional converter, infinite-valued logic, t-norm, fuzzification, defizzification, implication, aggregation, three-valued logic, bipolar code