The Real Transform: Computing Positive Solutions of Fuzzy Polynomial Systems

Philippe Aubry, Jérémy Marrez, Annick Valibouze

2019

Abstract

This paper presents an efficient method for finding the positive solutions of polynomial systems whose coefficients are symmetrical L-R fuzzy numbers with bounded support and the same bijective spread functions. The positive solutions of a given fuzzy system are deduced from the ones of another polynomial system with real coefficients, called the real transform. This method is based on new results that are universal because they are independent from the spread functions. We propose the real transform T (E) of a fuzzy equation (E), which positive solutions are the same as those of (E). Then we compare our approach with the existing method of the crisp form system.

Paper Citation

in Harvard Style

Aubry P., Marrez J. and Valibouze A. (2019). The Real Transform: Computing Positive Solutions of Fuzzy Polynomial Systems. In Proceedings of the 11th International Joint Conference on Computational Intelligence (IJCCI 2019) - Volume 1: FCTA; ISBN 978-989-758-384-1, SciTePress, pages 351-359. DOI: 10.5220/0008362403510359

in Bibtex Style

@conference{fcta19,
author={Philippe Aubry and Jérémy Marrez and Annick Valibouze},
title={The Real Transform: Computing Positive Solutions of Fuzzy Polynomial Systems},
booktitle={Proceedings of the 11th International Joint Conference on Computational Intelligence (IJCCI 2019) - Volume 1: FCTA},
year={2019},
pages={351-359},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008362403510359},
isbn={978-989-758-384-1},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Joint Conference on Computational Intelligence (IJCCI 2019) - Volume 1: FCTA
TI - The Real Transform: Computing Positive Solutions of Fuzzy Polynomial Systems
SN - 978-989-758-384-1
AU - Aubry P.
AU - Marrez J.
AU - Valibouze A.
PY - 2019
SP - 351
EP - 359
DO - 10.5220/0008362403510359
PB - SciTePress