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Authors: Philippe Aubry 1 ; Jérémy Marrez 1 and Annick Valibouze 2

Affiliations: 1 Sorbonne Université, CNRS, Laboratoire d’Informatique de Paris 6, LIP6, F-75005 Paris and France ; 2 Sorbonne Université, CNRS, Laboratoire d’Informatique de Paris 6, LIP6, F-75005 Paris, France, Sorbonne Université, CNRS, Laboratoire de Probabilités, Statistique et Modélisation, LPSM, F-75005 Paris and France

Keyword(s): Fuzzy Numbers, Fuzzy Systems, Polynomial Systems, Fuzzy Methods.

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.

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Paper citation in several formats:
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) - FCTA; ISBN 978-989-758-384-1; ISSN 2184-3236, SciTePress, pages 351-359. DOI: 10.5220/0008362403510359

@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) - FCTA},
year={2019},
pages={351-359},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008362403510359},
isbn={978-989-758-384-1},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the 11th International Joint Conference on Computational Intelligence (IJCCI 2019) - FCTA
TI - The Real Transform: Computing Positive Solutions of Fuzzy Polynomial Systems
SN - 978-989-758-384-1
IS - 2184-3236
AU - Aubry, P.
AU - Marrez, J.
AU - Valibouze, A.
PY - 2019
SP - 351
EP - 359
DO - 10.5220/0008362403510359
PB - SciTePress

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