loading
Papers Papers/2022 Papers Papers/2022

Research.Publish.Connect.

Paper

Paper Unlock

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.

CC BY-NC-ND 4.0

Sign In Guest: Register as new SciTePress user now for free.

Sign In SciTePress user: please login.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 18.223.125.35

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

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

- Science and Technology Publications, Lda.
RESOURCES

Proceedings

Papers

Authors

Ontology

CONTACTS

Science and Technology Publications, Lda
Avenida de S. Francisco Xavier, Lote 7 Cv. C,
2900-616 Setúbal, Portugal.

Phone: +351 265 520 185 (National fixed network call)
Fax: +351 265 520 186
Email: info@scitepress.org

EXTERNAL LINKS

PRIMORIS

INSTICC

SCITEVENTS

CROSSREF

PROCEEDINGS SUBMITTED FOR INDEXATION BY:

dblp

Ei Compendex

SCOPUS

Semantic Scholar

Google Scholar

Microsoft Academic