Skip to Main content Skip to Navigation
Conference papers

The Real Transform: Computing Positive Solutions of Fuzzy Polynomial Systems

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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-02457335
Contributor : Philippe Aubry <>
Submitted on : Monday, January 27, 2020 - 11:29:37 PM
Last modification on : Friday, April 10, 2020 - 5:13:37 PM

Links full text

Identifiers

Citation

Philippe Aubry, Jérémy Marrez, Annick Valibouze. The Real Transform: Computing Positive Solutions of Fuzzy Polynomial Systems. 11th International Conference on Fuzzy Computation Theory and Applications, Sep 2019, Vienna, Austria. pp.351-359, ⟨10.5220/0008362403510359⟩. ⟨hal-02457335⟩

Share

Metrics

Record views

320