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Communication Dans Un Congrès Année : 2019

The Real Transform: Computing Positive Solutions of Fuzzy Polynomial Systems

Résumé

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.

Dates et versions

hal-02457335 , version 1 (27-01-2020)

Identifiants

Citer

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⟩
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