A note on projection of fuzzy sets on hyperplanes

Heriberto Román Flores, Arturo Flores Franulic


The aim of this paper is to realize a comparative study between the concepts of projection and shadow of fuzzy sets on a closed hyperplane in a Hilbert space X , this last one introduced by Zadeh in [8] on finite dimensional spaces and recently studied by Takahashi [1,7] in a real Hilbert space X.

Palabras clave

Compact-convex fuzzy sets ; Metric projection ; Closed hyperplanes.

Texto completo:



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DOI: http://dx.doi.org/10.4067/S0716-09172001000300006

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