On the solvability of bipolar max-product fuzzy relation equations with the standard negation

M. Eugenia Cornejo; David Lobo; Jesús Medina

doi:10.1016/j.fss.2020.02.010

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arXiv · 2410.07197

On the solvability of bipolar max-product fuzzy relation equations with the standard negation

M. Eugenia Cornejo·David Lobo·Jesús Medina

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Abstract

Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max product fuzzy (relation) equations with the standard negation. In addition, some properties associated with the existence of the greatest/least solution or maximal/minimal solutions are shown, when these (relation) equations are solvable. Different examples are included in order to clarify the developed theory.

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M. Eugenia Cornejo, David Lobo, Jesús Medina. 2024-09-24. On the solvability of bipolar max-product fuzzy relation equations with the standard negation. https://doi.org/10.1016/j.fss.2020.02.010

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