%0 Journal Article %A Cornejo Piñero, María Eugenia %A Lobo Palacios, David %A Medina Moreno, Jesús %T On the solvability of bipolar max-product fuzzy relation equations with the standard negation %D 2021 %@ 0165-0114 %U http://hdl.handle.net/10498/34660 %X 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. %K Bipolar fuzzy relation equations %K Max-product composition %K Standard negation %K Inverse problem resolution %~ Universidad de Cádiz