@misc{10498/34660, year = {2021}, url = {http://hdl.handle.net/10498/34660}, 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.}, publisher = {Elsevier}, keywords = {Bipolar fuzzy relation equations}, keywords = {Max-product composition}, keywords = {Standard negation}, keywords = {Inverse problem resolution}, title = {On the solvability of bipolar max-product fuzzy relation equations with the standard negation}, doi = {10.1016/j.fss.2020.02.010}, author = {Cornejo Piñero, María Eugenia and Lobo Palacios, David and Medina Moreno, Jesús}, }