For any continuous t-norm, the feasible set of a bipolar fuzzy relational equality system is a finite union of compact Cartesian products, and monotone-objective optimization reduces to evaluating finitely many componentwise extrema.
Bipolar fuzzy relation equations based on the product t- norm
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On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms
For any continuous t-norm, the feasible set of a bipolar fuzzy relational equality system is a finite union of compact Cartesian products, and monotone-objective optimization reduces to evaluating finitely many componentwise extrema.