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Characterization of the order induced by uninorm with the underlying drastic product or drastic sum

Zhi-qiang Liu (2024)

Kybernetika

In this article, we investigate the algebraic structures of the partial orders induced by uninorms on a bounded lattice. For a class of uninorms with the underlying drastic product or drastic sum, we first present some conditions making a bounded lattice also a lattice with respect to the order induced by such uninorms. And then we completely characterize the distributivity of the lattices obtained.

Combination of t-norms and their conorms

Karel Zimmermann (2023)

Kybernetika

Non-negative linear combinations of t min -norms and their conorms are used to formulate some decision making problems using systems of max-separable equations and inequalities and optimization problems under constraints described by such systems. The systems have the left hand sides equal to the maximum of increasing functions of one variable and on the right hand sides are constants. Properties of the systems are studied as well as optimization problems with constraints given by the systems and appropriate...

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