Dominance on Strict Triangular Norms and Mulholland Inequality

0476579 - ÚI 2019 RIV NL eng J - Journal Article
Petrík, Milan
Dominance on Strict Triangular Norms and Mulholland Inequality.
Fuzzy Sets and Systems. Roč. 335, 15 March (2018), s. 3-17. ISSN 0165-0114. E-ISSN 1872-6801
R&D Projects: GA ČR GJ15-07724Y
Institutional support: RVO:67985807
Keywords : dominance relation * Mulholland inequality * strict triangular norm * transitivity
OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Impact factor: 2.907, year: 2018

This paper is devoted to the question of transitivity of the dominance relation defined on the set of strict triangular norms and to the connection between dominance and Mulholland inequality. A summary of the results reached in this field is given and a new result for the strict triangular norms of Family19 is shown. Further, some parametric classes of solutions of Mulholland inequality, that do not comply with the Mulholland’s condition, are presented and, finally, it is shown that the dominance relation is, in general, not transitive on the set of strict triangular norms.
Permanent Link: http://hdl.handle.net/11104/0273055