Lukasiewicz-like Triangular Subnorms

Authors: Milan Petrík, P. Sarkoci
Publication year: 2015
Publication type: Konferenční příspěvek (mezinárodní konf.)
Periodical: Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Projects: Totally ordered monoids
Bibliographic citation: PETRÍK, Milan, SARKOCI, P. Lukasiewicz-like Triangular Subnorms. In: ALONSO, J.M., BUSTINCE, H., REFORMAT, M., eds. Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology. Paris: Atlantis Press, 2015, S. 1100-1105. Advances in Intelligent Systems Research, 89. ISBN 978-1-5108-0807-2.
ID: 447845

Abstract

The paper defines and studies Lukasiewicz-like triangular subnorms, i.e., triangular subnorms such that their level sets are obtained as unions of the level sets of the Lukasiewicz triangular norm. As a result, the paper gives a characterization of these operations.