Journal
FUZZY SETS AND SYSTEMS
Volume 439, Issue -, Pages 55-74Publisher
ELSEVIER
DOI: 10.1016/j.fss.2021.05.008
Keywords
T-norm; t-Conorm; Lattice; Archimedean; Divisible; 1-Lipschitz
Funding
- Ministry of Education of the Czech Republic [GACR 19-09967S]
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This paper provides a complete classification of all t-norms on a family of lattices in terms of t-norms on discrete chains, and computes the cardinal of some classes on discrete chains. The number of t-norms on the family of lattices is obtained. New results involving Archimedean and divisible t-norms are also presented, along with dual results for t-conorms.
This paper provides a complete classification of all t-norms on a family of lattices in terms of t-norms on discrete chains. Moreover, the cardinal of some classes on discrete chains is computed. Therefore, the number of t-norms on the family of lattices is obtained. Also, new results involving Archimedean and divisible t-norms are presented. Finally, we bring out dual results for t-conorms. (c) 2021 Elsevier B.V. All rights reserved.
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