Paper Info
Title
Domination in the families of Frank and Hamacher t-norms.
Abstract
Domination is a relation between general operations defined on a poset. The old open problem is whether domination is transitive on the set of all t-norms. In this paper we contribute partially by inspection of domination in the family of Frank and Hamacher t-norms. We show that between two different t-norms from the same family, the domination occurs iff at least one of the t-norms involved is a maximal or minimal member of the family. The immediate consequence of this observation is the transitivity of domination on both inspected families of t-norms.
Year
Venue
Keywords
2005
KYBERNETIKA
domination,Frank t-norm,Hamacher t-norm
Field
DocType
Volume
T-norm,Combinatorics,Dominating set,Open problem,Partially ordered set,Mathematics,Transitive relation
Journal
41
Issue
ISSN
Citations 
3
0023-5954
17
PageRank 
References 
Authors
0.96
1
1
Name
Order
Citations
PageRank
Peter Sarkoci111312.64