Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389213 | Fuzzy Sets and Systems | 2016 | 8 Pages |
Abstract
Nullnorms are generalizations of triangular norms and triangular conorms with a zero element in the interior of the unit interval. In this paper, we work on nullnorms which are defined on an arbitrary bounded lattice. We introduce a general median-based method for constructing nullnorms by means of triangular norms and triangular conorms. Furthermore, we highlight a significant difference between the (existence and representation of) (idempotent) nullnorms on chains, distributive bounded lattices and general bounded lattices.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Mehmet Akif İnce, Funda Karaçal, Radko Mesiar,