Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6856255 | Information Sciences | 2018 | 7 Pages |
Abstract
The aim of this paper is to present an essential improvement of the result above by presenting a new generating set of this clone. A bit artificial ternary functions are substituted here by natural (binary) lattice a-medians and certain binary characteristic functions. Consequently, the clone is generated by its binary part and the result strengthens the essential role of medians within all idempotent aggregation functions. Moreover, we will show that for an n-element lattice L, the upper bound of binary generators is 2nâ1.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
RadomÃr HalaÅ¡, ZbynÄk KuraÄ, Radko Mesiar, Jozef Pócs,