caa a22 4500 467899665 CHVBK 20180406152814.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s00012-006-2004-y doi (NATIONALLICENCE)springer-10.1007/s00012-006-2004-y Voutsadakis George School of Mathematics and Computer Science, Lake Superior State University, 49783, Sault Sainte Marie, MI, USA aut n -closure systems and n -closure operators [Elektronische Daten] [George Voutsadakis] Abstract.: It is very well known and permeating the whole of mathematics that a closure operator on a given set gives rise to a closure system, whose constituent sets form a complete lattice under inclusion, and vice-versa. Recent work of Wille on triadic concept analysis and subsequent work by the author on polyadic concept analysis led to the introduction of complete trilattices and complete n-lattices, respectively, that generalize complete lattices and capture the order-theoretic structure of the collection of concepts associated with polyadic formal contexts. In the present paper, polyadic closure operators and polyadic closure systems are introduced and they are shown to be in a relationship similar to the one that exists between ordinary (dyadic) closure operators and ordinary (dyadic) closure systems. Finally, the algebraic case is given some special consideration. Birkhäuser Verlag, Basel, 2007 closure operators nationallicence closure systems nationallicence complete lattices nationallicence algebraic lattices nationallicence formal concept analysis nationallicence triadic concept analysis nationallicence trilattices nationallicence polyadic concept analysis nationallicence n -lattices nationallicence algebra universalis Birkhäuser-Verlag; www.birkhauser.ch 55/2-3(2006-08-01), 369-386 0002-5240 55:2-3<369 2006 55 12 https://doi.org/10.1007/s00012-006-2004-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00012-006-2004-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Voutsadakis George School of Mathematics and Computer Science, Lake Superior State University, 49783, Sault Sainte Marie, MI, USA aut NATIONALLICENCE 773 0- algebra universalis Birkhäuser-Verlag; www.birkhauser.ch 55/2-3(2006-08-01), 369-386 0002-5240 55:2-3<369 2006 55 12 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer