# General structure of Acalugaritei networks

General structure of Acalugaritei networks Acalugaritei networks (ANs) are multidimensional evolutionary hierarchical networks. They are called hierarchical because the sets and subsets of components correspond to different ranks (levels), where: the set of “inferior” rank is the subset of rank zero (j = 0) of the set of immediately “superior” rank. The sets and subsets of components will be noted S i j , where: i is the rank number of the set (i = 0,1,2,3); jis the rank number of the subset within the same set (j = 0,1,2, …, n). We will thus distinguish: \ c u r r S i j =( S 0 j ⊂ S 1 j ⊂ S 2 j ⊂ S 3 j ). They are called evolutionary because the most comprehensive set of components is the set of evolutionary relations. They are called multidimensional because the components of the same rank can be classified according to n dimensions (n criteria: k i where: i = 0, 1, 2,…, n). ANs are of different ranks (ANs i , where: i = 0, 1, 2,…,n). In an AN of a certain rank, the set of fundamental components is the set of sequences of ANs of subordinated ranks. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Kybernetes Emerald Publishing

# General structure of Acalugaritei networks

, Volume 29 (5/6): 15 – Jul 1, 2000
15 pages

/lp/emerald-publishing/general-structure-of-acalugaritei-networks-ojEFczJgOz

# References (26)

Publisher
Emerald Publishing
ISSN
0368-492X
DOI
10.1108/03684920010333189
Publisher site
See Article on Publisher Site

### Abstract

Acalugaritei networks (ANs) are multidimensional evolutionary hierarchical networks. They are called hierarchical because the sets and subsets of components correspond to different ranks (levels), where: the set of “inferior” rank is the subset of rank zero (j = 0) of the set of immediately “superior” rank. The sets and subsets of components will be noted S i j , where: i is the rank number of the set (i = 0,1,2,3); jis the rank number of the subset within the same set (j = 0,1,2, …, n). We will thus distinguish: \ c u r r S i j =( S 0 j ⊂ S 1 j ⊂ S 2 j ⊂ S 3 j ). They are called evolutionary because the most comprehensive set of components is the set of evolutionary relations. They are called multidimensional because the components of the same rank can be classified according to n dimensions (n criteria: k i where: i = 0, 1, 2,…, n). ANs are of different ranks (ANs i , where: i = 0, 1, 2,…,n). In an AN of a certain rank, the set of fundamental components is the set of sequences of ANs of subordinated ranks.

### Journal

KybernetesEmerald Publishing

Published: Jul 1, 2000

Keywords: Cybernetics; Networks; Hierarchy