Advanced search
1 file | 2.58 MB

Clonal sets of a binary relation

Author
Organization
Abstract
In a recent paper, we have introduced the notion of clone relation of a given binary relation. Intuitively, two elements are said to be clones if they are related in the same way w.r.t. every other element. In this paper, we generalize this notion from pairs of elements to sets of elements of any cardinality, resulting in the introduction of clonal sets. We investigate the most important properties of clonal sets, paying particular attention to the introduction of the clonal closure operator, to the analysis of the (lattice) structure of the set of clonal sets and to a distance metric expressing how close two elements are to being clones.
Keywords
Clone relation, clonal set, clonal closure, clonal lattice, clonal distance metric, FUZZY, COMPATIBILITY, INDEPENDENCE, LATTICES

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 2.58 MB

Citation

Please use this url to cite or link to this publication:

Chicago
Zedam, Lemnaouar, Raul Perez Fernandez, Hassane Bouremel, and Bernard De Baets. 2018. “Clonal Sets of a Binary Relation.” International Journal of General Systems 47 (4): 329–349.
APA
Zedam, L., Perez Fernandez, R., Bouremel, H., & De Baets, B. (2018). Clonal sets of a binary relation. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 47(4), 329–349.
Vancouver
1.
Zedam L, Perez Fernandez R, Bouremel H, De Baets B. Clonal sets of a binary relation. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS. 2018;47(4):329–49.
MLA
Zedam, Lemnaouar, Raul Perez Fernandez, Hassane Bouremel, et al. “Clonal Sets of a Binary Relation.” INTERNATIONAL JOURNAL OF GENERAL SYSTEMS 47.4 (2018): 329–349. Print.
@article{8578987,
  abstract     = {In a recent paper, we have introduced the notion of clone relation of a given binary relation. Intuitively, two elements are said to be clones if they are related in the same way w.r.t. every other element. In this paper, we generalize this notion from pairs of elements to sets of elements of any cardinality, resulting in the introduction of clonal sets. We investigate the most important properties of clonal sets, paying particular attention to the introduction of the clonal closure operator, to the analysis of the (lattice) structure of the set of clonal sets and to a distance metric expressing how close two elements are to being clones.},
  author       = {Zedam, Lemnaouar and Perez Fernandez, Raul and Bouremel, Hassane and De Baets, Bernard},
  issn         = {0308-1079},
  journal      = {INTERNATIONAL JOURNAL OF GENERAL SYSTEMS},
  language     = {eng},
  number       = {4},
  pages        = {329--349},
  title        = {Clonal sets of a binary relation},
  url          = {http://dx.doi.org/10.1080/03081079.2018.1445738},
  volume       = {47},
  year         = {2018},
}

Altmetric
View in Altmetric
Web of Science
Times cited: