Modelling of Collective Animal Behavior Using Relations and Set Theory
In this paper we focus on developing the formal methods and techniques necessary to model and classify a collective animal behaviour. The benefits of using set theory are the possibility of a formal examination of the local problems and to organize individuals as elements of the considered classes, defined globally. In order to describe collective activity of animals, we proposed concepts of actions, behaviour and structures. To govern collective behaviour of animals we propose three key relations and mappings determined taxonomic order on them.
Keywordscollective animal bahaviour relations
Unable to display preview. Download preview PDF.
- 1.Alexander, R.M.: Hitching a lift hydrodynamically - in swimming, flying and cycling. J. Biol. 3(2), article7; BioMed Central Ltd. (2004)Google Scholar
- 2.Blondel, V., Hendrickx, J.M., Olshevsky, A., Tsitsiklis, J.N.: Convergence in multi-agent coordination, consensus, and flocking. In: Proc. of 44th IEEE Conf. Decision and Control and 2005 Eur. Control Conf (CDC-ECC 2005), pp. 2996–3000 (2005)Google Scholar
- 4.Jaron, J.: Systemic Prolegomena to Theoretical Cybernetics: Scientific Papers of Institute of Technical Cybernetics, no. 45, Wroclaw University of Technology (1978)Google Scholar
- 5.Kuratowski, K., Mostowski, M.: Set Theory, with introduction to descriptive set theory; Studies in Logic and the Foundations of Mathematics, vol. 86. PWN-Warsaw, North-Holland, Amsterdam, New York (1976)Google Scholar
- 7.Olfati-Saber, R., Fax, J.A., Murray, R.M.: Consensus and Cooperation in Networked Multi-Agent Systems. Proceedings of the IEEE 95(1) (2007)Google Scholar
- 10.Reynolds, C.W.: Flocks, Herds, and Schools: A Distributed Behavioral Model. In: SIGGRAPH 1987 Conference Proceedings, Computer Graphics, vol. 21(4), pp. 25–34 (1987)Google Scholar
- 15.Wolpert, D., Tumer, K.: An overview of collective intelligence. In: Bradshaw, J.M. (ed.) Handbook of Agent Technology. AAAI Press/MIT Press, Cambridge (1999)Google Scholar