IJPAM: Volume 78, No. 7 (2012)
INTELLIGENCE USING NONLINEAR APPROACH
Department of Mathematics
College of Science
P.O. Box 30002, Madinah, KINGDOM OF SAUDI ARABIA
Abstract. For a fixed initial discrete positive measure, we define the corresponding global energy, which we call it collective intelligence energy. Since this energy map is not a continuous function of measure, we introduce an intensity function to extend it to a continuous mass operator. Moreover, by using nonlinear programming methods, we present some interesting results on maximizing such self-organizing behavior of the collective. We also show that the support structure of the measure -collection of individuals- influences the energy of collective intelligence. Therefore, characterizing the distribution of this agents based model in form of active autonomous individuals is worth to be analyzed.
Received: May 15, 2012
AMS Subject Classification: 92D50, 92D25, 91D30
Key Words and Phrases: energy of collective intelligence, self-organizing agents, emergence, measure metric space, nonlinear optimization
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395