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Huhns, M N et al (1992) Integrating enterprise information models in Carnot In Proceedings o f the International Conference on Intelligent and Cooperative Information Systems, Rotterdam, pp 32-42 Iglesias, C et a1 (1998) Analysis and design of multiagent systems using MAS-CommonKADS In Intelligent Agents, n/ (eds M P Singh, A Rao and M J Wooldridge), LNAI Volume 1365, pp 31 3-326 Springer, Berlin Iglesias, C A, Garijo, M and Gonzalez, J C (1999) A survey of agent-oriented methodologies In Intelligent Agents, V (eds J P Miiller, M P Singh and A S Rao), LNAI Volume 15 5 5 Springer, Berlin Jackson, P (1986) Introduction to Expert Systems Addison-Wesley, Reading, MA Jennings, N R (1992a) On being responsible In Decentralized A1 3 - Proceedings o f the 3rd European Workshop on Modelling Autonomous Agents in a Multi-Agent World (MAAMAW91 1 (eds E Werner and Y Demazeau), pp 93-102 Elsevier, Amsterdam.

Hence, one may easily calculate the changes in the weighting factors for the second layer: Dwji Zdj yi Again, there is an initial guess for the weighting factor matrix. This guess could very well be a pseudorandom selection of weights. There is a forward pass to calculate ek using current wji and wkj and then a backward pass to update wji and wkj. Then n is replaced with n + 1. With luck, the w-factors will converge to make the error function zero. However, there is no law that forces convergence; sometimes there is a loop in which the error function will not decrease below a given value. Such results have been termed false minimums. In such cases, the initial values used for wji and wkj must be chosen again, usually with the aid of another call to the random number subroutine. For dif cult input patterns a false minimum might be good enough to accomplish the needed recognition with good probability. A gradient method like this will never actually increase the value of the error function as long as Z is chosen small enough. Activation Functions The derivative of the activation function F is used in the back-projection algorithm. For this derivative to exist, the function has to

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Jennings, N R (1992b) Towards a cooperation knowledge level for collaborative problem solving In Proceedings o f the 10th European Conference on Artificial Intelligence (ECAI921, Vienna, Austria, pp 224-228 Jennings, N R (1993a) Commitments and conventions: the foundation of coordination in multi-agent systems The Knowledge Engineering Review, 8(3), 2 23-2 50 Jennings, N R (1993b) Specification and implementation of a belief desire joint-intention architecture for collaborative problem solving Journal o f Intelligent and Cooperative Information Systems, 2(3), 289-3 18 Jennings, N R (1995) Controlling cooperative problem solving in industrial multi-agent systems using joint intentions Artificial Intelligence, 75(2), 195-240 Jennings, N R (1999) Agent-based computing: promise and perils In Proceedings o f the 16th International Joint Conference on Artificial Intelligence (IJCAI-9S),Stockholm, Sweden, pp 1429-1436 Jennings, N R (2000)On agent-base software engineering Artificial Intelligence, 117,277296 Jennings, N R and Wittig, T (1992) ARCHON: theory and practice.

small_positive large_positive small_negative large_negative is is is is 0.0055 2.8E+16 -2.222E-07 1890

In Distributed Artificial Intelligence: Theory and Praxis (eds N Avouris and L Gasser), pp 179-195 ECSC, EEC, EAEC Jennings, N R and Wooldridge, M (eds) (1998a) Agent Technology: Foundations, Applications and Markets Springer, Berlin Jennings, N R and Wooldridge, M (1998b) Applications of intelligent agents In Agent Technology: Foundations, Applications and Markets (eds N R Jennings and M Wooldridge), pp 3-28 Springer, Berlin Jennings, N R, Corera, J M and Laresgoiti, I (1995) Developing industrial multi-agent systems In Proceedings of the 1st International Conference on Multi-Agent Systems (ICMAS951, San Francisco, CA, pp 423-430 Jennings, N R et al (1996a) Using ARCHON to develop real-world DAI applications for electricity transportation management and particle acceleration control IEEE Expert, 1 l(6),60-88 Jennings, N R et al (1996b) Agent-based business process management International Journal o f Cooperative Information Systems, 5(2-3), 105-130 Jennings, N R, Sycara, K and Wooldridge, M.

(1998) A roadmap of agent research and development Autonomous Agents and Multi-Agent Systems, 1(1), 7-38 Jennings, N R et al (2001) Automated negotiation: prospects, methods and challenges International Journal of Group Decision and Negotiation, 10(2),199-21 5 Jeon, H, Petrie, C and Cutkosky, M R (2000) JATLite: a Java agent infrastructure with message routing IEEE Internet Computing, 4(2), 87-96..

Exercise 1.1 Use Dejinition 1.3 to show that every continuous operator L where V and H7 are Bannch spaces, is closed.

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