The purpose of this paper is to investigate generative and evolutionary design models by the new idea of co-evolution. Multi-objective optimization is our main concern. A dynamic co-evolution model is presented with detailed description of its application in eco-conscious housing design. Area and solar constraints of housing design problems are considered with maximum architectural area and solar illumination been optimized. We use dynamic niche models based on a fitness-sharing scheme to define energy and fitness functions for the co-evolution system. Early experimental data are presented and analyzed to show the effectiveness of this approach to evolutionary design optimization and its computational implementation of the algorithms.

In this paper, we give some new results on the existence and properties of solutions of singular elliptic boundary value problems of second order. We discuss the difference of weak solutions and classical solutions.

CLARANS is an efficient and effective clustering method especially in spatial data mining. It is applicable to locate objects with polygon shape. Inspired by its randomized searching nature, and based on the standard particle swarm optimization (PSO) algorithm together with the widely used dynamic niche technology, this paper presents a new variation of CLARANS combined with the dynamic niche sharing technique with PSO algorithm. We proposed a cooperative particle swarm optimization CLARANS with cooperative multi-population.

This paper presents a new design optimization technique by artificial neural networks. Based on the theory of partial ordering and cones in Banach spaces, a new kind of neural networks with functional links is proposed. Learning algorithm lies heavily on the ordering structure of the sample space with an alternative feed-forward and backpropagation technique. Experiments are described with comparison with traditional functional link networks and wavelet networks.

Based on the standard particle swarm optimization (PSO) algorithm together with the widely used dynamic niche technology, this paper presents a new variation combined with the dynamic niche sharing technique on the basis of traditional PSO algorithm. We proposed a cooperative particle swarm optimization model with cooperative multi-population. Applications are given on creative conceptual architectural design.