Author(s)

L.S. Vamvakeridou-Lyroudia

Abstract

In this paper, fuzzy reasoning is used for the optimal design of branched pressure water distribution networks under multiple loadings. Non-linear fuzzy membership functions are introduced to velocity and pressure constraints. Optimization is carried out by an extension of the classical Dynamic Programming scheme for networks. An original mathematical approach to the problem is presented There is also a discussion on the selection of partial membership functions and aggregation operators. 1. Introduction In classical design optimization models, any network is designed according to the "worse" or "heavier" loading, that assumes maximum (estimated) consumption at the nodes. Optimal solution is selected as the "best solution" in the set of feasible solutions, namely the solution that minimizes cost, given a set

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