3.1. The provision of high-quality drinking water remains one of the greatest environ- mental challenges for public health officials and water utilities worldwide. In order to ensure maximum water quality in distribution networks, proper attention must be given to the pressure head at nodal points (measured by pressure probes) and the demand consumption pattern (measured by telemetry meters) along the whole length of the distribution network. Suppose we have two fuzzy sets, P defined on a universe of three discrete pressures {x1, x2, x3}, and D defined on a uni- verse of two discrete demand consumptions {yı. y2}, where fuzzy set P represents the near-optimum pressure for high-quality drinking water and D represents the instantaneous demand (water demand) obtained from a time-series demand fore- casting. Thus, P and D represent the variable inputs and water quality represents the output. The Cartesian product represents the conditions (pressure-demand consumption) of the distribution system which are associated with near maximum water quality. Let 0.1 P 0.5 0.4 0.8 and D X2 X3 y2 Calculate the Cartesian product T = P x D.

3.1. The provision of high-quality drinking water remains one of the greatest environ- mental challenges for public health officials and water utilities worldwide. In order to ensure maximum water quality in distribution networks, proper attention must be given to the pressure head at nodal points (measured by pressure probes) and the demand consumption pattern (measured by telemetry meters) along the whole length of the distribution network. Suppose we have two fuzzy sets, P defined on a universe of three discrete pressures {x1, x2, x3}, and D defined on a uni- verse of two discrete demand consumptions {yı. y2}, where fuzzy set P represents the near-optimum pressure for high-quality drinking water and D represents the instantaneous demand (water demand) obtained from a time-series demand fore- casting. Thus, P and D represent the variable inputs and water quality represents the output. The Cartesian product represents the conditions (pressure-demand consumption) of the distribution system which are associated with near maximum water quality. Let 0.1 P 0.5 0.4 0.8 and D X2 X3 y2 Calculate the Cartesian product T = P x D.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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