Simulating Continuous Fuzzy Systems: 188 (Studies in Fuzziness and Soft Computing, 188) - Hardcover

Buckley, James J.; Jowers, Leonard J.

Hardcover

ISBN 10: 3540284559 ISBN 13: 9783540284550

Publisher: Springer, 2005

Synopsis

Simulating Continuous Fuzzy Systems A companion text to "Simulating Fuzzy Systems", which investigated discrete fuzzy systems through crisp discrete simulation. This book studies continuous fuzzy dynamical systems using crisp continuous simulation. It starts with a crisp continuous dynamical system whose evolution depends on a system of ordinary differential equations (ODEs). Full description

About this title

From the Back Cover:

This monograph studies continuous fuzzy dynamical systems using crisp continuous simulation. A crisp continuous dynamical system is presented whose evolution depends on a system of ordinary differential equations (ODEs). The system of ODEs contains parameters many of which have uncertain values. Usually point estimators for these uncertain parameters are used, but the resulting system will not display any uncertainty associated with these estimators. Instead fuzzy number estimators are employed, constructed from expert opinion or from data, for the uncertain parameters. Fuzzy number estimators produce a system of fuzzy ODEs to solve whose solution will be fuzzy trajectories for the variables. The authors use crisp continuous simulation to estimate the trajectories of the support and core of these fuzzy numbers in a variety of twenty applications of fuzzy dynamical systems. The applications range from Bungee jumping to the AIDS epidemic to dynamical models in economics. This book is the companion text to "Simulating Fuzzy Systems" (Springer 2005) which investigated discrete fuzzy systems through crisp discrete simulation.

Synopsis:

This book is the companion text to "Simulating Fuzzy Systems" which investigated discrete fuzzy systems through crisp discrete simulation. The current book studies continuous fuzzy dynamical systems using crisp continuous simulation. We start with a crisp continuous dynamical system whose evolution depends on a system of ordinary differential equations (ODEs). The system of ODEs contains parameters many of which have uncertain values. Usually point estimators for these uncertain parameters are used, but the resulting system will not display any uncertainty associated with these estimators. Instead we employ fuzzy number estimators, constructed from expert opinion or from data, for the uncertain parameters. Fuzzy number estimators produces a system of fuzzy ODEs to solve whose solution will be fuzzy trajectories for the variables. We use crisp continuous simulation to estimate the trajectories of the support and core of these fuzzy numbers in a variety of twenty applications of fuzzy dynamical systems. The applications range from Bungee jumping to the AIDS epidemic to dynamical models in economics.

About this edition

• Publisher: Springer
• Publication date: 2005
• ISBN 10: 3540284559
• ISBN 13: 9783540284550
• Binding: Hardcover
• Number of pages: 214