Fuzzy Sets in Engineering Design and Configuration
Hans-Jürgen Sebastian, Erik K. Antonsson
Springer US, Sep 30, 1996 - Mathematics - 282 pages
As understanding of the engineering design and configuration processes grows, the recognition that these processes intrinsically involve imprecise information is also growing. This book collects some of the most recent work in the area of representation and manipulation of imprecise information during the syn thesis of new designs and selection of configurations. These authors all utilize the mathematics of fuzzy sets to represent information that has not-yet been reduced to precise descriptions, and in most cases also use the mathematics of probability to represent more traditional stochastic uncertainties such as un controlled manufacturing variations, etc. These advances form the nucleus of new formal methods to solve design, configuration, and concurrent engineering problems. Hans-Jurgen Sebastian Aachen, Germany Erik K. Antonsson Pasadena, California ACKNOWLEDGMENTS We wish to thank H.-J. Zimmermann for inviting us to write this book. We are also grateful to him for many discussions about this new field Fuzzy Engineering Design which have been very stimulating. We wish to thank our collaborators in particular: B. Funke, M. Tharigen, K. Miiller, S. Jarvinen, T. Goudarzi-Pour, and T. Kriese in Aachen who worked in the PROKON project and who elaborated some of the results presented in the book. We also wish to thank Michael J. Scott for providing invaluable editorial assis tance. Finally, the book would not have been possible without the many contributions and suggestions of Alex Greene of Kluwer Academic Publishers. 1 MODELING IMPRECISION IN ENGINEERING DESIGN Erik K. Antonsson, Ph.D., P.E.
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MULTIPLE OBJECTIVE DESIGN
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Aachen actuating force aggregation algorithm alternatives Antonsson application approach assessment attributes Branch and Bound cabin layout components computed conceptual constraints conceptual hierarchy configuration task consider criteria defined Defuzzification denotes described design and configuration design problems design variables determined Dhingra disk brake domain drum brake engineering design evaluation evolutionary algorithm example extension module feasible Figure finite set formulation fuzzy constraints fuzzy game fuzzy goals Fuzzy Logic fuzzy optimization fuzzy set theory game theory goal programming hubs imprecise input integral knowledge base knowledge-based KONWERK KSAOs linguistic variables matrix maximal membership functions minimization MOO problem Multi-Criteria objective functions optimization problem optimum solution overall parameter Pareto-optimal performance specification performance variable possible production cycle relations represented requirement model restrictions RWTH Aachen Section selection solve space launch systems SPEC stages structure techniques Technology temperature decay tion torque uncertain information uncertainty values vector weighting