FUZZY SETS AND INTERACTIVE MULTIOBJECTIVE OPTIMIZATION

Sakawa, Masatoshi

ISBN 10: 0306443376 / ISBN 13: 9780306443374

Editore: Plenum Publishing Corporation, New York City, 1993

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Octavo, ix, 308 pages. In Very Good minus condition. Spine dark turquoise with white lettering. Boards have mild finger staining, front board has small cut, front and rear board corners have mild wear, and spine head and tail have light wear. Textblock rear end paper has small indent from floppy disk and tail edge has small pencil line. Rear pastedown has floppy disk in slip case attached with adhesive. Shelved in ND-E. 1378165. FP New Rockville Stock. Codice articolo 1378165

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Titolo: FUZZY SETS AND INTERACTIVE MULTIOBJECTIVE ...

Casa editrice: Plenum Publishing Corporation, New York City

Data di pubblicazione: 1993

Legatura: Hardcover

Edizione: First Edition.

Descrizione articolo

Riassunto:

The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including eco­ nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-making process re­ quires multiobjective approaches rather than single-objective. One ofthe major systems-analytic multiobjective approaches to decision-making under constraints is multiobjective optimization as a generalization of traditional single-objective optimization. Although multiobjective optimization problems differ from single­ objective optimization problems only in the plurality of objective functions, it is significant to realize that multiple objectives are often noncom mensurable and conflict with each other in multiobjective optimization problems. With this ob­ servation, in multiobjective optimization, the notion of Pareto optimality or effi­ ciency has been introduced instead of the optimality concept for single-objective optimization. However, decisions with Pareto optimality or efficiency are not uniquely determined; the final decision must be selected from among the set of Pareto optimal or efficient solutions. Therefore, the question is, how does one find the preferred point as a compromise or satisficing solution with rational pro­ cedure? This is the starting point of multiobjective optimization. To be more specific, the aim is to determine how one derives a compromise or satisficing so­ lution of a decision maker (DM), which well represents the subjective judgments, from a Pareto optimal or an efficient solution set.

Contenuti:

Introduction. Fundamentals of Fuzzy Set Theory. Fuzzy Linear Programming. Fuzzy Nonlinear Programming. Interactive Multiobjective Linear Programming with Fuzzy Parameters. Interactive Multiobjective Nonlinear Programming with Fuzzy Parameters. Interactive Computer Programs. Some Applications. Further Research Directions. Index.