(Ebook) Reduction of the Pareto Set: An Axiomatic Approach by Vladimir D. Noghin ISBN 9783319678726, 9783319678733, 9783319885018, 3319678728, 3319678736, 3319885014

(Ebook) Reduction of the Pareto Set: An Axiomatic Approach by Vladimir D. Noghin ISBN 9783319678726, 9783319678733, 9783319885018, 3319678728, 3319678736, 3319885014

Main subject categories: • Operations research, mathematical programming • Game theory, economics, finance, and other social and behavioral sciences • Global analysis, analysis on manifoldsReduction of the Pareto set: An Axiomatic Approach, First Edition 2018This book focuses on the issues of decision-making with several numerical criteria. It introduces an original general approach to solving multicriteria problems given quantitative information about the preference relation of a decision-maker. It considers the problems with crisp as well as fuzzy preference relations, accepting the four axioms of “reasonable choice”. Further, it defines the notion of an information quantum about the preference relation of a decision-maker and studies the reduction of the Pareto set using a finite collection of information quanta, demonstrating that the original approach yields a good approximation for the set of nondominated alternatives in a multicriteria problem. Lastly, it analyzes a possible combination of the axiomatic approach with other well-known methods. Intended for a wide range of professionals involved in solving multicriteria problems, including researchers, design engineers, product engineers, developers and analysts, the book is also a valuable resource for undergraduate and postgraduate students of mathematics, economics, and engineering.