Reduction Of The Pareto Set An Axiomatic Approach 1st Edition Vladimir D Noghin by Vladimir D. Noghin 9783319678726, 9783319678733, 9783319885018, 3319678728, 3319678736, 3319885014 instant download after payment.

Main subject categories: • Operations research, mathematical programming • Game theory, economics, finance, and other social and behavioral sciences • Global analysis, analysis on manifolds

Reduction of the Pareto set: An Axiomatic Approach, First Edition 2018

This 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.