Problems with multiple objectives and criteria are generally  known as multiple criteria optimization or multiple criteria  decision-making (MCDM) problems. So far, these types of problems have  typically been modelled and solved by means of linear programming.  However, many real-life phenomena are of a nonlinear nature, which is  why we need tools for nonlinear programming capable of handling  several conflicting or incommensurable objectives. In this case,  methods of traditional single objective optimization and linear  programming are not enough; we need new ways of thinking, new  concepts, and new methods - nonlinear multiobjective  optimization.     Nonlinear Multiobjective Optimization provides an extensive,  up-to-date, self-contained and consistent survey, review of the  literature and of the state of the art on nonlinear (deterministic)  multiobjective optimization, its methods, its theory and its  background. The amount of literature on multiobjective optimization is  immense. The treatment in this book is based on approximately 1500  publications in English printed mainly after the year 1980.     Problems related to real-life applications often contain  irregularities and nonsmoothnesses. The treatment of nondifferentiable  multiobjective optimization in the literature is rather rare. For this  reason, this book contains material about the possibilities,  background, theory and methods of nondifferentiable multiobjective  optimization as well.     This book is intended for both researchers and students in the areas  of (applied) mathematics, engineering, economics, operations research  and management science; it is meant for both professionals and  practitioners in many different fields of application. The intention  has been to provide a consistent summary that may help in selecting an  appropriate method for the problem to be solved. It is hoped the  extensive bibliography will be of value to researchers.

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