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 …

This paper is concerned with higher-order sensitivity analysis in parametric vector
optimization problems. Firstly, higher-order proto-differentiability of a set-valued mapping …

7 SENSITIVITY ANALYSIS IN MCDM 7 SENSITIVITY ANALYSIS IN MCDM Page 1 7
SENSITIVITY ANALYSIS IN MCDM Tetsuzo Tanino CONTENTS 7.1 Introduction 7-2 7.2 …

This chapter provides an annotated bibliography of nonlinear multiobjective programming.
The list of references comprises more than 500 entries. First we explain some solution …

Duality theory is applied to measure the sensitivity of a multi‐objective programming
problem. Since the dual problem does not always measure primal sensitivity, the paper …

This paper deals with higher-order sensitivity analysis in terms of the higher-order adjacent
derivative for nonsmooth vector optimization. The relations between the higher-order …

The main goal of this paper is to analyse the sensitivity of a vector convex optimization
problem according to variations in the right-hand side. We measure the quantitative …

Several results are established concerning the density of the set of ideal points in the set of
minimal solutions of positive support functionals of sets in normed linear spaces. The above …

The object of this paper is to perform an analysis of the sensitivity for convex vector
programs with inequality constraints by examining the quantitative behavior of a certain set …

A new concept of duality is proposed for multiobjective linear programs. It is based on a set
expansion process for the computation of optimal solutions without scalarization. The duality …