Introduction to Multiobjective Optimization

Giorgio Giorgi (), Bienvenido Jiménez () and Vicente Novo ()
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Giorgio Giorgi: University of Pavia
Bienvenido Jiménez: National University of Distance Education
Vicente Novo: National University of Distance Education

Chapter Chapter 11 in Basic Mathematical Programming Theory, 2023, pp 383-430 from Springer

Abstract: Abstract Frequently, optimization problems appear in any technique or scientific activity, and the optimal decisions have traditionally attended to a unique criterion. However, in areas such as Economics, Social Sciences, Engineering, or Industry it is usually necessary to consider multiple objectives, confronted each other, that requires the use of decision techniques based on a finite number of objectives or criteria (multiobjective optimization or multicriteria decision), on a nonfinite number (vector optimization) or even on the resolution of problems in which the aim is to optimize a set-valued function. This fact has motivated the creation of mathematical theories, which are currently in process of development. To expand knowledge of this area, the interested reader can consult the monographs by Ehrgott [1], Miettinen [2] and Sawaragi, Nakayama and Tanino [3] in finite-dimensional spaces, and Jahn [4] and Luc [5] in infinite-dimensional spaces.

Date: 2023
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DOI: 10.1007/978-3-031-30324-1_11

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