This work results from my interest in the field of vector optimiza­ tion. I stumbled first upon this subject in 1982 during my six months visit to the Istituto di Elaborazione della Informazione in Pisa, Italy, supported by a fellowship of the (Italian) Consiglio Nationale delle Richerche. I was att...

Full description

Bibliographic Details

Main Author:	Kaliszewski, Ignacy (Author)
Format:	Electronic eBook
Language:	English
Published:	New York, NY Springer US 1994
Edition:	1st ed. 1994
Subjects:	Operations Research/Decision Theory Applications of Mathematics Operations Research, Management Science Mathematical Modeling and Industrial Mathematics Optimization Operations research Decision making Applied mathematics Engineering mathematics Management science Mathematical models Mathematical optimization Multikriteria-Entscheidung Optimierung Vektorraum
Online Access:	BTU01 Volltext
Summary:	This work results from my interest in the field of vector optimiza­ tion. I stumbled first upon this subject in 1982 during my six months visit to the Istituto di Elaborazione della Informazione in Pisa, Italy, supported by a fellowship of the (Italian) Consiglio Nationale delle Richerche. I was attracted then by a gap between vector optimiza­ tion used to serve as a formal model for multiple objective decision problems and the decision problems themselves, the gap nonexis­ tent in scalar optimization. Roughly speaking, vector optimization provides methods for ranking decisions according to a partial order whereas decision making requires a linear ordering of decisions. The book deals with vector optimization. However, vector opti­ mization is considered here not only as a topic of research in itself but also as a basic tool for decision making. In consequence, all results presented here are aimed at exploiting and understanding the structure of elements (decisions) framed by a vector optimiza­ tion problem with the underlying assumption that the results should be interpretable in terms and applicable in the context of decision making. Computational tractability of results is therefore of special concern throughout this book. A unified framework for presentation is offered by the Cone Sep­ aration Technique (CST) founded on the notion of cone separation
Physical Description:	1 Online-Ressource (XIV, 160 p)
ISBN:	9781461527725
DOI:	10.1007/978-1-4615-2772-5