Decision Making and Optimization:Special Matrices and Their Applications in Economics and Management
The book is a benefit for graduate and postgraduate students in the areas of operations research, decision theory, optimization theory, linear algebra, interval analysis and fuzzy sets. The book will also be useful for the researchers in the respective areas. The first part of the book deals with de...
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2015
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oai:scholar.dlu.edu.vn:DLU123456789-575792023-11-11T05:47:27Z Decision Making and Optimization:Special Matrices and Their Applications in Economics and Management Gavalec, Martin Ramík, Jaroslav Zimmermann, Karel The book is a benefit for graduate and postgraduate students in the areas of operations research, decision theory, optimization theory, linear algebra, interval analysis and fuzzy sets. The book will also be useful for the researchers in the respective areas. The first part of the book deals with decision making problems and procedures that have been established to combine opinions about alternatives related to different points of view. Procedures based on pairwise comparisons are thoroughly investigated. In the second part we investigate optimization problems where objective functions and constraints are characterized by extremal operators such as maximum, minimum or various triangular norms (t-norms). Matrices in max-min algebra are useful in applications such as automata theory, design of switching circuits, logic of binary relations, medical diagnosis, Markov chains, social choice, models of organizations, information systems, political systems and clustering. The input data in real problems are usually not exact and can be characterized by interval values. 2015-08-18T09:23:51Z 2015-08-18T09:23:51Z 2015 Book 978-3-319-08323-0 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57579 en application/pdf Springer |
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Thư viện Trường Đại học Đà Lạt |
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English |
description |
The book is a benefit for graduate and postgraduate students in the areas of operations research, decision theory, optimization theory, linear algebra, interval analysis and fuzzy sets. The book will also be useful for the researchers in the respective areas. The first part of the book deals with decision making problems and procedures that have been established to combine opinions about alternatives related to different points of view. Procedures based on pairwise comparisons are thoroughly investigated. In the second part we investigate optimization problems where objective functions and constraints are characterized by extremal operators such as maximum, minimum or various triangular norms (t-norms). Matrices in max-min algebra are useful in applications such as automata theory, design of switching circuits, logic of binary relations, medical diagnosis, Markov chains, social choice, models of organizations, information systems, political systems and clustering. The input data in real problems are usually not exact and can be characterized by interval values. |
format |
Book |
author |
Gavalec, Martin Ramík, Jaroslav Zimmermann, Karel |
spellingShingle |
Gavalec, Martin Ramík, Jaroslav Zimmermann, Karel Decision Making and Optimization:Special Matrices and Their Applications in Economics and Management |
author_facet |
Gavalec, Martin Ramík, Jaroslav Zimmermann, Karel |
author_sort |
Gavalec, Martin |
title |
Decision Making and Optimization:Special Matrices and Their Applications in Economics and Management |
title_short |
Decision Making and Optimization:Special Matrices and Their Applications in Economics and Management |
title_full |
Decision Making and Optimization:Special Matrices and Their Applications in Economics and Management |
title_fullStr |
Decision Making and Optimization:Special Matrices and Their Applications in Economics and Management |
title_full_unstemmed |
Decision Making and Optimization:Special Matrices and Their Applications in Economics and Management |
title_sort |
decision making and optimization:special matrices and their applications in economics and management |
publisher |
Springer |
publishDate |
2015 |
url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57579 |
_version_ |
1782535599951970304 |