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Decision making and optimizationspec...

Gavalec, Martin.

Decision making and optimizationspecial matrices and their applications in economics and management /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Decision making and optimizationby Martin Gavalec, Jaroslav Ramik, Karel Zimmermann.
Reminder of title:	special matrices and their applications in economics and management /
Author:	Gavalec, Martin.
other author:	Ramik, Jaroslav.
Published:	Cham :Springer International Publishing :2015.
Description:	xi, 225 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Matrices.
Online resource:	http://dx.doi.org/10.1007/978-3-319-08323-0
ISBN:	9783319083230 (electronic bk.)

Decision making and optimizationspecial matrices and their applications in economics and management /
Gavalec, Martin.

Decision making and optimizationspecial matrices and their applications in economics and management /[electronic resource] :by Martin Gavalec, Jaroslav Ramik, Karel Zimmermann. - Cham :Springer International Publishing :2015. - xi, 225 p. :ill., digital ;24 cm. - Lecture notes in economics and mathematical systems,6770075-8442 ;. - Lecture notes in economics and mathematical systems ;461..

Special Matrices in Decision Making: Preliminaries -- Pairwise Comparison Matrices in Decision Making -- Preference Matrices with Fuzzy Elements in Decision Making -- Special Matrices in Max-Min Algebra: Optimization Problems under Max-Min Separable Constraints.

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.

ISBN: 9783319083230 (electronic bk.)

Standard No.: 10.1007/978-3-319-08323-0doiSubjects--Topical Terms:

181876
Matrices.

LC Class. No.: HD30.23

Dewey Class. No.: 519.542

Decision making and optimizationspecial matrices and their applications in economics and management /
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520 $a 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.
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