Cargando…
Theory of multiobjective optimization /
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Orlando :
Academic Press,
1985.
|
| Colección: | Mathematics in science and engineering ;
v. 176. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn676697509 | ||
| 003 | OCoLC | ||
| 005 | 20231117032824.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 101101s1985 flua ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d OCLCE |d OCLCQ |d OPELS |d OCLCQ |d OCLCA |d OPELS |d OCLCF |d E7B |d EBLCP |d OCLCQ |d DEBSZ |d OCLCQ |d OCLCO |d OCLCQ |d LEAUB |d OCLCQ |d LUN |d S2H |d OCLCO |d OCLCQ |d OCLCO |d COM |d OCLCQ |d OCLCO | ||
| 019 | |a 300302308 |a 428101204 |a 568730056 |a 813230949 |a 1086425684 | ||
| 020 | |a 9780080958668 |q (electronic bk.) | ||
| 020 | |a 0080958664 |q (electronic bk.) | ||
| 020 | |z 0126203709 | ||
| 020 | |z 9780126203707 | ||
| 035 | |a (OCoLC)676697509 |z (OCoLC)300302308 |z (OCoLC)428101204 |z (OCoLC)568730056 |z (OCoLC)813230949 |z (OCoLC)1086425684 | ||
| 042 | |a dlr | ||
| 050 | 4 | |a QA402.5 |b .S28 1985eb | |
| 072 | 7 | |a MAT |x 003000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 029000 |2 bisacsh | |
| 082 | 0 | 4 | |a 519 |2 22 |
| 084 | |a 31.80 |2 bcl | ||
| 100 | 1 | |a Sawaragi, Yoshikazu, |d 1916- | |
| 245 | 1 | 0 | |a Theory of multiobjective optimization / |c Yoshikazu Sawaragi, Hirotaka Nakayama, Tetsuzo Tanino. |
| 260 | |a Orlando : |b Academic Press, |c 1985. | ||
| 300 | |a 1 online resource (xiii, 296 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematics in science and engineering ; |v v. 176 | |
| 504 | |a Includes bibliographical references (pages 281-291) and index. | ||
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 0 | |a Front Cover; Theory of Multiobjective Optimization; Copyright Page; Contents; Preface; Notation and Symbols; CHAPTER 1 INTRODUCTION; CHAPTER 2 MATHEMATICAL PRELIMINARIES; 2.1 Elements of Convex Analysis; 2.2 Point-To-Set Maps; 2.3 Preference Orders and Domination Structures; CHAPTER 3 SOLUTION CONCEPTS AND SOME PROPERTIES OF SOLUTIONS; 3.1 Solution Concepts; 3.2 Existence and External Stability of Efficient Solutions; 3.3 Connectedness of Efficient Sets; 3.4 Characterization of Efficiencyand Proper Efficiency; 3.5 Kuhn-Tucker Conditions for Multiobjective Programming; CHAPTER 4 STABILITY. | |
| 505 | 8 | |a 4.1 Families of Multiobjective Optimization Problems4.2 Stability for Perturbation of the Sets of Feasible Solutions; 4.3 Stability for Perturbation of the Domination Structure; 4.4 Stability in the Decision Space; 4.5 Stability of Properly Efficient Solutions; CHAPTER 5 LAGRANGE DUALITY; 5.1 Linear Cases; 5.2 Duality in Nonlinear Multiobjective Optimization; 5.3 Geometric Consideration of Duality; CHAPTER 6 CONJUGATE DUALITY; 6.1 Conjugate Duality Based on Efficiency; 6.2 Conjugate Duality Based on Weak Efficiency; 6.3 Conjugate Duality Based on Strong Supremum and Infimum. | |
| 505 | 8 | |a CHAPTER 7 METHODOLOGY7.1 Utility and Value Theory; 7.2 Stochastic Dominance; 7.3 Multiobjective Programming Methods; References; Index. | |
| 520 | |a In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank. | ||
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 6 | |a Optimisation math�ematique. |0 (CaQQLa)201-0007680 | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Mathematical optimization |2 fast |0 (OCoLC)fst01012099 | |
| 650 | 7 | |a Optimierung |2 gnd |0 (DE-588)4043664-0 | |
| 650 | 1 | 7 | |a Mathematische programmering. |2 gtt |
| 700 | 1 | |a Nakayama, Hirotaka, |d 1945- | |
| 700 | 1 | |a Tanino, Tetsuz�o. | |
| 776 | 0 | 8 | |i Print version: |a Sawaragi, Yoshikazu, 1916- |t Theory of multiobjective optimization. |d Orlando : Academic Press, 1985 |z 0126203709 |w (DLC) 84014501 |w (OCoLC)10948793 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 176. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780126203707 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/176 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=176 |z Texto completo |