05440nam 2200637Ia 450 991078228370332120230617040932.01-281-92816-X9786611928162981-277-546-3(CKB)1000000000537900(EBL)1681544(OCoLC)879025359(SSID)ssj0000135826(PQKBManifestationID)11155019(PQKBTitleCode)TC0000135826(PQKBWorkID)10063462(PQKB)10103988(MiAaPQ)EBC1681544(WSP)00005283(Au-PeEL)EBL1681544(CaPaEBR)ebr10255854(CaONFJC)MIL192816(EXLCZ)99100000000053790020030922d2003 uy 0engur|n|---|||||txtccrDecision making and programming[electronic resource] /V.V. Kolbin ; translated from Russian by V.M. DonetsRiver Edge, N.J. World Scientificc20031 online resource (757 p.)Description based upon print version of record.981-238-379-4 Includes bibliographical references (p. 733-745).CONTENTS; INTRODUCTION; Chapter 1 SOCIAL CHOICE PROBLEMS; 1.1. INDIVIDUAL PREFERENCE AGGREGATION; 1.1.1. Individual Preference Aggregation under Certainty; 1.1.2. Individual Preference Aggregation under Uncertainty; 1.1.3. Decision-making under Fuzzy Preference Relation on the Set of Alternatives; 1.2. COLLECTIVE PREFERENCE AGGREGATION; 1.2.1. The Procedures Using the Scale as the Auxiliary Collective Structure; 1.2.2. The Procedures Taking into Account Individual Utility Alternatives; 1.2.3. The Procedures with Exclusion of a Part of Alternatives1.2.4. The Procedure with the Aggregating Rule Altered1.2.5. Collective Preference Aggregation; 1.3. MANIPULATION; 1.3.1. Dictation policy; 1.3.2. Methods of group manipulation; 1.3.3. Manipulation theorems and proofs; 1.4. EXAMPLES AND ALGORITHMS FOR PREFERENCE AGGREGATION; 1.4.1. Examples and Algorithm for Preference Aggregation Subject to Criterion Convolution; 1.4.2. Examples and Algorithm for Preference Aggregation in Terms of a Set of Attributes; 1.4.3. The Examples Using the Aggregating Rules during Collective Decision Making (Voting Rules); Chapter 2 VECTOR OPTIMIZATION 2.1. DEFINITION OF UNIMPROVABLE POINTS 2.2. OPTIMIZATION OF THE HIERARCHICAL SEQUENCE OF QUALITY CRITERIA; 2.3. TRADEOFFS; I. Uniformity principles; II. Fair concession principles; III. Other optimality principles; 2.4. THE LINEAR CONVOLUTION OF CRITERIA IN MULTICRITERIA OPTIMIZATION PROBLEMS; 2.4.1. The linear convolution of criteria in multicriteria optimization problems; 2.4.2. Properties of linear convolution; 2.4.3. A geometric interpretation of linear convolution; 2.4.4. Bicriterial problems; 2.5. SOLVABILITY OF THE VECTOR PROBLEM BY THE LINEAR CRITERIA CONVOLUTION ALGORITHM2.5.1. Test for solvability2.5.2. Solvability of trajectory problems; 2.5.3. The reduction algorithm for the solvable problem; 2.6. THE LOGICAL CRITERION VECTOR CONVOLUTION IN THE PARETO SET APPROXIMATION PROBLEM; 2.6.1. The regular case; 2.6.2. The convex case; 2.6.3. The linear case; 2.7. COMPUTATIONAL RESEARCH ON LINEAR CRITERIA CONVOLUTION IN MULTICRITERIA DISCRETE PROGRAMMING; 2.7.1 Computational complexity of multicriteria discrete optimization problems; 2.7.2. A computational experiment; 2.7.3. A problem-solving algorithm; 2.7.4. The results of computational experimentChapter 3 INFINITE-VALUED PROGRAMMING PROBLEMS 3.1. BASIC NOTIONS AND PROPOSITIONS; 3.2. JUSTIFICATION OF NUMERICAL METHODS FOR SOLVING INFINITE-VALUED PROGRAMMING PROBLEMS; 3.3. NUMERICAL METHODS OF SOLUTION; 3.4. SEPARABLE INFINITE-VALUED PROGRAMMING PROBLEMS; 3.4.1. Existence conditions for solutions in separable infinite-valued problems; 3.4.2. Some methods for solving separable infinite-dimensional problems; Chapter 4 STOCHASTIC PROGRAMMING; 4.1. STOCHASTIC PROGRAMMING MODELS; 4.2. STOCHASTIC PROGRAMMING METHODS; 4.3. SOLUTION ALGORITHMS FOR STOCHASTIC PROGRAMMING PROBLEMS4.3.1. Solution of a two-stage linear stochastic programming problem The problem of selection of alternatives or the problem of decision making in the modern world has become the most important class of problems constantly faced by business people, researchers, doctors and engineers. The fields that are almost entirely focused on conflicts, where applied mathematics is successfully used, are law, military science, many branches of economics, sociology, political science, and psychology. There are good grounds to believe that medicine and some branches of biology and ethics can also be included in this list. Modern applied mathematics can produce solutions to Decision makingMathematical modelsComputer programmingDecision makingDecision makingMathematical models.Computer programmingDecision making.519.7Kolbin V. V(Vi͡acheslav Viktorovich),1941-1563179MiAaPQMiAaPQMiAaPQBOOK9910782283703321Decision making and programming3831371UNINA01739nas 2200553-a 450 991016015740332120230518213020.01540-1391(DE-599)ZDB2365535-5(OCoLC)49895187(CKB)991042728149228(CONSER)--2002214246(EXLCZ)9999104272814922820020531a20059999 s-- aengur|||||||||||txtrdacontentcrdamediacrrdacarrierJournal of creativity in mental health[Binghamton, N.Y.] :Haworth Press[Philadelphia, PA] :Routledge, Taylor & Francis Grouponline resourceRefereed/Peer-reviewed1540-1383 JCMHCounselingPeriodicalsCounselingStudy and teachingPeriodicalsCounselingPériodiquesCounselingÉtude et enseignementPériodiquesCounselingfast(OCoLC)fst00881212CounselingStudy and teachingfast(OCoLC)fst00881241Periodicalperiodicals.aatPeriodicals.fastPeriodicals.lcgftPériodiques.rvmgfCounselingCounselingStudy and teachingCounselingCounselingÉtude et enseignementCounseling.CounselingStudy and teaching.158Association for Creativity in Counseling (U.S.),JOURNAL9910160157403321Journal of creativity in mental health2153602UNINA03892nam 22006135 450 991048358770332120200710193640.03-662-48203-710.1007/978-3-662-48203-2(CKB)3710000000541884(SSID)ssj0001599595(PQKBManifestationID)16306057(PQKBTitleCode)TC0001599595(PQKBWorkID)14892259(PQKB)10700444(DE-He213)978-3-662-48203-2(PPN)190885106(EXLCZ)99371000000054188420151211d2016 u| 0gerurnn|008mamaatxtccrNumerik 3x9 Drei Themengebiete in jeweils neun kurzen Kapiteln /von Sören Bartels1st ed. 2016.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer Spektrum,2016.1 online resource (XIII, 380 S. 92 Abb. in Farbe.) Springer-Lehrbuch,0937-7433Bibliographic Level Mode of Issuance: Monograph3-662-48202-9 Numerische Lineare Algebra -- Numerische Analysis -- Numerik Gewöhnlicher Differentialgleichungen -- Aufgabensammlungen -- Anhänge.Dieses Buch bietet eine Einführung in Methoden zur praktischen Lösung mathematischer Probleme, wie der Lösung von Gleichungssystemen, der Bestimmung von Eigenwerten, der Approximation und Integration von Funktionen, der Lösung nichtlinearer Gleichungen und der näherungsweisen Lösung gewöhnlicher Differenzialgleichungen. Es ist in drei Teile gegliedert:  Lineare Gleichungssysteme, Eigenwertaufgaben und Optimierung  Interpolation, Quadratur und nichtlineare Gleichungen  Anfangswertprobleme und Hamiltonsche Systeme Jeder dieser Teile ist in neun kurze Kapitel unterteilt und entspricht etwa dem Umfang einer zweistündigen Vorlesung. Vorausgesetzt werden Grundkenntnisse aus der linearen Algebra und Analysis sowie elementare Programmiererfahrungen. Resultate der Analysis werden nur im zweiten und dritten Teil des Buchs verwendet. Lernziele, Tests zur Selbstüberprüfung und Anwendungsaufgaben am Ende jedes Kapitels sollen das Verständnis des dargestellten Materials vertiefen. Im Anhang des Buches finden sich umfangreiche Aufgabensammlungen, detaillierte Beschreibungen für Programmierprojekte, Einführungen in die Programmiersprachen MATLAB und C, Zusammenstellungen der wichtigsten Resultate aus der linearen Algebra und Analysis, einige Beispielprogramme, eine Liste weiterführender Themen sowie ausführliche Literaturhinweise. Das Buch richtet sich an Bachelor- und Lehramtsstudenten der Mathematik sowie Ingenieurs- und Naturwissenschaften. Der Autor: Prof. Dr. Sören Bartels, Universität Freiburg, Abteilung für Angewandte Mathematik .Springer-Lehrbuch,0937-7433Numerical analysisMatrix theoryAlgebraDifferential equationsNumerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Numerical analysis.Matrix theory.Algebra.Differential equations.Numerical Analysis.Linear and Multilinear Algebras, Matrix Theory.Ordinary Differential Equations.518Bartels Sörenauthttp://id.loc.gov/vocabulary/relators/aut755547BOOK9910483587703321Numerik 3x92850295UNINA