05473nam 2200649Ia 450 991045434070332120200520144314.01-281-92816-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 makingElectronic books.Decision makingMathematical models.Computer programmingDecision making.519.7Kolbin V. V(Vi͡acheslav Viktorovich),1941-950210MiAaPQMiAaPQMiAaPQBOOK9910454340703321Decision making and programming2148238UNINA