Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
type: Item
instance of: scholarly article
title: Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
zbMATH Open document ID: 0643.90045
author: Po-Lung Yu
published in: Mathematical Concepts and Methods in Science and Engineering
publication date: 1985-01-01T00:00:00Z
review text: Chapter and selective section titles: (1) Introduction; (2) Binary relations; (3) Pareto optimal or efficient solutions: convexity, proper efficiency, differentiability, decomposition theorems, optimality conditions; (4) Goal setting and compromise solutions: satisficing solutions, interactive methods, computations; (5) Value function: revealed preference, additivity, monotonicity, separability; (6) Some basic techniques for constructing value functions: indifference curves, tangent planes, gradients, approximation; (7) Domination structures and nondominated solutions: cones, polars, duality, interactive approximations; (8) Linear cases, MC- and \(MC^ 2\)-simplex methods: optimal weights, nondominated faces, separation, adjacency, connectedness; (9) Behavioral bases and habitual domains of decision making: internal information processing, least resistence principle, social psychology, Halo effect, negatiation, gaming; (10) Further topics: interactive methods, adapted gradient search, surrogate worth trade off, uncertain outcomes, stochastic dominance, mean-variance dominance, utility dominance, multicriteria dynamic optimization, optimal control, second-order games.
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 91B16
Mathematics Subject Classification ID: 91A35
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90-01
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 91A40
zbMATH DE Number: 4049376
zbMATH Keywords: Binary relations
zbMATH Keywords: Pareto optimal
zbMATH Keywords: efficient solutions
zbMATH Keywords: optimality conditions
zbMATH Keywords: compromise solutions
zbMATH Keywords: satisficing solutions
zbMATH Keywords: interactive methods
zbMATH Keywords: tangent planes
zbMATH Keywords: gradients
zbMATH Keywords: approximation
zbMATH Keywords: cones
zbMATH Keywords: polars
zbMATH Keywords: duality
zbMATH Keywords: optimal weights
zbMATH Keywords: habitual domains
zbMATH Keywords: negatiation
zbMATH Keywords: gaming
zbMATH Keywords: adapted gradient search
zbMATH Keywords: surrogate worth trade off
zbMATH Keywords: uncertain outcomes
zbMATH Keywords: stochastic dominance
zbMATH Keywords: utility dominance
zbMATH Keywords: multicriteria dynamic optimization
zbMATH Keywords: optimal control
zbMATH Keywords: second-order games
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4049376