Interactive Multiobjective Decision Making Under Uncertainty
Title | Interactive Multiobjective Decision Making Under Uncertainty PDF eBook |
Author | Hitoshi Yano |
Publisher | CRC Press |
Pages | 226 |
Release | 2017-02-03 |
Genre | Business & Economics |
ISBN | 1351678906 |
Recently, many books on multiobjective programming have been published. However, only a few books have been published, in which multiobjective programming under the randomness and the fuzziness are investigated. On the other hand, several books on multilevel programming have been published, in which multiple decision makers are involved in hierarchical decision situations. In this book, we introduce the latest advances in the field of multiobjective programming and multilevel programming under uncertainty. The reader can immediately use proposed methods to solve multiobjective programming and multilevel programming, which are based on linear programming or convex programming technique. Organization of each capter is summarized as follows. In Chapter 2, multiobjective programming problems with random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 3, multiobjective programming problems with fuzzy random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which not only the uncertainty of fuzzy random variables but also the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 4, multiobjective multilevel programming is discussed, and the interactive algorithms are developed to obtain a satisfactory solution, in which the hierarchical decision structure of multiple decision makers is reflected. In Chapter 5, two kinds of farm planning problems are solved by applying the proposed method, in which cost coefficients of crops are expressed by random variables.
Interactive Multiobjective Decision Making Under Uncertainty
Title | Interactive Multiobjective Decision Making Under Uncertainty PDF eBook |
Author | Hitoshi Yano |
Publisher | CRC Press |
Pages | 296 |
Release | 2017-02-03 |
Genre | Business & Economics |
ISBN | 1498763553 |
Recently, many books on multiobjective programming have been published. However, only a few books have been published, in which multiobjective programming under the randomness and the fuzziness are investigated. On the other hand, several books on multilevel programming have been published, in which multiple decision makers are involved in hierarchical decision situations. In this book, we introduce the latest advances in the field of multiobjective programming and multilevel programming under uncertainty. The reader can immediately use proposed methods to solve multiobjective programming and multilevel programming, which are based on linear programming or convex programming technique. Organization of each capter is summarized as follows. In Chapter 2, multiobjective programming problems with random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 3, multiobjective programming problems with fuzzy random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which not only the uncertainty of fuzzy random variables but also the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 4, multiobjective multilevel programming is discussed, and the interactive algorithms are developed to obtain a satisfactory solution, in which the hierarchical decision structure of multiple decision makers is reflected. In Chapter 5, two kinds of farm planning problems are solved by applying the proposed method, in which cost coefficients of crops are expressed by random variables.
Multiobjective Decision Making Under Uncertainty
Title | Multiobjective Decision Making Under Uncertainty PDF eBook |
Author | Tom Hemming |
Publisher | |
Pages | |
Release | 1978 |
Genre | |
ISBN |
Objectives and Multi-Objective Decision Making Under Uncertainty
Title | Objectives and Multi-Objective Decision Making Under Uncertainty PDF eBook |
Author | J. Wilhelm |
Publisher | Springer Science & Business Media |
Pages | 118 |
Release | 2012-12-06 |
Genre | Business & Economics |
ISBN | 3642463266 |
Lecture Notes in Physics
Title | Lecture Notes in Physics PDF eBook |
Author | Jochen Wilhelm |
Publisher | |
Pages | 111 |
Release | 1969 |
Genre | Coherence (Nuclear physics) |
ISBN | 9780387074122 |
Multiobjective Optimization
Title | Multiobjective Optimization PDF eBook |
Author | Jürgen Branke |
Publisher | Springer |
Pages | 481 |
Release | 2008-10-18 |
Genre | Computers |
ISBN | 3540889086 |
Multiobjective optimization deals with solving problems having not only one, but multiple, often conflicting, criteria. Such problems can arise in practically every field of science, engineering and business, and the need for efficient and reliable solution methods is increasing. The task is challenging due to the fact that, instead of a single optimal solution, multiobjective optimization results in a number of solutions with different trade-offs among criteria, also known as Pareto optimal or efficient solutions. Hence, a decision maker is needed to provide additional preference information and to identify the most satisfactory solution. Depending on the paradigm used, such information may be introduced before, during, or after the optimization process. Clearly, research and application in multiobjective optimization involve expertise in optimization as well as in decision support. This state-of-the-art survey originates from the International Seminar on Practical Approaches to Multiobjective Optimization, held in Dagstuhl Castle, Germany, in December 2006, which brought together leading experts from various contemporary multiobjective optimization fields, including evolutionary multiobjective optimization (EMO), multiple criteria decision making (MCDM) and multiple criteria decision aiding (MCDA). This book gives a unique and detailed account of the current status of research and applications in the field of multiobjective optimization. It contains 16 chapters grouped in the following 5 thematic sections: Basics on Multiobjective Optimization; Recent Interactive and Preference-Based Approaches; Visualization of Solutions; Modelling, Implementation and Applications; and Quality Assessment, Learning, and Future Challenges.
Fuzzy Multi-Criteria Decision Making
Title | Fuzzy Multi-Criteria Decision Making PDF eBook |
Author | Cengiz Kahraman |
Publisher | Springer Science & Business Media |
Pages | 591 |
Release | 2008-08-09 |
Genre | Computers |
ISBN | 0387768130 |
This work examines all the fuzzy multicriteria methods recently developed, such as fuzzy AHP, fuzzy TOPSIS, interactive fuzzy multiobjective stochastic linear programming, fuzzy multiobjective dynamic programming, grey fuzzy multiobjective optimization, fuzzy multiobjective geometric programming, and more. Each of the 22 chapters includes practical applications along with new developments/results. This book may be used as a textbook in graduate operations research, industrial engineering, and economics courses. It will also be an excellent resource, providing new suggestions and directions for further research, for computer programmers, mathematicians, and scientists in a variety of disciplines where multicriteria decision making is needed.