Inexact Fractional Optimization For Multicriteria Resources And Environmental Management Under Uncertainty
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Inexact Fractional Optimization For Multicriteria Resources And Environmental Management Under Uncertainty
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Author : Hua Zhu
language : en
Publisher:
Release Date : 2014
Inexact Fractional Optimization For Multicriteria Resources And Environmental Management Under Uncertainty written by Hua Zhu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Interactive Multiobjective Decision Making Under Uncertainty
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Author : Hitoshi Yano
language : en
Publisher: CRC Press
Release Date : 2017-02-03
Interactive Multiobjective Decision Making Under Uncertainty written by Hitoshi Yano and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-03 with Business & Economics categories.
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.
Development Of Inexact Optimization Methodologies For Resources And Environmental Management Under Dual Uncertainties
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Author : Shuo Wang
language : en
Publisher:
Release Date : 2010
Development Of Inexact Optimization Methodologies For Resources And Environmental Management Under Dual Uncertainties written by Shuo Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Environmental management categories.
Resources and environmental management has been of substantial concerns due to the rapid socio-economic development associated with increasing pollution problems and decreasing resources availabilities. Effective management technologies are necessary to assist decision makers (DMs) in regulating sustainable development plans. Although a number of optimization techniques have been proposed in response to these concerns, advanced methods are desired for dealing with various uncertainties that exist in resources and environmental management systems.
Uncertain Multi Criteria Optimization Problems
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Author : Dragan Pamučar
language : en
Publisher:
Release Date : 2021
Uncertain Multi Criteria Optimization Problems written by Dragan Pamučar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Most real-world search and optimization problems naturally involve multiple criteria as objectives. Generally, symmetry, asymmetry, and anti-symmetry are basic characteristics of binary relationships used when modeling optimization problems. Moreover, the notion of symmetry has appeared in many articles about uncertainty theories that are employed in multi-criteria problems. Different solutions may produce trade-offs (conflicting scenarios) among different objectives. A better solution with respect to one objective may compromise other objectives. There are various factors that need to be considered to address the problems in multidisciplinary research, which is critical for the overall sustainability of human development and activity. In this regard, in recent decades, decision-making theory has been the subject of intense research activities due to its wide applications in different areas. The decision-making theory approach has become an important means to provide real-time solutions to uncertainty problems. Theories such as probability theory, fuzzy set theory, type-2 fuzzy set theory, rough set, and uncertainty theory, available in the existing literature, deal with such uncertainties. Nevertheless, the uncertain multi-criteria characteristics in such problems have not yet been explored in depth, and there is much left to be achieved in this direction. Hence, different mathematical models of real-life multi-criteria optimization problems can be developed in various uncertain frameworks with special emphasis on optimization problems.
Multicriteria Optimization With Uncertainty In The Dynamics
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Author : W. E. Schmitendorf
language : en
Publisher:
Release Date : 1977
Multicriteria Optimization With Uncertainty In The Dynamics written by W. E. Schmitendorf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Optimal control problems with a vector performance index and uncertainty in the state equations are investigated. It is assumed that nature chooses the uncertainty, subject to bounds, to maximize the performance index which the controller attempts to minimize. Using Pareto optimality as the optimality criterion, sufficient conditions for an optimal solution are presented. The conditions also suggest a technique for determining the optimal control. The results are illustrated with an example. (Author).