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Interactive Multiobjective Decision Making Under Uncertainty

Hitoshi Yano (Nagoya City University, Japan)

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Productivity Press
18 November 2016
Operational research; Probability & statistics; Non-linear science; Automatic control engineering
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.
By:   Hitoshi Yano (Nagoya City University Japan)
Imprint:   Productivity Press
Country of Publication:   United States
Dimensions:   Height: 234mm,  Width: 156mm, 
Weight:   544g
ISBN:   9781498763547
ISBN 10:   1498763545
Pages:   295
Publication Date:   18 November 2016
Audience:   General/trade ,  College/higher education ,  ELT Advanced ,  Primary
Format:   Hardback
Publisher's Status:   Active
Introduction Multiobjective decision making problems (MOPs) Multiobjective decision making problems (MOPs) under uncertainty Content organization Multiobjective Stochastic Programming Problems (MOSPs) Fuzzy approaches for MOSPs with a special structure Fuzzy approaches for MOSPs with variance covariance matrices Interactive decision making for MOSPs with a special structure Interactive decision making for MOSPs with variance covariance matrices Multiobjective Fuzzy Random Programming Problems (MOFRPs) Interactive decision making for MOFRPs with a special structure Interactive decision making for MOFRPs with variance covariance matrices Interactive decision making for MOFRPs using an expectation variance model Interactive decision making for MOFRPs with simple recourse Hierarchical Multiobjective Programming Problems (HMOPs) Involving Uncertainty Conditions Hierarchical multiobjective stochastic programming problems (HMOSPs) using a probability model Hierarchical multiobjective stochastic programming problems (HMOSPs) using a fractile model Hierarchical multiobjective stochastic programming problems (HMOSPs) based on the fuzzy decision Hierarchical multiobjective fuzzy random programming problems (HMOFRPs) based on the fuzzy decision Multiobjective Two-Person Zero-Sum Games Two-person zero-sum games with vector payoffs Two-person zero-sum games with vector fuzzy payoffs Numerical examples Generalized Multiobjective Programming Problems (GMOPs) GMOPs with a special structure GMOPs with variance covariance matrices Applications in Farm Planning A farm planning problem in Japan A farm planning problem in the Philippines A farm planning problem with simple recourse in the Philippines A vegetable shipment problem in Japan

Hitoshi Yano received his B.E. and M.E. degrees in systems engineering at Kobe University in 1980 and 1982, respectively, and his D.E. degree from Osaka University in 1988. From 1983 to 1989, he was a Research Associate in the Faculty of Economics at Kagawa University. From 1989 to 1996, he was an Associate Professor at Nagoya Municipal Women's College. From 1996 to 2004, he was an Associate Professor in the School of Humanities and Social Sciences at Nagoya City University. He is currently a Professor in the Graduate School of Humanities and Social Sciences at Nagoya City University. He won Best Paper Awards from the IAENG International Conference on Operations Research in 2011, 2013, and 2014.

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