Interactive Multiobjective Decision Making Under Uncertainty: 1st Edition (Hardback) book cover

Interactive Multiobjective Decision Making Under Uncertainty

1st Edition

By Hitoshi Yano

CRC Press

295 pages

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Hardback: 9781498763547
pub: 2016-11-18
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Description

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.

Table of Contents

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

About the Author

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.

Subject Categories

BISAC Subject Codes/Headings:
BUS049000
BUSINESS & ECONOMICS / Operations Research
MAT003000
MATHEMATICS / Applied
TEC009000
TECHNOLOGY & ENGINEERING / Engineering (General)