Interactive Multiobjective Decision Making Under Uncertainty

<p>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.</p>