An Interactive Fuzzy Satisficing Method for Multiobjective Nonlinear Integer Programming Problems with Block-angular Structures through Genetic Algorithms with Decomposition Procedures

An Interactive Fuzzy Satisficing Method for Multiobjective Nonlinear Integer Programming Problems with Block-angular Structures through Genetic Algorithms with Decomposition Procedures

Authors:   Sakawa M, Kato K

Publication Year:   2009

Reference:  IIASA Interim Report IR-09-014

Abstract

This paper considers multiobjective nonlinear integer programming problems with block-angular structures. Considering the vague nature of the decision makers judgments, an interactive fuzzy satisficing method is presented. Realizing the special structures that can be exploited in solving problems, genetic algorithms with decomposition procedures are also proposed.
KEYWORDS: Multiobjective programming; Fuzzy programming; Nonlinear integer programming; Block-angular structures; Genetic algorithms; Decomposition

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