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

We focus on multiobjective nonlinear integer programming problems with block-angular structures which are often seen as a mathematical model of large-scale discrete systems optimization. By considering the vague nature of the decision maker’s judgments, fuzzy goals of the decision maker are introduced, and the problem is interpreted as maximizing an overall degree of satisfaction with the multi...

An interactive fuzzy satisficing method for multiobjective integer programming problems through genetic algorithms

Interactive Fuzzy Programming for Multiobjective Two-level Nonlinear Integer Programming Problems through Genetic Algorithms

In the present paper, we consider multiobjective two-level nonlinear integer programming problems (MOTLNLIPPs) in which the decision maker (DM) at each level controls his own integer decision variables to optimize multiple objective functions. Various approaches for multi-level programming problems could exist according to situations which the DMs are placed in. In this paper, it is assumed tha...

An Interactive Fuzzy Satisficing Method for Multiobjective Stochastic Integer Programming Problems through Variance Minimization Model

In this paper, we focus on multiobjective integer programming problems with random variable coefficients in objective functions and/or constraints. For such multiobjective problems, after reformulation of them on the basis of an expectation optimization model and a variance minimization model for the chance constrained programming, incorporating fuzzy goals of the decision maker for the objecti...

An Interactive Fuzzy Satisficing Method for Multiobjective Stochastic Integer Programming Problems through Simple Recourse Model

Two major approaches to deal with randomness or impression involved in mathematical programming problems have been developed. The one is called stochastic programming, and the other is called fuzzy programming. In this paper, we focus on multiobjective integer programming problems involving random variable coefficients in constraints. Using the concept of simple recourse, such multiobjective st...