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Interactive fuzzy decision making for hierarchical multiobjective linear programming problems using reference membership intervals.
| Content Provider | CiteSeerX |
|---|---|
| Author | Yano, Hitoshi |
| Abstract | Abstract In this paper, we focus on hierarchical multiobjective linear programming problems where multiple decision makers in a hierarchical organiza-tion have their own multiple objective linear functions together with common linear constraints, and propose an interactive decision making method to obtain a sat-isfactory solution which re ects not only the hierar-chical relationships between multiple decision makers but also their own preferences for their membership functions. In the proposed method, instead of Pareto optimal concept, a generalized -extreme point con-cept is introduced. In order to obtain a satisfactory solution from among a generalized -extreme point set, an interactive algorithm based on linear program-ming is proposed, and an interactive processes are demonstrated by means of an illustrative numerical example. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Interactive Fuzzy Decision Making Multiple Decision Maker Hierarchical Organiza-tion Hierar-chical Relationship Generalized Extreme Point Con-cept Linear Program-ming Interactive Decision Generalized Extreme Point Common Linear Constraint Interactive Process Membership Function Sat-isfactory Solution Illustrative Numerical Example Satisfactory Solution Interactive Algorithm Hierarchical Multiobjective Linear Programming Problem Pareto Optimal Concept Multiple Objective Linear Function |
| Content Type | Text |