Hierarchical optimization: a satisfactory solution
Fuzzy Sets and Systems
Fuzzy approach for multi-level programming problems
Computers and Operations Research
The relationship between goal programming and fuzzy programming
Fuzzy Sets and Systems
Compensatory fuzzy multiple level decision making
Fuzzy Sets and Systems
Fuzzy and Multi-Level Decision Making: And Interactive Computational Approach
Fuzzy and Multi-Level Decision Making: And Interactive Computational Approach
Interactive fuzzy programming for decentralized two-level linear programming problems
Fuzzy Sets and Systems - Theme: Decision and optimization
A Fuzzy Goal Programming Approach for Solving Bilevel Programming Problems
AFSS '02 Proceedings of the 2002 AFSS International Conference on Fuzzy Systems. Calcutta: Advances in Soft Computing
Fuzzy programming approach to multi-level programming problems
Fuzzy Sets and Systems - Theme: Multicriteria decision
Information Sciences: an International Journal
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This paper presents fuzzy goal programming (FGP) algorithm for solving decentralized bi-level multi-objective programming (DBL-MOP) problems with a single decision maker at the upper level and multiple decision makers at the lower level. A FGP algorithm for DBL-multi-objective linear programming (DBL-MOLP) problems is proposed. This algorithm is extended to solve bi-level multi-objective linear fractional programming (DBL-MOLFP) problems. In the proposed algorithm, the membership functions for the defined fuzzy goals of all objective functions at the two levels as well as the membership functions for vector of fuzzy goals of the decision variables controlled by ULDM are developed in the model formulation of the problem. Then FGP approach is used to achieve highest degree of each of the membership goals by minimizing their deviational variables and thereby obtaining the most satisfactory solution for all decision makers. Illustrative numerical examples are given to demonstrate the proposed algorithm.