A modified fuzzy approach for the fully fuzzy multi-objective and multi-level integer quadratic programming problems based on a decomposition technique

2019 ◽  
Vol 37 (2) ◽  
pp. 2727-2739 ◽  
Author(s):  
E. Fathy
Keyword(s):  
Quadratic Programming ◽  
Decomposition Technique ◽  
Fuzzy Approach ◽  
Multi Objective ◽  
Integer Quadratic Programming ◽  
Quadratic Programming Problems ◽  
Multi Level

scholarly journals A Multi-Level Multi-Objective Quadratic Programming Problem with Fuzzy Parameters on Objective Functions

2016 ◽  
Vol 15 (5) ◽  
pp. 6738-6748 ◽  
Author(s):  
Usama Emam
Keyword(s):  
Quadratic Programming ◽  
Programming Problem ◽  
Decision Model ◽  
Fuzzy Numbers ◽  
Quadratic Programming Problem ◽  
Objective Functions ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Multi Level ◽  
Fuzzy Parameters

This paper proposes an algorithm to solve multi-level multi-objective quadratic programming problem with fuzzy parameters in the objective functions, This algorithm uses the tolerance membership function concepts and multi-objective optimization at each level to develop a fuzzy Max-Min decision model for generating satisfactory solution after applying linear ranking method on trapezoidal fuzzy numbers in the objective functions, An illustrative example is included to explain the results.

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