Optimality and duality for a multi-objective programming problem involving generalized d-type-I and related n-set functions

2006 ◽  
Vol 173 (2) ◽  
pp. 405-418 ◽  
Author(s):  
S.K. Mishra ◽  
S.Y. Wang ◽  
K.K. Lai
Keyword(s):  
Programming Problem ◽  
Type I ◽  
Multi Objective ◽  
Set Functions ◽  
Multi Objective Programming ◽  
Optimality And Duality ◽  
Objective Programming

scholarly journals Optimality and duality for complex multi-objective programming

2022 ◽  
Vol 12 (1) ◽  
pp. 121
Author(s):  
Tone-Yau Huang ◽  
Tamaki Tanaka
Keyword(s):  
Optimality Conditions ◽  
Programming Problem ◽  
Efficient Solutions ◽  
Dual Model ◽  
Duality Theorems ◽  
Multi Objective ◽  
Multi Objective Programming ◽  
Optimality And Duality ◽  
Objective Programming

<p style='text-indent:20px;'>We consider a complex multi-objective programming problem (CMP). In order to establish the optimality conditions of problem (CMP), we introduce several properties of optimal efficient solutions and scalarization techniques. Furthermore, a certain parametric dual model is discussed, and their duality theorems are proved.</p>

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