scholarly journals Duality for Multiobjective Fractional Programming Involving n-Set Functions

1994 ◽  
Vol 186 (3) ◽  
pp. 747-768 ◽  
Author(s):  
C.R. Bector ◽  
D. Bhatia ◽  
S. Pandey
Keyword(s):  
Fractional Programming ◽  
Multiobjective Fractional Programming ◽  
Set Functions

scholarly journals On a general duality model in multiobjective fractional programming with n-set functions

2011 ◽  
Vol 54 (1-2) ◽  
pp. 490-496 ◽  
Author(s):  
Vasile Preda ◽  
Ioan M. Stancu-Minasian ◽  
Miruna Beldiman ◽  
Andreea-Madalina Stancu
Keyword(s):  
Fractional Programming ◽  
Multiobjective Fractional Programming ◽  
Set Functions ◽  
Duality Model ◽  
General Duality

scholarly journals Duality for multiobjective fractional programming problems involving d -type-I n-set functions

2009 ◽  
Vol 19 (1) ◽  
pp. 63-73
Author(s):  
I.M. Stancu-Minasian ◽  
Gheorghe Dogaru ◽  
Mădălina Stancu
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Generalized Convexity ◽  
Type I ◽  
Multiobjective Fractional Programming ◽  
Fractional Programming Problem ◽  
Duality Results ◽  
Set Functions ◽  
Convexity Assumptions ◽  
Nonlinear Fractional Programming

We establish duality results under generalized convexity assumptions for a multiobjective nonlinear fractional programming problem involving d -type-I n -set functions. Our results generalize the results obtained by Preda and Stancu-Minasian [24], [25].

APPROXIMATE EFFICIENCY FOR n-SET MULTIOBJECTIVE FRACTIONAL PROGRAMMING

2004 ◽  
Vol 21 (02) ◽  
pp. 197-206 ◽  
Author(s):  
NARENDER KUMAR ◽  
R. K. BUDHRAJA ◽  
APARNA MEHRA
Keyword(s):  
Fractional Programming ◽  
Sufficient Conditions ◽  
Approximate Solutions ◽  
Efficient Solutions ◽  
Parametric Approach ◽  
Multiobjective Fractional Programming ◽  
Set Functions ◽  
New Concepts ◽  
Multiobjective Fractional Programming Problem ◽  
Necessary And Sufficient

In this paper, we introduce new concepts of ε-weak efficient solutions and ε-efficient solutions for a nonconvex multiobjective fractional programming problem involving n-set functions. Using an ε-parametric approach and a new theorem of alternative for nonconvex n-set functions, some necessary and sufficient conditions for ε-approximate solutions are derived

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