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Multiobjective Fractional Programming

Optimality and duality results for E differentiable multiobjective fractional programming problems under E convexity

Optimality and duality results for E differentiable multiobjective fractional programming problems under E convexity

... nonlinear programming more than one ratio of two functions is to be minimized or ...called multiobjective fractional programming problems. Fractional programming has an important ...

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Sufficiency and duality in multiobjective fractional programming problems involving generalized type I functions

Sufficiency and duality in multiobjective fractional programming problems involving generalized type I functions

... in fractional vector optimization ...of fractional vector optimization problems ...differentiable multiobjective programming under a constraint ...to multiobjective fractional ...

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Duality Relations for a Class of a Multiobjective Fractional Programming Problem Involving Support Functions

Duality Relations for a Class of a Multiobjective Fractional Programming Problem Involving Support Functions

... differentiable multiobjective fractional programming (MFP) with higher-order terms in which each numerator and denominator of the objective function contains the support function of a com- pact ...

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Dinkelbach Approach for Solving Interval valued Multiobjective Fractional Programming Problems using Goal Programming

Dinkelbach Approach for Solving Interval valued Multiobjective Fractional Programming Problems using Goal Programming

... goal programming approach for solving multiobjective fractional programming ...valued fractional objective goals are transformed into linear goals by employing the iterative parametric ...

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Optimality and duality results for a nondifferentiable multiobjective fractional programming problem

Optimality and duality results for a nondifferentiable multiobjective fractional programming problem

... for multiobjective fractional programming ...[], multiobjective fractional problem and its duality theorems have been considered under higher-order (F, α, ρ, d)- ...higher-order ...

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Higher order symmetric duality for a class of multiobjective fractional programming problems

Higher order symmetric duality for a class of multiobjective fractional programming problems

... dual fractional programs with certain convexity ...for multiobjective fractional programming problem and established weak and strong dua- lity ...nondifferentiable multiobjective frac- ...

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Some sufficient efficiency conditions in semiinfinite multiobjective fractional programming based on exponential type invexities

Some sufficient efficiency conditions in semiinfinite multiobjective fractional programming based on exponential type invexities

... multiple fractional objective functions have been studied leading to a number of sufficient efficiency and duality results currently available in the related ...of multiobjective programming, the ...

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Multiobjective Quadratic Fractional Programming using Iterative Parametric Function

Multiobjective Quadratic Fractional Programming using Iterative Parametric Function

... Non-linear fractional programming ...quadratic programming. Lachhwani [6] presented FGP approach to multiobjective fractional programming ...quadratic fractional ...

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Symmetric Duality for Bonvex Multiobjective Fractional Continuous Time Programming Problems

Symmetric Duality for Bonvex Multiobjective Fractional Continuous Time Programming Problems

... problem Multiobjective fractional programming Primal (MFP) and Multiobjective fractional programming Dual (MFD) , the numerators are nonnegative and denominators are positive ; ...

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DUALITY IN MULTIOBJECTIVE FRACTIONAL PROGRAMING UNDER GENERALIZED UNIVEX FUNCTION

DUALITY IN MULTIOBJECTIVE FRACTIONAL PROGRAMING UNDER GENERALIZED UNIVEX FUNCTION

... differentiable multiobjective fractional programming problem in which the numerator of objective function contains square root of positive semi definite quadratic ...

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Nonconvex composite multiobjective nonsmooth fractional programming

Nonconvex composite multiobjective nonsmooth fractional programming

... nonsmooth multiobjective programming problems involving locally Lipschitz ...the multiobjective fractional ...a fractional function, Kim [] obtained necessary and sufficient optimality ...

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Duality without constraint qualification in nonsmooth optimization

Duality without constraint qualification in nonsmooth optimization

... scalar-valued programming prob- lems where the usual convexity requirement for duality was relaxed and a constraint qual- ification was not ...convex multiobjective programming and a convex/concave ...

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SOME OPTIMALITY AND DUALITY RESULTS FOR AN EFFICIENT SOLUTION OF MULTIOBJECTIVE NONLINEAR FRACTIONAL PROGRAMMING PROBLEM

SOME OPTIMALITY AND DUALITY RESULTS FOR AN EFFICIENT SOLUTION OF MULTIOBJECTIVE NONLINEAR FRACTIONAL PROGRAMMING PROBLEM

... is multiobjective non-linear fractional programming problem involving semilocally convex and related ...of multiobjective fractional programming and corresponding scalar ...

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A Solution of Fuzzy Trilevel Quadratic Fractional Programming Problem through Interactive Fuzzy Goal Programming Approach

A Solution of Fuzzy Trilevel Quadratic Fractional Programming Problem through Interactive Fuzzy Goal Programming Approach

... Quadratic Fractional Programming Problem (TLQFPP) through Fuzzy Goal Programming ...quadratic fractional programming problem with three levels and fuzzy TLQFPP contains fuzzy parameters ...

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Tikhonov Regularization as a Complexity Measure in Multiobjective Genetic Programming

Tikhonov Regularization as a Complexity Measure in Multiobjective Genetic Programming

... Second, although minimizing some risk over a training set might be naively pre- sumed to yield the best test error, from the arguments concerning regularization and model selection set-out above, it is clear from ...

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An exact method for a discrete multiobjective linear fractional optimization

An exact method for a discrete multiobjective linear fractional optimization

... programming problem. The described method solves MOILFP problems in the general case. However, in order to make the algorithm more powerful, the tree structure of the algorithm can be exploited for construction of ...

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A Fuzzy Approach for Hierarchical Multiobjective Linear Programming Problems

A Fuzzy Approach for Hierarchical Multiobjective Linear Programming Problems

... 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 ...

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Optimality and mixed duality in multiobjective E convex programming

Optimality and mixed duality in multiobjective E convex programming

... This paper also addresses a counterexample of Theorem . in Youness []. Character- ization of efficient solutions based on the modification of Theorem . in Youness [] is presented. A sufficient optimality theorem is ...

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Optimality Conditions in Nondifferentiable G Invex Multiobjective Programming

Optimality Conditions in Nondifferentiable G Invex Multiobjective Programming

... nondifferentiable multiobjective programs with inequality and equality constraints in which each component of the objective function contains a term involving the support function of a compact convex ...

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Symmetric duality for nondifferentiable multiobjective fractional variational problems involving cones

Symmetric duality for nondifferentiable multiobjective fractional variational problems involving cones

... We introduce a pair of symmetric dual problems for nondifferentiable multiobjective fractional variational problems with cone constraints over arbitrary cones. On the basis of weak efficiency, we obtain ...

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