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fractional programming (FP)

Non differentiable minimax fractional programming with higher order type Ifunctions

Non differentiable minimax fractional programming with higher order type Ifunctions

... The notion of higher-order (F, α, ρ, d)-pseudoquasi-type I is adopted, which includes many other generalized convexity concepts in mathematical programming as special cases. This concept is appropriate to discuss ...

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Parametric continuous time linear fractional programming problems

Parametric continuous time linear fractional programming problems

... linear fractional programming problems, it does not lose the generality because the weak and strong duality theorems have been proven to hold true between the problems (CLFP) and (DCFLP) as shown in Wen and ...

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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 are determined by considering the individual best and worst objective values of each objective in the decision making ...conventional fractional programming approach [6, 18] ...

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Solving the Interval Valued Linear Fractional Programming Problem

Solving the Interval Valued Linear Fractional Programming Problem

... [10] P. Pandey and A. P. Punnen, “A Simplex Algorithm for Piecewise-Linear Fractional Programming Problems,” European Journal of Operational Research, Vol. 178, No. 2, 2007, pp. 343-358. ...

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A Complementary Slackness Theorem for Linear Fractional Programming Problem

A Complementary Slackness Theorem for Linear Fractional Programming Problem

... Remark 1 : Swarup and Sharma [10] have considered a primal problem in which constant term does not appear in both the numerator and denominator of the objective function. They proposed a linear fractional ...

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On Fuzzy Multi-objective Linear Fractional Programming Problems

On Fuzzy Multi-objective Linear Fractional Programming Problems

... linear fractional programming problem by expanding the each objective function using first order Taylor’s theorem about the point at which the function attains the maximum ...linear fractional ...

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On Solving Fuzzy Rough Linear Fractional Programming Problem

On Solving Fuzzy Rough Linear Fractional Programming Problem

... linear fractional programming problem by using graded mean integration representation method " Applications and Applied Mathematics, vol 10 , (2015), ...

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Chance Constrained Multi-Objective Linear Plus Linear Fractional Programming Problem Based on Taylor’s Series Approximation

Chance Constrained Multi-Objective Linear Plus Linear Fractional Programming Problem Based on Taylor’s Series Approximation

... linear fractional programming problem with random variables is ...the fractional objectives into linear forms first order Taylor’s series approximation is ...linear fractional ...

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Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System

Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System

... using fractional programming clearly shows the superiority of achievement of various goals under taken in the ...of fractional programming using the simple linearization of fractional ...

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Multiobjective Quadratic Fractional Programming using Iterative Parametric Function

Multiobjective Quadratic Fractional Programming using Iterative Parametric Function

... quadratic fractional optimisation problem with a set of quadratic constraints and a methodology for obtaining a set of solutions based on the approach of using iterative parametric ...each fractional ...

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Utilizing Of Fractional Programming For Multi  Objective Multi  Item Solid Transportation Problems In Fuzzy Environment

Utilizing Of Fractional Programming For Multi Objective Multi Item Solid Transportation Problems In Fuzzy Environment

... In this paper, a fully fuzzymulti - objective linear fractional programming is applied for multi solid transportation (FFMOMISTP) problem. To minimize the problem, the order relations which represent the ...

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Duality in nondifferentiable minimax fractional programming with B (p, r)  invexity

Duality in nondifferentiable minimax fractional programming with B (p, r) invexity

... In this article, we are motivated by Lai et al. [10], Lai and Lee [11], and Antczak [17] to discuss sufficient optimality conditions and duality theorems for a nondifferentiable minimax fractional ...

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A New Approach for Solving Linear Fractional Programming Problems with Duality Concept

A New Approach for Solving Linear Fractional Programming Problems with Duality Concept

... linear fractional programming problem which does not depend on the simplex type method because method based on vertex information may have difficulties as the problem size increases; this method may prove ...

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Semilocal E preinvexity and its applications in nonlinear multiple objective fractional programming

Semilocal E preinvexity and its applications in nonlinear multiple objective fractional programming

... JHH proposed the concept of semilocal E-preinvex functions and discussed some of its important properties. Additionally, JHH carried out the studies of optimality and duality for a nonlinear multiobjective ...

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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 ...multiobjective fractional programming problem and established weak and strong dua- lity ...tional programming problems, and proved duality ...

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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 (TLMOQPP) then these fuzzy objectives are taken as the fuzzy goals and those goals are evaluated as the fractional membership functions by defining the ...

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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

... nondifferentiable fractional problem has been estab- ...nondifferentiable fractional programming problem and established usual duality relations under the aforesaid ...

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

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

... quadratic fractional programming problem by using interactive fuzzy goal programming procedure and this study can be extended to solve nonlinear multilevel and nonlinear multiobjective ...

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A necessary condition for multiple objective fractional programming

A necessary condition for multiple objective fractional programming

... The point-function counterparts of (P) are known in the area of mathematical programming as multi-objective fractional programming problems. These problems have been the focus of interest in the past ...

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Duality in Nonlinear Fractional Programming Problem Using Fuzzy Programming and Genetic Algorithm

Duality in Nonlinear Fractional Programming Problem Using Fuzzy Programming and Genetic Algorithm

... nonlinear fractional programming problem under ...fuzzy programming procedure to solve nonlinear fractional programming problems in which the parameters involved in objective function ...

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