multiobjective programming
Sufficiency and Wolfe Type Duality for Nonsmooth Multiobjective Programming Problems
... DOI: 10.4236/apm.2018.88045 756 Advances in Pure Mathematics new generalizations of the concept of ( φ ρ , ) -invexity and established the neces- sary and sufficient optimality conditions for a class of nonsmooth ...
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Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity
... Bhatia and Sahay [] introduced the following notion of a strict minimizer of order σ with respect to a nonlinear function for the multiobjective programming problem. Definition . A point x ¯ ∈ X is a ...
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Optimality Conditions in Nondifferentiable G Invex Multiobjective Programming
... nondifferentiable multiobjective programming problems in which each component of the objective function contains a term involving the support function of a compact convex ...
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A Weaker Constraint Qualification of Globally Convergent Homotopy Method for a Multiobjective Programming Problem
... a multiobjective programming problem introduced in ...the multiobjective programming problem is proved to be globally ...Keywords: Multiobjective Programming Problem; Homotopy ...
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Levitin Polyak well posedness for generalized semi infinite multiobjective programming problems
... In this paper, we introduce a notion of Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems in terms of weakly efficient solutions. We obtain some metric ...
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Solution Concepts and New Optimality Conditions in Bilevel Multiobjective Programming
... bilevel multiobjective optimization, in the general case were both the higher and the lower level problems are ...level) multiobjective optimization problems (MOP), we established new sufficient optimal- ...
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Efficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative
... component of the objective and constraint functions is directionally differentiable in its own direction and es- tablished the necessary and sufficient conditions for effi- cient and properly efficient solutions. The ...
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Solving Bilevel Linear Multiobjective Programming Problems
... Solving multiobjective programming problems consists in general to find a finite subset of the efficient set and present them for evaluation to the decision maker ...
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Multiobjective Programming Problem Involving (p,r)-Type I Functions
... Hanson [11] introduced the concept of invexity in con- strained optimization as a generalization of convexity. These functions were named invex by Craven [8]. Hanson and Mond [12] introduced two new classes of functions ...
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Symmetric duality for a class of multiobjective programming
... ferentiable multiobjective programs in ...nondifferentiable multiobjective programming problems is formulated and appropri- ate duality theorems are established under suitable generalized invexity ...
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Multiobjective Programming With Continuous Genetic Algorithm
... in multiobjective optimization the notion of ...in multiobjective programming that is studied by different scholars, In solving scalarized problems which are obtained by weighting sum of objective ...
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Symmetric duality for a higher order nondifferentiable multiobjective programming problem
... higher-order multiobjective nondifferentiable symmetric dual program have been formulated and we established weak, strong, and con- verse duality theorems under K -F convexity ...
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Fuzzy Goal Programming Procedure to Bilevel Multiobjective Linear Fractional Programming Problems
... linear programming 2–5, and many others for bilevel nonlinear programming and bi-level multiobjective programming 2, ...bi-level programming in both linear and non-linear cases, which ...
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Multiobjective Stochastic Linear Programming: An Overview
... There is a rich array of methods that can be used to deal with both Multiobjective Programming and Stochas- tic Programming problems. This paper has somewhat demonstrated that, the Howards view ...
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Random Fuzzy Multiobjective Linear Programming Through Probability Maximization
... stochastic programming approaches [1], [2], [3], [7] and fuzzy pro- gramming approaches [13], [17], [18] have been ...mathematical programming problems involving the randomness and the fuzziness, ran- dom ...
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Nonconvex composite multiobjective nonsmooth fractional programming
... nonsmooth multiobjective programming problems involving locally Lipschitz ...the multiobjective fractional ...nonsmooth multiobjective fractional programming ...for ...
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Interactive Fuzzy Decision Making for Hierarchical Multiobjective Stochastic Linear Programming Problems
... hierarchical multiobjective stochastic linear programming problems, and propose an interactive algorithm to obtain a satisfactory solution from among a Pareto optimal solution ...hierarchical ...
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Higher order symmetric duality for a class of multiobjective fractional programming problems
... for multiobjective fractional programming problem and established weak and strong dua- lity ...nondifferentiable multiobjective frac- tional programming problems, and proved duality theorems ...
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An Optimum Multivariate-Multiobjective Stratified Sampling Design: Fuzzy Programming Approach
... as multiobjective nonlinear programming problem (MNLPP) to obtain a compromise allocation by minimizing the variances of the estimates of p-population means simultaneously for prefixed budget of the ...The ...
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Multiobjective Fuzzy Random Linear Programming Problems Based on Coefficients of Variation
... for Multiobjective Fuzzy Random Linear Programming Problems Using Expectations and Coefficients of Variation, Lecture Notes in Engineering and Computer Science: Proceedings of The International ...
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