[PDF] Top 20 Multiobjective Programming Problem Involving (p,r)-Type I Functions

... These functions were named invex by Craven ...of functions called Type I and Type II functions, which were further generalized to pseudo Type I and quasi ... See full document

... B-(p, r)-invexity and generalized B-(p, r)-invexity in ...dual problem under B-(p, r)-invexity ...(p, r)-invexity, (, r)-invexity, which is called ... See full document

... convex functions, Avriel [] first introduced the defi- nition of r-convex functions and established some characterizations and the relations be- tween r-convexity and other generalization of ... See full document

... -type I function-a gen- eralization of ...V-type I func- tions [], (F, α, ρ, d)-convex functions [], and type I functions ... See full document

... Wolfe type higher-order nondifferentiable symmetric dual programs over arbitrary cones has been studied and then well-suited duality relations have been established considering K-F convexity ... See full document

... nondifferentiable multiobjective fractional primal and dual programming problem involving square roots of positive semi definite quadratic ...this type of problem are ... See full document

... optimal problem (SOOP) with inequality constrains; and it is proved that, under some conditions, an optimal solution to SOOP is a Pareto efficient solution to ... See full document

... in multiobjective programming problems have attracted many researchers in recent ...of multiobjective optimization ...a multiobjective programming problem and characterized it ... See full document

... d-type I func- tions in terms of directional derivative for a multiobjec- tive programming problem and discussed Wolfe type and Mond-Weir type duality ...non-smooth ... See full document

... Abstract—In this paper, we propose an interactive decision making method for random fuzzy multiobjective linear pro- gramming problems (RFMOLP) through a probability maxi- mization model. In the proposed method, ... See full document

... the problem under consideration is multiobjective non-linear fractional programming problem involving semilocally convex and related ...sets involving properly efficient ... See full document

... bi-objective programming problem is considered; the objective functions are convex with positive semi definite matrices P and Q on minimization type of problems and the second objective ... See full document

... problems involving uncertainty, stochastic program- ming approaches [1], [2], [3], [10] and fuzzy programming approaches [16], [20], [25] have been ...mathematical programming problems ... See full document

... H x y t = h t x t y t In the derivation of these optimality condition, some constraint qualification to make the equality constraint locally solvable [2] and hence the Fréchét derivative of Dx − H x u ( ) , = Q x u ( ) , ... See full document

... for multiobjective fractional programming problem and established weak and strong dua- lity ...nondifferentiable multiobjective frac- tional programming problems, and proved duality ... See full document

... linear programming (FLP) was first introduced by Tanaka et ...linear programming in fuzzy environment. Multi-objective linear Programming was introduced by Zeleny ...maximum problem by ... See full document

... constraint functions in problems dealing with invexity, Jeyakumar and Mond 18 introduced the concept of V-invexity and its generalization for differentiable multiobjective programming ...scalar ... See full document

... [10] Yan, C.L. and Feng, B.C. (2015) Sufficiency and Duality for Nonsmooth Multiob- jective Programming Problems Involving Generalized ( , ) ϕ ρ -V-Type I Functions. Journal of ... See full document

... 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 ... See full document

... Fractional Programming with Support ...Dubey, R. and Gupta, S.K. (2016) Duality for a Nondifferentiable Multiobjective Higher-Order Symmetric Fractional Programming Problems with Cone Con- ... See full document