Sentence examples for the weak efficiency from inspiring English sources

When ε = 0, then the weak ε- efficiency becomes the weak efficiency for (MFP) (see the definition of efficient solution of a multiobjective optimization problem in [21]).

Besides the weak efficiency and efficiency mentioned above, a meaningful solution concept called a strict efficient solution of higher-order (also called a strict minimizer of higher-order) was recently extended by Jiménez in [10] from the strict minimizer of higher-order in scalar optimization given by Auslender in [11] and Ward in [12].

Furthermore, the minimal element is introduced in the paper to distinguish the weak efficiency and efficiency.

Moreover, the partially ordered set and minimal element are used to distinguish the weak efficiency and efficiency.

In this paper, we establish sufficient optimality conditions for the (weak) efficiency to multiobjective fractional programming problems involving generalized ( F, α, ρ, d ) -V-type I functions.

In order to distinguish the weak efficiency and efficiency, the partially ordered set and minimal element are introduced in the paper.

The use of oral administration of ivermectin was not recommended because of the weaker efficiency against gastrointestinal nematodes [ 32, 33], lower achieved plasma concentrations and the danger of emerging drug resistance [ 31].

Sach [20] discussed the efficiency, weak efficiency and Benson proper efficiency in vector optimization problem involving ic-cone-convexlike set-valued maps.

This rule produced average annual returns of 14.2%, compared with an 8% average return on American Treasury bills.Most of the work on weak efficiency has been far from simple.

On the basis of weak efficiency, we obtain symmetric duality relations for Mond-Weir-type problems under invexity and pseudo-invexity assumptions.

On the basis of weak efficiency, we obtain symmetric duality relations for Mond-Weir-type problems under invexity and pseudoinvexity assumptions.