Sentence examples for formulated two types of from inspiring English sources

Husain etal.[12] formulated two types of second-order dual models for minimax fractionalprogramming and derived weak, strong and converse duality theorems underη-convexity assumptions.

In the present work, we have formulated two types of second-order dual models for a nondifferentiable minimax fractional programming problems and proved appropriate duality relations involving second-order α-univex functions.

Recently, Ahmad [13] has formulated two types of second-order dualities for minimax fractional programming problems and derived weak, strong and strict converse duality theorems under generalized convexity type assumptions.

Sakawa and Yano [40] developed LP-based methods for solving formulated three types of problems for obtaining the FLR models, where both input and output data are fuzzy numbers.

In this paper, we formulate two types of second-order dual models for (P) and then derive weak, strong, and strict converse duality theorems under generalized α-univexity assumptions.

These combinations have a special meaning for the clinicians; for example, the pattern "Drug" for "Disease" relates to the concept of treatment for a physician.> The system, analysing the clinical question given as input, formulates two types of focused queries.

In this paper, depending upon how to deal with missing bits, we formulate three types of extensions called robust, consistent and most robust extensions, for various classes of Boolean functions such as general, positive, Horn, threshold, decomposable and k-DNF.

The solutions are formulated for two types of boundary conditions: a time-dependent Neumann boundary condition, and a time-dependent Dirichlet boundary condition.

In this section, the multi-objective DCMS model integrating GL and PP is formulated under the two types of assumptions.

The dynamic pricing problem is formulated as three types of hybrid programming models expected revenue maximization model, α-revenue maximization model and chance maximization model to meet different goals.

We formulated two sets of candidate models.