Convexity in Real Analysis

Calculating Cost Efficiency with Integer Data in the Absence of Convexity

One of the new topics in DEA is the data with integer values. In DEA classic models, it is assumed that input and output variables have real values. However, in many cases, some inputs or outputs can have integer values. Measuring cost efficiency is another method to evaluate the performance and assess the capabilities of a single decision-making unit for manufacturing current products at a min...

The convexity of the integral operator on the class of the integral operator on the class B(mu,alpha)

In this paper, we study the convexity of the integral operator

Fuzzy Network Analysis for Projects with High Level of Risks – Uncertainty in Time and Structure

  In order to have better insight of project characteristics, different kinds of fuzzy analysis for project networks have been recently proposed, most of which consider activities duration as the main and only source of imprecision and vagueness, but as it is usually experienced in real projects, the structure of the network is also subject to changes. In this paper we consider three types of i...

Approximate Convexity and Submonotonicity in Locally Convex Spaces

A Computational Method for the Karush-Kuhn- Tucker Test of Convexity of Univariate Observations and Certain Economic Applications

The problem of convexity runs deeply in economic theory. For example, increasing returns or upward slopes (convexity) and diminishing returns or downward slopes (concavity) of certain supply, demand, production and utility relations are often assumed in economics. Quite frequently, however, the observations have lost convexity (or concavity) due to errors of the measuring process. We derive the...