Contents 1. Introduction 963 2. A game called í µí±ƒ-orderings 967 2.1. On í µí±Ÿ-removed í µí±ƒ-orderings 968 2.2. On í µí±ƒ-orderings of order ℎ 969 3. Rings of integer-valued polynomials 969 3.1. Polynomials with integer-valued divided differences 970 3.2. Integer-valued polynomials having a given modulus 973 4. Smooth functions on compact subsets of local fields 976 4.1. The Banach space of...

Conventional data envelopment analysis (DEA) models are often extended for constant or variable returns to scale assumptions based on the under-investigated technology. It is assumed that all inputs and outputs real-valued data. However, in many practical applications, proportionality convexity axioms require be modified. This study attempts further expand upon hybrid DEA presence of integer-va...

Data Envelopment Analysis (DEA) is a nonparametric approach for measuring the relative efficiency of a decision making units consists of multiple inputs and outputs. In all standard DEA models semi positive real valued measures are assumed, while in some real cases inputs and outputs may take complex valued. The question is related to measuring efficiency in such cases. As far as we are aware, ...

Abstract DEA (data envelopment analysis) models can be divided into two groups: Radial and non-radial DEA, the latter has higher discriminatory power than former. The range adjusted measure (RAM) is an effective widely used approach. However, to best of our knowledge, there no literature on integer-valued super-efficiency RAM-DEA model, especially when undesirable outputs are included. We first...

for better guiding a system, senior managers should have accurate information. using data envelopment analysis (dea) help managers in this objective. thus, many investigations have been made in order to find the most productive scale size (mpss) for the evaluating decision making units (dmus). in this paper we consider this case where there exist subsets of input and output variables to be inte...

Bhargava defined p-orderings of subsets of Dedekind domains and with them studied polynomials which take integer values on those subsets. In analogy with this construction for subsets of Z(p) and p-local integer-valued polynomials in one variable, we define projective p-orderings of subsets of Z(p). With such a projective p-ordering for Z(p) we construct a basis for the module of homogeneous, p...