Some notes on the properties of inconsistency indices in pairwise comparisons
Journal Title: Operations Research and Decisions - Year 2018, Vol 28, Issue 1
Abstract
Pairwise comparisons are an important tool of modern (multiple criteria) decision making. Since human judgments are often inconsistent, many studies have focused on the means of expressing and measuring this inconsistency, and several inconsistency indices have been proposed as an alternative to Saaty’s inconsistency index, CI, and consistency ratio, CR, for reciprocal pairwise comparison matrices. The aims of this paper are threefold: firstly, a row inconsistency index (RIC) is proposed and the properties of this index are examined. Secondly, a comparison of selected inconsistency indices for a corner pairwise comparison matrix is provided. Last, but not least, another axiom about the upper bound on the value of an inconsistency index is postulated, and a set of selected inconsistency indices is examined with respect to this axiom. Numerical examples complete the paper.
Authors and Affiliations
Jiří MAZUREK
Data Envelopment Analysis as an instrument for measuring the efficiency of courts
The paper addresses the problem of measuring the efficiency of civil jurisdiction courts. Non-parametric data envelopment analysis (DEA) has been proposed as a measurement instrument. Hearing (settling) a case within a r...
On the core of a cost allocation problem under asymmetric information
We study a cost allocation problem under asymmetric information, and show that the ex ante incentive compatible core is non-empty. We also obtain a non-emptiness result for the incentive compatible coarse core, which is...
Modified optimization model for selecting project risk response strategies
The authors present modifications of the optimization model for selecting project risk response strategies proposed by Zhang and Fan. The weaknesses of the original model has been identified and an improved model with th...
An EWMA control chart for the exponential distribution using repetitive sampling plan
A new EWMA control chart has been proposed under repetitive sampling when a quantitative characteristic follows the exponential distribution. The properties of the proposed chart, including the average run lengths has be...
The impact of weights on the quality of agricultural producers' multicriteria decision models
Decisions regarding agricultural production involve multiple goals. A multicriteria approach al-lows decision makers to consider more aspects of the decision scenario, although it also leads to other problems, such as di...