Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons

@article{35837,
   author = {Mazurek, Jiří},
   article_number = {1},
   keywords = {pairwise comparisons; AHP; inconsistency; inconsistency index; axioms of inconsistency},
   language = {eng},
   issn = {2081-8858},
   journal = {Operations Research and Decisions},
   title = {Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons},
   volume = {2018},
   year = {2018}
}

TY  - JOUR
ID  - 35837
AU  - Mazurek, Jiří
PY  - 2018
TI  - Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons
JF  - Operations Research and Decisions
VL  - 2018
IS  - 1
SP  - 27-42
EP  - 27-42
SN  - 20818858
KW  - pairwise comparisons
KW  - AHP
KW  - inconsistency
KW  - inconsistency index
KW  - axioms of inconsistency
N2  - 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 were proposed as an alternative to Saaty's inconsistency index, C. I., and consistency ratio, C. R., 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.
ER  - 

MAZUREK, Jiří. Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons. \textit{Operations Research and Decisions}. roč.~2018, č.~1, s.~27-42. ISSN~2081-8858. 2018.