TITLE:
Estimation of Decision Alternatives on the Basis of Interval Pairwise Comparison Matrices
AUTHORS:
Nataliya D. Pankratova, Nadezhda I. Nedashkovskaya
KEYWORDS:
Interval Pairwise Comparison Matrix, Interval Weights, Weakly Consistent Interval Expert Judgments, Intransitive Interval Expert Judgments, Consistency Increasing of Interval Expert Judgments, Weak and Strong Order Preservation
JOURNAL NAME:
Intelligent Control and Automation,
Vol.7 No.2,
May
16,
2016
ABSTRACT:
This paper deals with the calculation of a vector of reliable weights of decision
alternatives on the basis of interval pairwise comparison judgments of experts.
These weights are used to construct the ranking of decision alternatives and to
solve selection problems, problems of ratings construction, resources allocation
problems, scenarios evaluation problems, and other decision making problems. A
comparative analysis of several popular models, which calculate interval
weights on the basis of interval pairwise comparison matrices (IPCMs), was
performed. The features of these models when they are applied to IPCMs with
different inconsistency levels were identified. An algorithm is proposed which
contains the stages for analyzing and increasing the IPCM inconsistency,
calculating normalized interval weights, and calculating the ranking of
decision alternatives on the basis of the resulting interval weights. It was
found that the property of weak order preservation usually allowed identifying
order-related intransitive expert pairwise comparison judgments. The correction
of these elements leads to the removal of contradictions in resulting weights
and increases the accuracy and reliability of results.