EURO 2024 Copenhagen
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1133. Interval Pairwise Comparisons in the Presence of Infeasibilities: A Review and Numerical Experiments

Invited abstract in session WA-44: Pairwise comparisons and preference relations 3, stream Multiple Criteria Decision Analysis.

Wednesday, 8:30-10:00
Room: 20 (building: 324)

Authors (first author is the speaker)

1. Jiri Mazurek
School of Business Administration in Karvina
2. Bruce Golden
Decision & Information Technologies, University of Maryland
3. Jiaqi Wang
Department of Mathematics, University of Maryland

Abstract

Pairwise comparisons constitute a fundamental part of many multiple-criteria decision-making methods designed to solve complex real-world problems. One of the pervasive features associated with any problems’ complexity is uncertainty. Experts are rarely able to consistently and accurately evaluate a set of alternatives under consideration due to time pressure, cognitive bias, the intricacy or intangible essence of the problem, a lack of requisite knowledge or experience, or other reasons. Interval pairwise comparisons (IPCs) allow for this uncertainty in a natural way; however, the problem of inconsistency (or infeasibility) may arise. That is, a set of interval comparisons may not allow experts to find a solution in the form of a priority vector. The aim of this paper is to provide a review of existing literature on this topic and to compare existing methods via numerical examples and simulations which indicate that the Interval Stretching Method is superior to other published methods. In addition, the problem of solution
uniqueness is investigated for selected methods. Last but not least, a new theoretical framework for the evaluation of the extent of the modification of an original IPC matrix is provided as well.

Keywords

Status: accepted

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