Chapter 18
Incomplete Pairwise Comparisons
Method for Estimating the Impact
Criteria for Hub Airports Network
Optimization
Nataliya M. Kuzmina and Alexandra N. Ridley
Abstract This chapter proposes a solution to the problem of determining the contribution of airport rating criteria for assessing the integral risk of modernization. The
purpose of modernization is to increase the throughput of the Moscow aviation
hub. To solve this problem, the experts formed a list of criteria. To determine their
contribution to the overall risk assessment, the method of pairwise comparisons was
applied. However, due to the fact that the criteria being evaluated relate to different
areas, and experts from different areas were involved, an interval system of evaluating
alternatives based on Saaty’s scale was used. The results of expert evaluations were
combined into a common matrix of interval evaluations of alternatives. To increase
the consistency of the matrix, some elements were deleted. The method proposed
to solve the problem allows us to obtain the alternatives’ weights for incomplete
pairwise comparisons matrices of large dimension, as well as, alternative estimates
in interval form, which is illustrated by an example. This method differs from most
existing methods for solving the problem of incomplete pairwise comparisons by
the ability to process incomplete pairwise comparisons matrices without restoring
missing data. It can be applied to solve other decision problems, where most of the
known methods based on the pairwise comparisons method are not applicable to
solve a problem.
N. M. Kuzmina
The Moscow State Technical University of Civil Aviation, 20, Kronshtadtsky blvd, Moscow
125993, Russian Federation
e-mail: n.kuzmina@mstuca.aero
A. N. Ridley (B)
Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow
125993, Russian Federation
e-mail: alexandra.ridley@yandex.ru
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
L. C. Jain et al. (eds.), Applied Mathematics and Computational Mechanics for Smart
Applications, Smart Innovation, Systems and Technologies 217,
https://doi.org/10.1007/978-981-33-4826-4_18
259
Incomplete Pairwise Comparisons
Method for Estimating the Impact
Criteria for Hub Airports Network
Optimization
Nataliya M. Kuzmina and Alexandra N. Ridley
Abstract This chapter proposes a solution to the problem of determining the contribution of airport rating criteria for assessing the integral risk of modernization. The
purpose of modernization is to increase the throughput of the Moscow aviation
hub. To solve this problem, the experts formed a list of criteria. To determine their
contribution to the overall risk assessment, the method of pairwise comparisons was
applied. However, due to the fact that the criteria being evaluated relate to different
areas, and experts from different areas were involved, an interval system of evaluating
alternatives based on Saaty’s scale was used. The results of expert evaluations were
combined into a common matrix of interval evaluations of alternatives. To increase
the consistency of the matrix, some elements were deleted. The method proposed
to solve the problem allows us to obtain the alternatives’ weights for incomplete
pairwise comparisons matrices of large dimension, as well as, alternative estimates
in interval form, which is illustrated by an example. This method differs from most
existing methods for solving the problem of incomplete pairwise comparisons by
the ability to process incomplete pairwise comparisons matrices without restoring
missing data. It can be applied to solve other decision problems, where most of the
known methods based on the pairwise comparisons method are not applicable to
solve a problem.
N. M. Kuzmina
The Moscow State Technical University of Civil Aviation, 20, Kronshtadtsky blvd, Moscow
125993, Russian Federation
e-mail: n.kuzmina@mstuca.aero
A. N. Ridley (B)
Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow
125993, Russian Federation
e-mail: alexandra.ridley@yandex.ru
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
L. C. Jain et al. (eds.), Applied Mathematics and Computational Mechanics for Smart
Applications, Smart Innovation, Systems and Technologies 217,
https://doi.org/10.1007/978-981-33-4826-4_18
259