Chapter 7
Vlse Criterion Optimization
and Compromise Solution
in Serbian (VIKOR)
Berna Uzun and Dilber Uzun Ozsahin
Abstract From the Serbian language, VIsekriterijumska optimizcija i KOmpromisno Resenje (VIKOR) is a way of finding a compromise ranking created by Serafim
Oprikovic. VIKOR is a method that determines the superior value in comparing two
alternatives for a final set of other actions that must be ranked and selected between the
criteria, and resolves a discrete multicriteria problem with disparate and conflicting
aspects. VIKOR pays more attention to demanding and choosing one of the best
from the set of variables and determines compromise difficulties with conflicting
aspects that can help decision makers to show the best alternative. A compromise
conclusion is the final conclusion among the alternatives, closer to ideal solution.
The VIKOR and TOPSIS methods are based on distance calculation to ideal solution of the decision matrix, but the compromise solution in VIKOR is guided by
mutual concessions, while in TOPSIS the best conclusion is guided by the minimum
distance from positive ideal solution (PIS) and the farthest distance from negative
ideal solution (NIS). PIS is considered to be a type that consists of the best ratings
between all considered criteria or attributes. On the other hand, NIS is considered a
candidate that does not contain the best ratings between all the criteria considered.
In this study the detailed information of the VIKOR technique will be presented.
B. Uzun (B) · D. Uzun Ozsahin
DESAM Institute, Near East University, Nicosia, Turkish Republic of Northern Cyprus, Turkey
e-mail: berna.uzun@neu.edu.tr
D. Uzun Ozsahin
e-mail: dilber.uzunozsahin@neu.edu.tr
B. Uzun
Department of Mathematics, Near East University, Nicosia, Turkish Republic of Northern Cyprus,
Turkey
D. Uzun Ozsahin
Department of Biomedical Engineering, Near East University, Nicosia, Turkish Republic of
Northern Cyprus, Turkey
Medical Diagnostic Imaging Department, College of Health Science, University of Sharjah,
Sharjah, United Arab Emirates
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
D. Uzun Ozsahin et al. (eds.), Application of Multi-Criteria Decision Analysis in
Environmental and Civil Engineering, Professional Practice in Earth Sciences,
https://doi.org/10.1007/978-3-030-64765-0_7
43
Vlse Criterion Optimization
and Compromise Solution
in Serbian (VIKOR)
Berna Uzun and Dilber Uzun Ozsahin
Abstract From the Serbian language, VIsekriterijumska optimizcija i KOmpromisno Resenje (VIKOR) is a way of finding a compromise ranking created by Serafim
Oprikovic. VIKOR is a method that determines the superior value in comparing two
alternatives for a final set of other actions that must be ranked and selected between the
criteria, and resolves a discrete multicriteria problem with disparate and conflicting
aspects. VIKOR pays more attention to demanding and choosing one of the best
from the set of variables and determines compromise difficulties with conflicting
aspects that can help decision makers to show the best alternative. A compromise
conclusion is the final conclusion among the alternatives, closer to ideal solution.
The VIKOR and TOPSIS methods are based on distance calculation to ideal solution of the decision matrix, but the compromise solution in VIKOR is guided by
mutual concessions, while in TOPSIS the best conclusion is guided by the minimum
distance from positive ideal solution (PIS) and the farthest distance from negative
ideal solution (NIS). PIS is considered to be a type that consists of the best ratings
between all considered criteria or attributes. On the other hand, NIS is considered a
candidate that does not contain the best ratings between all the criteria considered.
In this study the detailed information of the VIKOR technique will be presented.
B. Uzun (B) · D. Uzun Ozsahin
DESAM Institute, Near East University, Nicosia, Turkish Republic of Northern Cyprus, Turkey
e-mail: berna.uzun@neu.edu.tr
D. Uzun Ozsahin
e-mail: dilber.uzunozsahin@neu.edu.tr
B. Uzun
Department of Mathematics, Near East University, Nicosia, Turkish Republic of Northern Cyprus,
Turkey
D. Uzun Ozsahin
Department of Biomedical Engineering, Near East University, Nicosia, Turkish Republic of
Northern Cyprus, Turkey
Medical Diagnostic Imaging Department, College of Health Science, University of Sharjah,
Sharjah, United Arab Emirates
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
D. Uzun Ozsahin et al. (eds.), Application of Multi-Criteria Decision Analysis in
Environmental and Civil Engineering, Professional Practice in Earth Sciences,
https://doi.org/10.1007/978-3-030-64765-0_7
43