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Article

Distance-Based Decision Making, Consensus Building, and Preference Aggregation Systems: A Note on the Scale Constraints

by
İbrahim Gürler
1,*,
Ozan Çakır
2 and
Bora Gündüzyeli
2
1
Department of International Trade and Business, Istanbul Topkapı University, Istanbul 34020, Turkey
2
Department of Management Information Systems, Istanbul Topkapı University, Istanbul 34020, Turkey
*
Author to whom correspondence should be addressed.
Systems 2022, 10(4), 112; https://doi.org/10.3390/systems10040112
Submission received: 23 June 2022 / Revised: 18 July 2022 / Accepted: 22 July 2022 / Published: 29 July 2022
(This article belongs to the Section Systems Practice in Social Science)
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Abstract

Distance metrics and their extensions are widely accepted tools in supporting distance-based decision making, consensus building, and preference aggregation systems. For several models of this nature, it may be necessary to elucidate the problem output in the original input domain. When a particular parameter of interest is desired to be produced in this original domain, i.e., the scale, the decision makers simply resort to constraints that function in parallel with this goal. However, there exist some cases where such a membership is guaranteed by the mathematical properties of the distance metric utilized. In this paper, we argue that the scale constraints utilized in this manner under the distance-metric optimization framework are, in some cases, completely redundant. We provide necessary mathematical proofs and illustrate our arguments through an abstract physical system, examples, a case study, and a brief computational experiment.
Keywords: distance metric; decision making systems; consensus building systems; preference aggregation systems; decision support systems; distance-metric optimization distance metric; decision making systems; consensus building systems; preference aggregation systems; decision support systems; distance-metric optimization

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MDPI and ACS Style

Gürler, İ.; Çakır, O.; Gündüzyeli, B. Distance-Based Decision Making, Consensus Building, and Preference Aggregation Systems: A Note on the Scale Constraints. Systems 2022, 10, 112. https://doi.org/10.3390/systems10040112

AMA Style

Gürler İ, Çakır O, Gündüzyeli B. Distance-Based Decision Making, Consensus Building, and Preference Aggregation Systems: A Note on the Scale Constraints. Systems. 2022; 10(4):112. https://doi.org/10.3390/systems10040112

Chicago/Turabian Style

Gürler, İbrahim, Ozan Çakır, and Bora Gündüzyeli. 2022. "Distance-Based Decision Making, Consensus Building, and Preference Aggregation Systems: A Note on the Scale Constraints" Systems 10, no. 4: 112. https://doi.org/10.3390/systems10040112

APA Style

Gürler, İ., Çakır, O., & Gündüzyeli, B. (2022). Distance-Based Decision Making, Consensus Building, and Preference Aggregation Systems: A Note on the Scale Constraints. Systems, 10(4), 112. https://doi.org/10.3390/systems10040112

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