Methods of considering the subjective character of input data in voting
DOI:
https://doi.org/10.15587/1729-4061.2015.36699Keywords:
fuzzy voting problem, heuristics, collective order, subjective voters’ characteristicsAbstract
The problems of decision theory include voting tasks. Contemporary science knows a lot of methods to determine the collective order, each of them having its advantages and disadvantages. Practical voting tasks often suggest cases that consider voters’ individual rankings as well as their subjective characteristics such as nihilism, extreme optimism or inability to clearly determine the best candidate for themselves. There is also an interesting case when the winner of the voting task is a candidate rejected by the majority of voters. To analyze such cases, we should consider a fuzzy voting problem in which voters indicate both individual rankings and the degree of each candidate’s affiliation to the fuzzy set characterizing the degree of the candidate’s proximity to the victory.
The study focuses on a fuzzy voting problem. We suggest heuristics for preliminary processing of input data. At the first stages of solving the problem, the data allow weeding out the worst candidates for a specified number of voters and excluding the rankings of voters characterized by extreme nihilism or extreme optimism, etc. We have worked out rules for establishing the collective order in a fuzzy voting problem. The rules are similar to some of the rules in a clear case.
We have devised examples that demonstrate usefulness of the suggested heuristics and rules to solve voting problems.
References
- Mulen, H. (1991). Axioms of cooperative decision making. Moscow: Mir, 464.
- Voloshyn, O. F., Mashchenko, S. O. (2010). Decision theory: tutorial. Kiev: Publishing and Printing Center "Kyivskyi universytet", 366.
- Larichev, O. I. (1987). Objective models and subjective solutions. Moscow: Nauka, 143.
- Totsenko, V. H. (2002). Methods and decision support systems. Algorithmic aspect. Kiev: "Naukova dumka", 382.
- Orlovskii, S. A. (1981). Decision making with fuzzy initial information. Moscow: "Nauka", 208.
- Shtovba, S. D. (2014). Introduction to the theory of fuzzy sets and fuzzy logic. Available at: http://matlab.exponenta.ru/fuzzylogic/book1/index.php/.
- Saaty, T. L. (1974). Measuring the fuzziness of sets. Journal of Cybernetics, 4 (4), 53-61. doi: 10.1080/01969727408546075
- Yager, R., Filev, D. (1984). Essentials of Fuzzy Model and Control. USA: John Wiley & Sons, 387.
- Zadeh, L. (1962). From Circuit Theory to System Theory. Proceedings of the IRE, 50(5), 856–865. doi:10.1109/jrproc.1962.288302
- Malyar, М., Shvalahin, О. (2012). Parallel-successive screening scheme of variants for the choice problem. Eastern-European Journal of Enterprise Technologies, 1/4(49), 39–42. Available at: http://journals.uran.ua/eejet/article/view/1911/1806
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Оксана Юріївна Мулеса
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.