Expert Assignment of Fuzzy Strict Orders

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Abstract

The paper presents a method for interviewing experts for the case of aggregating fuzzy preferences specified through pairwise comparison of alternatives. The possibility of reducing the number of questions asked to experts during a interviewing is shown. Using an example, we analyze the use of a fuzzy transitive closure for a binary relation being created by an expert during a interviewing, and due to this, reducing the number of comparisons.

General Information

Keywords: group choice, expert, binary relation, interviewing, strict order, transitive relation

Journal rubric: Data Analysis

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2024140204

Received: 13.05.2024

Accepted:

For citation: Smerchinskaya S.O., Yamanaeva R.R. Expert Assignment of Fuzzy Strict Orders. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2024. Vol. 14, no. 2, pp. 62–79. DOI: 10.17759/mda.2024140204. (In Russ., аbstr. in Engl.)

References

  1. Volsky V.I. Voting procedures in small groups // Management problems. – Moscow: Sensidat-Plus LLC. – 2016. – P. 2-40.
  2. Christofides N. Graph theory, Algorithmic approach. / Translation from English E.V. Vershkova, I.V. Konovaltseva; Ed. G.P. Gavrilova. – Moscow: Mir, 1978. – 432 p.
  3. Mirkin B.G. Group choice problem. – M.: Nauka, 1974. – 256 p.
  4. Consistent aggregation of relations of strict order / V.N. Nefedov, V.A. Osipova, S.O. Smerchinskaya, N.P. Yashina // News of higher educational institutions. Mathematics. – 2018. – No. 5. P. 71 85.
  5. Nefedov V.N. Consistent aggregation of quasi-order relations / V.N. Nefedov, S.O. Smerchinskaya, N.P. Yashina // Applied mathematics. – Tomsk: National Research Tomsk State University. – 2019. – No. 45. – UDC 519.81. – pp. 113-126. (Mathematical foundations of intelligent systems) ‑‑ DOI 10.17223/20710410/45/13
  6. Bellman R., Zadeh L. Decision making in vague conditions / Bellman R., Zadeh L. [Text] // Questions of analysis and decision-making procedures. - Moscow: "Mir", 1976. - P. 172-215.
  7. Orlovsky, S. A. Problems of decision making with fuzzy information [Text] / S. A. Orlovsky - Moscow: Science, 1981 - 208 p.
  8. Kofman A. Introduction to the influence of fuzzy sets [Text] / Kofman A. - Moscow: Radio and Communications, 1982 - 432 p.
  9. Trukhaev, R. I. Models of decision making under conditions of uncertainty [Text] / R. I. Trukhaev - Moscow: Science, 1981 - 258 p.
  10. Gubko M.V. Lectures on decision making under conditions of fuzzy information [Text] / Gubko M.V. - Moscow: IPU RAS, 2004. - 37 p. — Version 1.

Information About the Authors

Svetlana O. Smerchinskaya, PhD in Physics and Matematics, Associate Professor, Department of Mathematical Cybernetics, Institute of Computer Science and Applied Mathematics, Moscow Aviation Institute (National Research University) (MAI), Moscow, Russia, ORCID: https://orcid.org/0000-0003-0614-1835, e-mail: svetlana_os@mail.ru

Rimma R. Yamanaeva, Student, Institute of Computer Science and Applied Mathematics, Moscow Aviation Institute (National Research University) (MAI), Moscow, Russia, ORCID: https://orcid.org/0009-0000-2874-1466, e-mail: m.e.dragon@mail.ru

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