Skip to main content
SpringerLink
Log in

Algorithm for the Reduction of the Pareto Set Using a Collection of Fuzzy Information Quanta

  • Published:
Scientific and Technical Information Processing Aims and scope

Abstract

This paper deals with the multi-criteria problem of choice with a numerical vector function defined on a set of feasible variants. It is assumed that the decision maker uses a fuzzy preference relation for the choice process. Information on the preference relation is considered to be known in the form of a finite collection of fuzzy quanta. We formulate an algorithm to reduce the Pareto set in the multicriteria choice problem using the set of quanta in order to facilitate the final choice. A numerical example illustrates the operation of the algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. Noghin, V.D., Reduction of the Pareto Set: An Axiomatic Approach, Studies in Systems, Decision and Control, vol. 126, Cham: Springer, 2018. https://doi.org/10.1007/978-3-319-67873-3

  2. Noghin, V.D. and Baskov, O.V., Pareto set reduction based on an arbitrary finite collection of numerical information on the preference relation, Dokl. Math., 2011, vol. 83, no. 3, pp. 418–420. https://doi.org/10.1134/s1064562411030288

    Article  MathSciNet  Google Scholar 

  3. Zadeh, L.A., Fuzzy sets, Inf. Control, 1965, vol. 8, no. 3, pp. 338–353. https://doi.org/10.1016/s0019-9958(65)90241-x

    Article  Google Scholar 

  4. Klir, G. and Yuan, B., Fuzzy Sets and Fuzzy Logic: Theory and Applications, New Jersey: Prentice Hall RTR, 1995.

    Google Scholar 

  5. Orlovskii, S.A., Problemy prinyatiya reshenii pri nechetkoi iskhodnoi informatsii (Problems of Decision Making at Fuzzy Initial Information), Moscow: Nauka, 1981.

  6. Nogin, V.D., Mnozhestvo i printsip Pareto (Pareto Set and Principle), St. Petersburg: Izdatel’sko-Poligraficheskaya Assotsiatsiya Vuzov, 2022.

  7. Rockafellar, R.T., Convex Analysis, Princeton Mathematical Series, Princeton, N.J.: Princeton Univ. Press, 1970.

    Book  Google Scholar 

  8. Schrijver, A., Theory of Linear and Integer Programming, Wiley-Interscience Series in Discrete Mathematics and Optimization, Chichester: John Wiley & Sons, 1986.

  9. Noghin, V.D., Multicriteria choice based on fuzzy information, Sci. Tech. Inf. Process., 2020, vol. 47, no. 5, pp. 275–283. https://doi.org/10.3103/s0147688220050044

    Article  Google Scholar 

Download references

Funding

This work was supported by the Russian Foundation for Basic Research (project 20-07-00298).

Author information

Authors and Affiliations

  1. Saint-Petersburg State University, Saint-Petersburg, Russia

    V. D. Noghin

Authors
  1. V. D. Noghin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. D. Noghin.

Ethics declarations

The author of this work declares that he has no conflicts of interest.

Additional information

Publisher’s Note.

Allerton Press remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Noghin, V.D. Algorithm for the Reduction of the Pareto Set Using a Collection of Fuzzy Information Quanta. Sci. Tech. Inf. Proc. 50, 610–617 (2023). https://doi.org/10.3103/S0147688223060126

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0147688223060126

Keywords:

Search

Navigation