Skip to main content

Structuring Techniques in Multiset Spaces

  • Conference paper
Multiple Criteria Decision Making

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 448))

Abstract

This paper presents methods to investigate a structure of objects described with qualitative attributes (multicriterial alternatives, textual documents and so on). Proposed algorithms of clustering and ordering are based on the theoretical model of multisets. Techniques take into account qualitative nature of object properties and decision maker preferences.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderberg M.R.: Cluster Analysis for Applications. Academic Press, New York 1973.

    Google Scholar 

  2. Hartigan J.A.: Clustering Algorithms. Wiley, New York 1975.

    Google Scholar 

  3. Knuth D.E.: The Art of Computer Programming. V.2. Semi-numerical Algorithms. Addison-Wesley, Reading. Mass. 1969.

    Google Scholar 

  4. Larichev O.I., Prokhorov A.S., Petrovsky A.B., Sternin M.Yu., Shepelev G.I.: The Experience of Planning of the Basic Research on the Competitive Base (in Russian). Vestnik of the USSR Academy of Sciences (1989) N7, p.51–61.

    Google Scholar 

  5. Miyamoto S.: Cluster Analysis as a Tool of Interpretation of Complex Systems. Working Paper WP-87-41, IIASA, Laxenburg, Austria 1987.

    Google Scholar 

  6. Petrovsky A.B.: Decision Support System for R&D Management Problems. In: A. Levandovski, I. Stanchev (eds): Methodology and Software for Interactive Decision Support. Proc.of the International Workshop, Albena, Bulgaria, October 19-23,1987, Lecture Notes in Econ.and Math.Syst. N 337, Springer-Verlag, Berlin etc. 1989, p.265–270.

    Google Scholar 

  7. Petrovsky A.B.: An Axiomatic Approach to Metrization of Multiset Space. In: G.H. Tzeng, H.F. Wang, U.P. Wen, P.L. Yu (eds): Multiple Criteria Decision Making. Proc. of the Tenth International Conference on MCDM, Taipei, Taiwan, July 19-24, 1992, Springer-Verlag, New York etc. 1994, p.129–140.

    Chapter  Google Scholar 

  8. Petrovsky A.B.: Decision Support System for a Structurization and Analysis of Qualitative Alternatives (in Russian). Doctoral Dissertation, Institute for System Analysis,.Russian Academy of Science, Moscow 1994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Petrovsky, A.B. (1997). Structuring Techniques in Multiset Spaces. In: Fandel, G., Gal, T. (eds) Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59132-7_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-59132-7_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62097-6

  • Online ISBN: 978-3-642-59132-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics