Skip to main content

Estimating Missing Values in Incomplete Additive Fuzzy Preference Relations

  • Conference paper
Knowledge-Based Intelligent Information and Engineering Systems (KES 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4693))

Abstract

In some occasions, decision makers may have to deal with the problems in which only partial information is available. As a result, decision makers embody their preferences as incomplete fuzzy preference relations. In this paper, we propose an iterative procedure to estimate the missing values of the incomplete fuzzy preference relations that are assumed to be additive. The procedure is based on additive transitivity property. Measures of consistency and completeness of an incomplete fuzzy preference are also developed to assist decision makers to identify the quality of their decisions.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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. Alonso, S., Chiclana, F., Herrera, F., Herrera-Viedma, E.: A learning procedure to estimate missing values in fuzzy preference relations. In: Torra, V., Narukawa, Y. (eds.) MDAI 2004. LNCS (LNAI), vol. 3131, pp. 227–238. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Kacprzyk, J.: Group decision making with a fuzzy linguistic majority. Fuzzy Sets and Systems 18, 105–118 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  3. Kim, S.H., Ahn, B.S.: Group decision making procedure considering preference strength under incomplete information. Computers and Operations Research 24, 1101–1112 (1997)

    Article  MATH  Google Scholar 

  4. Kim, S.H., Ahn, B.S.: Interactive group decision making procedure under incomplete information. European Journal of Operational Research 116, 498–507 (1999)

    Article  MATH  Google Scholar 

  5. Kim, S.H., Choi, S.H., Kim, J.K.: An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach. European Journal of Operational Research 118, 139–152 (1999)

    Article  MATH  Google Scholar 

  6. Orlovski, S.A.: Decision-making with fuzzy preference relations. Fuzzy Sets and Systems 1, 155–167 (1978)

    Article  MathSciNet  Google Scholar 

  7. Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)

    MATH  Google Scholar 

  8. Tanino, T.: Fuzzy preference orderings in group decision making. Fuzzy Sets and Systems 12, 117–131 (1984)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lee, HS., Chou, MT., Fang, HH., Tseng, WK., Yeh, CH. (2007). Estimating Missing Values in Incomplete Additive Fuzzy Preference Relations. In: Apolloni, B., Howlett, R.J., Jain, L. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2007. Lecture Notes in Computer Science(), vol 4693. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74827-4_163

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74827-4_163

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74826-7

  • Online ISBN: 978-3-540-74827-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics