Skip to main content

Methods for Individual and Group Decision Making Using Interval-Valued Fuzzy Preference Relations

  • Conference paper
  • First Online:
Book cover Proceedings of the International Conference on Data Engineering and Communication Technology

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 469))

Abstract

Although a lot of research has been done in studying and exploiting, both, interval valued fuzzy sets and intuitionistic fuzzy sets, we still believe a lot more focus is still required on interval-valued fuzzy preference relations (IVFPR). In this paper, our focus shall be IVFPRs as we put forward two algorithms, based on the additive and multiplicative consistencies, to select the best alternative from a certain set of alternatives. Fuzzy preference relations have few advantages in preciseness and consistency as they give the freedom, to the experts, to evaluate the alternatives relatively. Further, we also extend our algorithms to group decision making and demonstrate their efficacy through numerical illustrations.

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 EPUB and 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

References

  1. Z.S. Xu, Consistency of interval fuzzy preference relations in group decision making, Appl. Soft Comput. 11 (2011) 3898–3909.

    Google Scholar 

  2. H. Bustince, J. Montero, M. Pagola, E. Barrenechea, D. Gómez, A survey of IVFS, in: W. Pedrycz (Ed.), Handbook of Granular Computing, Wiley, New Jersey, 2008.

    Google Scholar 

  3. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20 (1986) 87–96.

    Google Scholar 

  4. Bustince H, Burillo P (1995) Correlation of interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems 74: 237–244.

    Google Scholar 

  5. Z.S. Xu, A method for estimating criteria weights from intuitionistic preference relations, Fuzzy Inform. Eng. (ICFIE), ASC (2007) 503–512.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. K. Tripathy .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Science+Business Media Singapore

About this paper

Cite this paper

Tripathy, B.K., Viraj Sahai, Neha Kaushik (2017). Methods for Individual and Group Decision Making Using Interval-Valued Fuzzy Preference Relations. In: Satapathy, S., Bhateja, V., Joshi, A. (eds) Proceedings of the International Conference on Data Engineering and Communication Technology. Advances in Intelligent Systems and Computing, vol 469. Springer, Singapore. https://doi.org/10.1007/978-981-10-1678-3_19

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-1678-3_19

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1677-6

  • Online ISBN: 978-981-10-1678-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics