Skip to main content
Log in

An Approach to Improving Consistency of Fuzzy Preference Matrix

  • Published:
Fuzzy Optimization and Decision Making Aims and scope Submit manuscript

Abstract

Based on the transfer formulas of fuzzy preference matrix and multiplicative preference matrix, this paper presents an approach to improving consistency of fuzzy preference matrix and gives a practical iterative algorithm to derive a modified fuzzy preference matrix with acceptable consistency. By using two criteria, we can judge whether the modification is acceptable or not. Finally, a numerical example is given to show the feasibility and effectiveness of the algorithm.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Barbean, E. (1986). “Perron's Result and a Decision on Admissions Tests,” Mathematics Magazine 59, 12–22.

    Google Scholar 

  • Chen, B. Q., et al. (1991). “An Eigenvalue Problem of a Positive Reciprocal Matrix,” Appl. Math. J. Chinese Univ. Ser. A 6(1), 55–65.

    Google Scholar 

  • Deturck, D. M. (1987). “The Approach to Consistency in the Analytic Hierarchy Process,” Math Modelling 9, 345–352.

    Google Scholar 

  • Han, X. L. (1994). “The Method of Improvement on the Consistency of Positive Reciprocal Matrix,” Appl. Math. J. Chinese Univ. Ser. A 9(Suppl.), 57–61.

    Google Scholar 

  • Orlovsky, S. A. (1978). “Decision-Making with a Fuzzy Preference Relation,” Fuzzy Sets and Systems 1, 155–167.

    Google Scholar 

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

    Google Scholar 

  • Xu, Z. S. (1999). “Study on the Relation Between Two Classes of Scales in AHP,” Systems Engineering—Theory & Practice 19(7), 97–101.

    Google Scholar 

  • Xu, Z. S. (2000). “On Consistency of the Weighted Geometric Mean Complex Judgement Matrix in AHP,” European Journal of Operational Research 126, 683–687.

    Google Scholar 

  • Xu, Z. S. and C. P. Wei. (1999). “A Consistency Improving Method in the Analytic Hierarchy Process,” European Journal of Operational Research 116, 443–449.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xu, Z., Da, Q. An Approach to Improving Consistency of Fuzzy Preference Matrix. Fuzzy Optimization and Decision Making 2, 3–12 (2003). https://doi.org/10.1023/A:1022891913097

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022891913097

Navigation