Abstract
This paper introduced the trapezoid fuzzy number complementary judgement matrix, trapezoid fuzzy number reciprocal judgement matrix, and trapezoid fuzzy number hybrid judgement matrix. The general compatibility index is given to the three kinds judgement matrix. The priority method of judgement matrices are provided based on some distance. Finally, a numerical example is given to improve the feasibility and effectiveness of the method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Satty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)
Herrera-Viedma, E., Herrera, F., Chiclana, F., et al.: Some Issues on Consistency of Fuzzy Preference Relations. European Journal of Operat ional Research 154, 98–109 (2004)
Xu, R.N., Zhai, X.Y.: Extensions of the Analytic Hhierarchy Process in Fuzzy Environment. Fuzzy Sets and Systems 52, 251–257 (1992)
Zimmermann, H.-J.: Fuzzy Set and Its Applications. Kluwer Academic Publishers, Dordrecht (1991)
Xu, Z.S.: On Consistency of the Weighted Geometric Mean Complex Judgement Matrix in AHP. European Journal of Operational Research 126, 683–687 (2000)
Yager, R.R., Kacprzyk, J.: The Ordered Weighted Averaging Operators: Theory and Applications. Kluwer, Norwell (1997)
Xu, Z.S.: On Compatibility of Interval Fuzzy Preference Relations. Fuzzy Optimization and Decision Making 3, 217–225 (2004)
Xu, Z.S., Da, Q.L.: An Overview of Operators for Aggregating Information. International Journal of Intelligent Systems 18, 953–969 (2003)
Yager, R.R.: A Procedure for Ordering Fuzzy Subsets of the Unit Interval. Information Science 24, 143–161 (1981)
Yager, R.R.: On Ordered Weighted Averaging Aggregation Operators in Multi-Criteria Decision Making. IEEE Transactions on Systems, Man and Cybernetics 18, 183–190 (1988)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yang, Jh. (2009). Compatibility and Priority Method of Trapezoid Fuzzy Number Judgement Matrix. In: Cao, B., Li, TF., Zhang, CY. (eds) Fuzzy Information and Engineering Volume 2. Advances in Intelligent and Soft Computing, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03664-4_148
Download citation
DOI: https://doi.org/10.1007/978-3-642-03664-4_148
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03663-7
Online ISBN: 978-3-642-03664-4
eBook Packages: EngineeringEngineering (R0)