Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0602.90002
Buckley, J.J.
Fuzzy hierarchical analysis. (English)
[J] Fuzzy Sets Syst. 17, 233-247 (1985). ISSN 0165-0114

This paper extends hierarchical analysis to the case where the participants are allowed to employ fuzzy ratios in place of exact ratios. If a person considers alternative A more important than alternative B, then the ratio used might be approximately 3 to 1, or between 2 to 1, and 4 to 1, or at most 5 to 1. The pairwise comparison of the issues and the criteria in the hierarchy produce fuzzy positive reciprocal matrices. The geometric mean method is employed to calculate the fuzzy weights for each fuzzy matrix, and these are combined in the usual manner to determine the final fuzzy weights for the alternatives. The final fuzzy weights are used to rank the alternatives from highest to lowest. The highest ranking contains all the undominated issues. The procedures easily extends to the situations where many experts are utilized in the ranking process, or to the case of missing data. Two examples are presented showing the final fuzzy weights and the final ranking.

MSC 2000:: *91B06 Decision theory
90B50 Multiple-criteria decision making
03E72 Fuzzy sets (logic)

Keywords: decision making; multicriteria analysis; hierarchical analysis; fuzzy ratios; pairwise comparison; fuzzy positive reciprocal matrices; geometric mean method; ranking

Cited in: Zbl 0673.90004

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]