A fuzzy representation for non-additive weights of AHP

Author

Ohnishi, Shin-ichi ; Yamanoi, Takahiro ; Imai, Hideyuki

Author_Institution

Fac. of Eng., Hokkai-Gakuen Univ., Sapporo, Japan

fYear

2011

fDate

27-30 June 2011

Firstpage

672

Lastpage

675

Abstract

AHP (Analytic Hierarchy Process) has been widely used in a domain of decision making, and there are a lot of extensions using fuzzy measure and integrals. In the previous research, we propose a kind of sensitivity analyses for AHP or fuzzy measure AHP, because it often occurs that data of AHP loses its reliability. In other words a comparison matrix there in does not always have enough consistency. Also in these cases, the authors propose one representation for weights using results from the sensitivity analysis. In this paper we refine fuzzy weights representation for fuzzy measure AHP. It can show how results of (fuzzy) AHP have fuzziness when the comparison matrix does not have relatively good consistency.

Keywords

decision making; fuzzy set theory; matrix algebra; reliability; sensitivity analysis; analytic hierarchy process; comparison matrix; decision making; fuzzy integral; fuzzy measure AHP; fuzzy weights representation; nonadditive weights; reliability; sensitivity analysis; Decision making; Equations; Fluctuations; Indexes; Mathematical model; Sensitivity analysis; Weight measurement; AHP; decision making; fuzzy measure; fuzzy sets; sensitivity analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2011 IEEE International Conference on

Conference_Location

Taipei

ISSN

1098-7584

Print_ISBN

978-1-4244-7315-1

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2011.6007440

Filename

6007440