Title :
A weights representation for absolute measurement AHP using fuzzy sets theory
Author :
Ohnishi, Shin-ichi ; Saito, Tatsuhiko ; Yamanoi, Takahiro ; Imai, Hideyuki
Author_Institution :
Fac. of Eng., Hokkai-Gakuen Univ., Sapporo, Japan
Abstract :
AHP (Analytic Hierarchy Process) has been widely used in a field of decision making. One extension, an absolute measurement method AHP is effective for bad consistency in case containing too many alternatives and can avoid the rank reversal problem. However using the absolute measurement method, the results often lose reliability because the comparison matrix (of criteria or assessment level) does not always have sufficient consistency. In these cases, fuzzy representation for weighting assessment level, criteria and also alternatives using results from a sensitivity analysis is useful. In this paper, we present fuzzy weights representation for absolute measurement AHP by employing some assumptions. The results show how absolute measurement AHP has fuzziness when the comparison matrix is not enough consistent.
Keywords :
decision making; fuzzy set theory; matrix algebra; reliability; AHP; analytic hierarchy process; comparison matrix; decision making; fuzzy representation; fuzzy sets theory; reliability; weights representation; Educational institutions; Equations; Fluctuations; Indexes; Mathematical model; Sensitivity analysis; Weight measurement; AHP (Analytic Hierarchy Process); decision making; fuzzy sets; sensitivity analysis;
Conference_Titel :
Computational Intelligence and Intelligent Informatics (ISCIII), 2011 5th International Symposium on
Conference_Location :
Floriana
Print_ISBN :
978-1-4577-1860-1
DOI :
10.1109/ISCIII.2011.6069744