Home // COGNITIVE 2012, The Fourth International Conference on Advanced Cognitive Technologies and Applications // View article

Fuzzy Weights Representation of AHP for Inner Dependence among Alternatives

Authors:
Shin-ichi Ohnishi
Takahiro Yamanoi

Keywords: decision making; AHP; fuzzy sets; sensitivity analysis.

Abstract:
The Analytic Hierarchy Process (AHP) proposed by T. L. Saaty has been widely used in decision making. Inner dependence method AHP is used for cases in which criteria or alternatives are not independent enough and using the original AHP or inner dependence AHP may cause results to lose reliability because the comparison matrix is not necessarily sufficiently consistent. In such cases, fuzzy representation for weighting criteria or alternatives using results from sensitivity analysis is useful. We present local weights of normal AHP alternatives via fuzzy sets, and then calculate modified fuzzy weights. We also get overall weights of alternatives based on certain assumptions. Results show the fuzziness of inner dependence AHP if the comparison matrix is not sufficiently consistent and individual alternatives do not have enough independence.

Pages: 129 to 132

Copyright: Copyright (c) IARIA, 2012

Publication date: July 22, 2012

Published in: conference

ISSN: 2308-4197

ISBN: 978-1-61208-218-9

Location: Nice, France

Dates: from July 22, 2012 to July 27, 2012