A Fuzzy Weights Representation for Inner Dependence AHP
Shin-ichi Ohnishi*, Takahiro Yamanoi*, and Hideyuki Imai**
*Faculty of Engineering, Hokkai-Gakuen University, W11-1-1, S26, Chuo-ku, Sapporo, Hokkaido 064-0926, Japan
**Graduate School of Information Science and Technology, Hokkaido University, W9, N14, Kita-ku, Sapporo, Hokkaido 060-0814, Japan
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 are not independent enough. 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 using results from sensitivity analysis is useful. We present weights of normal AHP criteria via fuzzy sets, then calculate modified fuzzy weights of inner dependence methods. 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 criterion do not have enough independence.
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