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Zbl 0926.91008
Chang, Dayong
Applications of the extent analysis method on fuzzy AHP. (English)
[J] Eur. J. Oper. Res. 95, No.3, 649-655 (1996). ISSN 0377-2217

Summary: A new approach for handling fuzzy AHP is introduced, with the use of triangular fuzzy numbers for pairwise comparison scale of fuzzy AHP, and the use of the extent analysis method for the synthetic extent value $S_i$ of the pairwise comparison. By applying the principle of the comparison of fuzzy numbers, that is, $V(M_1\ge M_2)= 1$ iff $m_1\ge m_2$, $V(M_2\ge M_1)= \text{hgt}(M_1\cap M_2)= \mu_{M_1}(d)$, the vectors of weight with respect to each element under a certain criterion are represented by $d(A_i)= \min V(S_i\ge S_k)$, $k= 1,2,\dots, n$; $k\ne i$. This decision process is demonstrated by an example.

MSC 2000:: *91B06 Decision theory
03E72 Fuzzy sets (logic)

Keywords: fuzzy AHP; triangular fuzzy numbers; extent analysis; comparison of fuzzy numbers

Cited in: Zbl 1144.90011

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