A Fuzzy Weights Representation for Inner Dependence AHP | Zendy

Shin−ichi Ohnishi | Zendy; Takahiro Yamanoi | Zendy; Hideyuki Imai | Zendy

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A Fuzzy Weights Representation for Inner Dependence AHP

Author(s) -

Shin−ichi Ohnishi,

Takahiro Yamanoi,

Hideyuki Imai

Publication year - 2011

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2011.p0329

Subject(s) - analytic hierarchy process , weighting , computer science , fuzzy logic , representation (politics) , matrix (chemical analysis) , reliability (semiconductor) , mathematical optimization , mathematics , artificial intelligence , data mining , operations research , power (physics) , politics , political science , law , medicine , materials science , physics , quantum mechanics , composite material , radiology

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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