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An expert module to improve the consistency of AHP matrices
Author(s) -
Ishizaka A.,
Lusti M.
Publication year - 2004
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/j.1475-3995.2004.00443.x
Subject(s) - transitive relation , analytic hierarchy process , pairwise comparison , consistency (knowledge bases) , prolog , reciprocity (cultural anthropology) , computer science , decision maker , process (computing) , matrix (chemical analysis) , hierarchy , decision matrix , theoretical computer science , data mining , operations research , mathematical economics , mathematics , artificial intelligence , programming language , combinatorics , economics , psychology , social psychology , materials science , market economy , composite material
In AHP (Analytical Hierarchy Process), the calculated priorities are plausible only if the comparison matrices are consistent or near consistent. This condition is reached if—within the pairwise comparison process—the transitivity and reciprocity rules are respected. We describe a Prolog application which helps the decision‐maker to build a consistent matrix or a matrix with a controlled error. An expert module detects rule transgressions, explains them (How‐explanations), suggests alternatives (What If‐explanations) and gives hints on how to continue the comparison process.