A granulation of linguistic information in AHP decision-making problems

Authors:
Witold Pedrycz;Mingli Song
Affiliations:
Department of Electrical & Computer Engineering, University of Alberta, Edmonton, T6R 2G7 AB, Canada and Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz U ...;Department of Electrical & Computer Engineering, University of Alberta, Edmonton, T6R 2G7 AB, Canada
Venue:
Information Fusion
Year:
2014

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Abstract

To be fully utilized, linguistic information present in decision-making, has to be made operational through information granulation. This study is concerned with information granulation present in the problems of Analytic Hierarchy Process (AHP), which is available in the characterization of a pairwise assessment of alternatives studied in the decision-making problem. The granulation of entries of reciprocal matrices forming the cornerstone of the AHP is formulated as a optimization problem in which an inconsistency index is minimized by a suitable mapping of the linguistic terms on the predetermined scale. Particle Swarm Optimization is used as an optimization framework. Both individual and group decision-making models of AHP are discussed.