A GP-AHP Method for solving group decision-making fuzzy AHP Problems

Authors:
Chian-Son Yu
Affiliations:
Department of Information Management, Shih Chien University, Taipei 10497, Taiwan, ROC
Venue:
Computers and Operations Research
Year:
2002

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Abstract

The analytic hierarchy process (AHP) elicits a corresponding priority vector interpreting the preferred information from the decision-maker(s), based on the pairwise comparison values of a set of objects. Since pairwise comparison values are the judgments obtained from an appropriate semantic scale, in practice the decision-maker(s) usually give some or all pair-to-pair comparison values with an uncertainty degree rather than precise ratings. By employing the property of goal programming (GP) to treat a fuzzy AHP problem, this paper incorporates an absolute term linearization technique and a fuzzy rating expression into a GP-AHP model for solving group decision-making fuzzy AHP problems. In contrast to current fuzzy AHP methods, the GP-AHP method developed herein can concurrently tackle the pairwise comparison involving triangular, general concave and concave-convex mixed fuzzy estimates under a group decision-making environment.