Papers
Measuring in Weighted Environments: Moving from Metric to Order Topology
Author(s)Claudio Garuti
Fulcrum Engineering
University of Chile
Chile
Publication date: Aug, 2016
Journal: Applications and Theory of Analytic Hierarchy Process - Decision Making for Strategic Decisions
Abstract: This is a chapter in the book: Applications and Theory of Analytic Hierarchy Process - Decision Making for Strategic Decisions. This chapter addresses the problem of measuring closeness in weighted environments (decision-making environments). This chapter show the importance of having a trustworthy cardinal measure of proximity in weighted environments. A weighted environment is a nonisotropic structure where different directions (axes) may have different importance (weight), thus there exist privilege directions. In this kind of structure, it would be very important to have a cardinal reliable index that can say the closeness or compatibility of a set of measures of one individual with respect to the group or to anyone other. Common examples of this structure are the interaction between factors in a decision-making process (system-values interaction), matching profiles, pattern recognition, and any situation where a process of measurement with qualitative variables is involved.
Keywords: Compatibility index G, Measurement, Decision making, Analytic Hierarchy Process, AHP