2008•Journal of systems engineeringRequires access

Consistency and weight estimation of three-point interval number comparison matrix

Jianjun Zhu, Chuanping Song, Sifeng Liu, Hehua Wang, Mengguang Wang

Abstract

A new uncertainty comparison matrix—three-point interval number comparison matrix is put forward and its consistency and weight estimation approach are studied.Based on the complete consistency definition of three-point interval number comparison matrix,the possible value error and the upper- low error are defined.Following that,a weight model of three-point interval number com- parison matrixes is proposed.In second stage,a weight low-upper region estimation model is devel- oped to solve the misleading problem owing to the judgment error of decision maker.The properties of these models are studied.In the last,the model validity is demonstrated by examples.

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Key concepts: Consistency (knowledge bases), Mathematics, Interval (graph theory), Matrix (chemical analysis), Interval estimation, Point (geometry), Value (mathematics), Statistics