Study on Consistency and the Related Problems for Judgment Matrix with Linguistic Assessment Information
Fan Zhi-ping · Systems Engineering - Theory & Practice · 2004
This paper has studied the consistency and ranking problem for judgment matrix with linguistic assessment information. Based on the related concepts of judgment matrix with linguistic assessment information and the measure of ordered linguistic terms, it puts forward the concepts on the complete consistency and the satisfied consistency for judgment matrix with linguistic assessment information in theory , transforming judgment matrix with linguistic assessment information into digital matrix through introducing the educed matrix, the approaches are proposed theoretically to judge the complete consistency and the satisfied consistency for judgment matrix with linguistic assessment information. A simple algorithm for ranking alternatives is also developed. Finally, two examples are chosen to illustrate the consistency judgment approaches and the ranking approach of alternatives.