Ranking method for Z-numbers based on centroid-point

Abstract

Zadeh introduced the concept of Z-number to provide a basis for computation with numbers that are not completely reliable, and it has the ability to portray fuzziness and reliability of information concurrently. Ranking of Z-numbers is an important aspect, especially in decision making Objective: Ranking method for Z-numbers. Method: By converting Z-number into fuzzy number, and then the centroid-point method and decision rules are used to rank the obtained fuzzy numbers. Results: A ranking method for Z-numbers is proposed, and a numerical example is provided to illustrate the feasibility and validity of the proposed method. Conclusions: However, converting Z-number into fuzzy number can lead to loss of original Z-information.