An extension of the Promethee II method based on generalized fuzzy numbers

Authors:
Wei-xiang Li;Bang-yi Li
Affiliations:
College of Automation and Electrical Engineering, Nanjing University of Technology, Nanjing 210009, China and College of Economics and Management, Nanjing University of Aeronautics and Astronautic ...;College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Venue:
Expert Systems with Applications: An International Journal
Year:
2010

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Abstract

This paper present a new extension Promethee II method based on generalized fuzzy numbers. Considering the fuzziness in the decision data, linguistic variables that can be expressed in generalized fuzzy numbers are used, to assess the weights of all criteria and the ratings of each alternative with respect to each criterion. The proposed method considers the difference between each point in two interval numbers based on the @a-cut of generalized fuzzy numbers, simultaneously, the defuzzified values, the height and the spreads of generalized fuzzy numbers, achieves the ranking order of every alternative.