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International Journal of Machine Learning and Cybernetics
Published in: International Journal of Machine Learning and Cybernetics 4/2018

29-09-2016 | Original Article

Projection models for multiple attribute decision making with picture fuzzy information

Authors: Guiwu Wei, Fuad E. Alsaadi, Tasawar Hayat, Ahmed Alsaedi

Published in: International Journal of Machine Learning and Cybernetics | Issue 4/2018

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Abstract

In this paper, we investigate the picture fuzzy multiple attribute decision making problems where the attribute values are expressed in picture fuzzy numbers. We introduce some notions, such as picture fuzzy ideal point, the modules of picture fuzzy numbers. We also introduce the cosine of the included angle between the attribute value vectors of each alternative and the picture fuzzy ideal point. Then we establish the projection model to measure the similarity degrees between each alternative and the picture fuzzy ideal point. Based on the projection models, we can rank the given alternatives and then select the most desirable one. Finally, we illustrate the developed projection models with a numerical example for potential evaluation of emerging technology commercialization.
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Metadata
Title
Projection models for multiple attribute decision making with picture fuzzy information
Authors
Guiwu Wei
Fuad E. Alsaadi
Tasawar Hayat
Ahmed Alsaedi
Publication date
29-09-2016
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 4/2018
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-016-0604-1

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