Journal
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
Volume 9, Issue 4, Pages 713-719Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s13042-016-0604-1
Keywords
Multiple attribute decision making; Picture fuzzy set; Picture fuzzy ideal point; Projection model; Included angle
Categories
Funding
- National Natural Science Foundation of China [61174149, 71571128]
- Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [15XJA630006, 15YJCZH138]
- construction plan of scientific research innovation team for colleges and universities in Sichuan Province [15TD0004]
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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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