Journal
SYMMETRY-BASEL
Volume 11, Issue 1, Pages -Publisher
MDPI
DOI: 10.3390/sym11010006
Keywords
MADM; picture fuzzy set (PFS); PFMM operator; PFWMM operator; PFDMM operator; PFWDMM operator; financial investment risk
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Funding
- National Natural Science Foundation of China [71571128]
- Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [16XJA630005]
- Construction Plan of Scientific Research Innovation Team for Colleges and Universities in Sichuan Province [15TD0004]
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In this article, we study multiple attribute decision-making (MADM) problems with picture fuzzy numbers (PFNs) information. Afterwards, we adopt a Muirhead mean (MM) operator, a weighted MM (WMM) operator, a dual MM (DMM) operator, and a weighted DMM (WDMM) operator to define some picture fuzzy aggregation operators, including the picture fuzzy MM (PFMM) operator, the picture fuzzy WMM (PFWMM) operator, the picture fuzzy DMM (PFDMM) operator, and the picture fuzzy WDMM (PFWDMM) operator. Of course, the precious merits of these defined operators are investigated. Moreover, we have adopted the PFWMM and PFWDMM operators to build a decision-making model to handle picture fuzzy MADM problems. In the end, we take a concrete instance of appraising a financial investment risk to demonstrate our defined model and to verify its accuracy and scientific merit.
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