Journal
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
Volume 19, Issue 4, Pages 997-1010Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40815-016-0266-x
Keywords
Multiple attribute decision making; Picture 2-tuple linguistic set; Picture 2-tuple linguistic Bonferroni mean (P2TLBM) operator; Picture 2-tuple linguistic geometric Bonferroni mean (P2TLGBM) operator; Picture 2-tuple linguistic weighted Bonferroni mean (P2TLWBM) operator; Picture 2-tuple linguistic weighted geometric Bonferroni mean (P2TLWGBM) operator; Service outsourcing provider; Communications industry
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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 multiple attribute decision-making problems with picture 2-tuple linguistic information. Then, we utilize Bonferroni mean and geometric Bonferroni mean operations to develop some picture 2-tuple linguistic aggregation operators: picture 2-tuple linguistic Bonferroni mean operator and picture 2-tuple linguistic geometric Bonferroni mean operator. Some desired properties and special cases of the developed operators are discussed in detail. Furthermore, considering the importance of the input arguments, we propose the picture 2-tuple linguistic weighted Bonferroni mean operator and picture 2-tuple linguistic weighted geometric Bonferroni mean operator. Finally, a practical example for selecting the service outsourcing provider of communications industry is given to verify the developed approach and to demonstrate its practicality and effectiveness.
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