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• W3210098052 abstract "In a picture fuzzy environment, almost all multiple attribute decision-making ( <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <mtext>MADM</mtext> </math> ) methods have been discussed a type of problem in which there is no relationship among the attributes. Although the relationship among the attributes should be considered in the actual applications, so we need to pay attention to that important issue. This article applied graph theory to the picture fuzzy set ( <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mtext>PFS</mtext> </math> ) and obtained a new method, <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <mtext>MADM</mtext> </math> , to solve complicated problems under a picture fuzzy environment. The developed method can capture the relationship among the attributes that cannot be handled well by any existing methods. This study introduces union, intersection, sum, Cartesian product, the composition of picture fuzzy graphs ( <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <mtext>PFG</mtext> </math> s), and their important properties. Finally, by considering the importance of relationships among attributes in the determination process, two algorithms, based on <math xmlns=http://www.w3.org/1998/Math/MathML id=M5> <mtext>PFG</mtext> </math> , have developed to solve complicated problems using picture fuzzy information. Also, two numerical examples have introduced to explain how to deal with the <math xmlns=http://www.w3.org/1998/Math/MathML id=M6> <mtext>MADM</mtext> </math> problem under picture fuzzy environment." @default.
• W3210098052 created "2021-11-08" @default.
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• W3210098052 date "2021-10-21" @default.
• W3210098052 modified "2023-10-16" @default.
• W3210098052 title "Multiple Attribute Decision-Making Problem Using Picture Fuzzy Graph" @default.
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• W3210098052 doi "https://doi.org/10.1155/2021/9937828" @default.
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