首页|A Multiple Attribute Decision Making Method Based on Uncertain Linguistic Heronian Mean

A Multiple Attribute Decision Making Method Based on Uncertain Linguistic Heronian Mean

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The Heronian mean is a useful aggregation operator which can capture the interrelationship of the input arguments. In this paper, we develop some Heronian means based on uncertain linguistic variables, such as the generalized uncertain linguistic Heronian mean (GULHM) and uncertain linguistic geometric Heronian mean (ULGHM), and some of their desirable properties are also investigated. Considering the different importance of the input arguments, we define the generalized uncertain linguistic weighted Heronian mean (GULWHM) and uncertain linguistic weighted geometric Heronian mean (ULWGHM). Then, a method of multiple attribute decision making under uncertain linguistic environment is presented based on the GULWHM or the ULWGHM. In the end, an example is given to demonstrate the effectiveness and feasibility of the proposed method.

Xiaodi Liu、Jianjun Zhu、Guodong Liu、Jingjing Hao

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College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China,School of Mathematics and Physics, Anhui University of Technology, Ma'anshan 243002, China

College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China,Logistics School, Linyi University, Linyi 276000, China

2013

Mathematical problems in engineering

Mathematical problems in engineering

EISCI
ISSN:1024-123X
年,卷(期):2013.2013(pt.11)
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