SOME GEOMETRIC AGGREGATION OPERATORS BASED ON PICTURE FUZZY SETS AND THEIR APPLICATION IN MULTIPLE ATTRIBUTE DECISION MAKING

Authors

  • Chunyong Wang Hezhou University - College of Science
  • Xiaoqiang Zhou Hunan Institute of Science and Technology - College of Mathematics
  • Huonian Tu Guangxi University of Finance and Economics - Institute of Statistics
  • Shengda Tao Hezhou University - College of Science

Keywords:

picture fuzzy set, picture fuzzy number, picture fuzzy geometric aggregation operator, multiple attribute decision making

Abstract

In this paper, we investigate the multiple attribute decision making (MADM) problems with picture fuzzy information.  Firstly, concepts and some operational laws of picture fuzzy sets are introduced.  Then, we develop some picture fuzzy geometric operators and discuss their basic properties.  Next, we apply the proposed operators to deal with multiple attribute decision making problems under picture fuzzy environment.  Finally, an illustrative example is given to demonstrate the practicality and effectiveness of our proposed method. 

Cover of n°37 Italian Journal of Pure and Applied Mathematics

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Published

2017-01-31

How to Cite

Wang, C., Zhou, X., Tu, H., & Tao, S. (2017). SOME GEOMETRIC AGGREGATION OPERATORS BASED ON PICTURE FUZZY SETS AND THEIR APPLICATION IN MULTIPLE ATTRIBUTE DECISION MAKING. Italian Journal of Pure and Applied Mathematics, 37, 477–492. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6684

Issue

N°37 - January 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Chunyong Wang, Xiaoqiang Zhou, Huonian Tu, Shengda Tao

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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