Improved arithmetic operations on generalized fuzzy numbers.
Determining the arithmetic operations of fuzzy numbers is a very important issue in fuzzy sets theory,decision process, data analysis, and applications. In 1985, Chen formulated the arithmetic operations between generalized fuzzy numbers by proposing the function principle. Since then, researchers...
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oai:112.137.131.14:VNU_123-640922019-02-22T02:17:53Z Improved arithmetic operations on generalized fuzzy numbers. Luu, Quoc Dat Canh, Chi Dung Chou, Shuo-Yan Yu, Vincent F The iFUZZY 2013 - 2013 International Conference on Fuzzy Theory and Its Applications. Generalized fuzzy numbers Arithmetic operations Fuzzy MCDM Determining the arithmetic operations of fuzzy numbers is a very important issue in fuzzy sets theory,decision process, data analysis, and applications. In 1985, Chen formulated the arithmetic operations between generalized fuzzy numbers by proposing the function principle. Since then, researchers have shown an increased interest in generalized fuzzy numbers. Most of existing studies done using generalized fuzzy numbers were based on Chen’s (1985) arithmetic operations. Despite its merits, there were some shortcomings associated with Chen’s method. In order to overcome the drawbacks of Chen’s method, this paper develops the extension principle to derive arithmetic operations between generalized trapezoidal (triangular) fuzzy numbers. Several examples demonstrating the usage and advantages of the proposed method are presented. It can be concluded that the proposed method can effectivel resolve the issues with Chen’s method. Finally, the proposed extension principle is applied to solve a multi-criteria decision making (MCDM) problem 2019-02-22T02:14:10Z 2019-02-22T02:14:10Z 2013 Conference paper Luu, Q. D., et al. (2013). Improved arithmetic operations on generalized fuzzy numbers. The iFUZZY 2013 - 2013 International Conference on Fuzzy Theory and Its Applications. http://repository.vnu.edu.vn/handle/VNU_123/64092 10.1109/iFuzzy.2013.6825474 en ©2013 IEEE pp. 407-414 application/pdf IEEE |
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Generalized fuzzy numbers Arithmetic operations Fuzzy MCDM |
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Generalized fuzzy numbers Arithmetic operations Fuzzy MCDM Luu, Quoc Dat Canh, Chi Dung Chou, Shuo-Yan Yu, Vincent F Improved arithmetic operations on generalized fuzzy numbers. |
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Determining the arithmetic operations of fuzzy numbers is a very important issue in fuzzy sets theory,decision process, data analysis, and applications. In 1985,
Chen formulated the arithmetic operations between generalized fuzzy numbers by proposing the function principle. Since then, researchers have shown an increased interest in generalized fuzzy numbers. Most of existing studies done using generalized fuzzy numbers were based on Chen’s (1985) arithmetic operations. Despite its merits, there were some shortcomings associated with Chen’s method. In order to overcome the drawbacks of Chen’s method, this
paper develops the extension principle to derive arithmetic operations between generalized trapezoidal (triangular) fuzzy numbers. Several examples demonstrating the usage and advantages of the proposed method are presented. It can be concluded that the proposed method can effectivel resolve the issues with Chen’s method. Finally, the proposed extension principle is applied to solve a multi-criteria decision making (MCDM) problem |
author2 |
The iFUZZY 2013 - 2013 International Conference on Fuzzy Theory and Its Applications. |
author_facet |
The iFUZZY 2013 - 2013 International Conference on Fuzzy Theory and Its Applications. Luu, Quoc Dat Canh, Chi Dung Chou, Shuo-Yan Yu, Vincent F |
format |
Conference paper |
author |
Luu, Quoc Dat Canh, Chi Dung Chou, Shuo-Yan Yu, Vincent F |
author_sort |
Luu, Quoc Dat |
title |
Improved arithmetic operations on generalized fuzzy numbers. |
title_short |
Improved arithmetic operations on generalized fuzzy numbers. |
title_full |
Improved arithmetic operations on generalized fuzzy numbers. |
title_fullStr |
Improved arithmetic operations on generalized fuzzy numbers. |
title_full_unstemmed |
Improved arithmetic operations on generalized fuzzy numbers. |
title_sort |
improved arithmetic operations on generalized fuzzy numbers. |
publisher |
IEEE |
publishDate |
2019 |
url |
http://repository.vnu.edu.vn/handle/VNU_123/64092 |
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1680964374540320768 |