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Iranian Journal of Fuzzy Systems، جلد ۱۹، شماره ۵، صفحات ۶۳-۷۸
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
L-R representation of TA fuzzy arithmetic and its application to solving fuzzy equations |
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| چکیده انگلیسی مقاله |
Fuzzy arithmetic with standard methods such as the extension principle and$alpha $-cut lead to restricted possibilities for solving fuzzy equations.The procedures to find a solution to a fuzzy equality with these methodsrequire strong assumptions and high computation costs. Among severalapproaches dealing with this restrictions this paper focuses on theTransmission Average (TA) fuzzy arithmetic. The shape preservation ofthe TA arithmetic operations on L-R fuzzy numbers is proven. Theseproperties together with some other algebraic properties investigatedin the paper are applied to solve fuzzy polynomial equations as well as systems of linear fuzzy equations in general form. Several examples in the paper present the advantages of TA arithmetic in solving fuzzy equations. It is shown that the results in this paper support the fact that TA arithmetic is an easy to implement approach in fuzzy modeling. |
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| کلیدواژه‌های انگلیسی مقاله |
Fuzzy arithmetic, Fuzzy equality, L-R fuzzy numbers, Transmission average (TA) |
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| نویسندگان مقاله |
G. Soylu |
Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey
M. E. Aslan |
Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey
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| نشانی اینترنتی |
https://ijfs.usb.ac.ir/article_7157_c02a16030c38e93b92342acb0c6ae8de.pdf |
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| کد مقاله (doi) |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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| نوع مقاله منتشر شده |
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