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This article is cited in 2 scientific papers (total in 2 papers)
MATHEMATICS
Comparison of triangular fuzzy numbers
V. I. Ukhobotova, I. S. Stabulitb, K. N. Kudryavtsevb a Chelyabinsk State University, ul. Brat’ev Kashirinykh, 129, Chelyabinsk,
454001, Russia
b South Ural State University, pr. Lenina, 76, Chelyabinsk, 454080, Russia
Abstract:
Difficulties in comparing fuzzy numbers occur in many applied problems. There are different approaches to dealing with the above difficulties. These approaches are determined by the specificity of the problems under consideration. The approach proposed in this article for comparing fuzzy numbers is as follows. First, a rule is constructed for comparing a real number with the $\alpha$-level set of a fuzzy number. Then, using the procedure of averaging over $\alpha$, a rule is constructed for comparing a real number with a fuzzy number. By means of the procedure for separating two fuzzy numbers with the help of a real number, a rule for comparing fuzzy numbers is introduced. Based on the developed approach, the rule for defuzzification of fuzzy numbers is proposed. As an example, triangular fuzzy numbers are considered.
Keywords:
comparison of fuzzy numbers, defuzzification, triangular fuzzy numbers.
Received: 21.03.2019
Citation:
V. I. Ukhobotov, I. S. Stabulit, K. N. Kudryavtsev, “Comparison of triangular fuzzy numbers”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:2 (2019), 197–210
Linking options:
https://www.mathnet.ru/eng/vuu676 https://www.mathnet.ru/eng/vuu/v29/i2/p197
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Abstract page: | 356 | Full-text PDF : | 196 | References: | 27 |
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