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Russia Chelyabinsk
Section Mathematics
Title Comparison of triangular fuzzy numbers
Author(-s) Ukhobotov V.I.a, Stabulit I.S.ab, Kudryavtsev K.N.ab
Affiliations Chelyabinsk State Universitya, South Ural State Universityb
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
UDC 519.816
MSC 03B52, 68T37
DOI 10.20537/vm190205
Received 21 March 2019
Language Russian
Citation Ukhobotov V.I., Stabulit I.S., Kudryavtsev K.N. Comparison of triangular fuzzy numbers, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2019, vol. 29, issue 2, pp. 197-210.
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