Geodesic
Comparison of triangular fuzzy numbers
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 29 (2019) no. 2, pp. 197-210 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. I. Ukhobotov; I. S. Stabulit; K. N. Kudryavtsev. Comparison of triangular fuzzy numbers. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 29 (2019) no. 2, pp. 197-210. http://geodesic.mathdoc.fr/item/VUU_2019_29_2_a4/

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