Geodesic
Comparison of triangular fuzzy numbers
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 29 (2019) no. 2, pp. 197-210

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{VUU_2019_29_2_a4,
     author = {V. I. Ukhobotov and I. S. Stabulit and K. N. Kudryavtsev},
     title = {Comparison of triangular fuzzy numbers},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {197--210},
     publisher = {mathdoc},
     volume = {29},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2019_29_2_a4/}
}
TY  - JOUR
AU  - V. I. Ukhobotov
AU  - I. S. Stabulit
AU  - K. N. Kudryavtsev
TI  - Comparison of triangular fuzzy numbers
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2019
SP  - 197
EP  - 210
VL  - 29
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2019_29_2_a4/
LA  - ru
ID  - VUU_2019_29_2_a4
ER  - 
%0 Journal Article
%A V. I. Ukhobotov
%A I. S. Stabulit
%A K. N. Kudryavtsev
%T Comparison of triangular fuzzy numbers
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2019
%P 197-210
%V 29
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2019_29_2_a4/
%G ru
%F VUU_2019_29_2_a4
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/