Geodesic
Linear and nonlinear fuzzy averages of systems of fuzzy numbers
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2, Tome 209 (2022), pp. 77-87.

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

Linear averages of systems of fuzzy numbers are examined. A class of nonlinear fuzzy average systems of fuzzy numbers is introduced and studied. Fuzzy analogs of numerical inequalities for means are established.
Keywords: fuzzy means of systems of fuzzy numbers, fuzzy averaging operators, inequalities between fuzzy means. 
@article{INTO_2022_209_a6,
     author = {V. L. Khatskevich},
     title = {Linear and nonlinear fuzzy averages of systems of fuzzy numbers},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {77--87},
     publisher = {mathdoc},
     volume = {209},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_209_a6/}
}
TY  - JOUR
AU  - V. L. Khatskevich
TI  - Linear and nonlinear fuzzy averages of systems of fuzzy numbers
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2022
SP  - 77
EP  - 87
VL  - 209
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2022_209_a6/
LA  - ru
ID  - INTO_2022_209_a6
ER  - 
%0 Journal Article
%A V. L. Khatskevich
%T Linear and nonlinear fuzzy averages of systems of fuzzy numbers
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2022
%P 77-87
%V 209
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2022_209_a6/
%G ru
%F INTO_2022_209_a6
V. L. Khatskevich. Linear and nonlinear fuzzy averages of systems of fuzzy numbers. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2, Tome 209 (2022), pp. 77-87. http://geodesic.mathdoc.fr/item/INTO_2022_209_a6/

[2] Averkin A. N., Nechetkie mnozhestva v modelyakh upravleniya i iskustvennogo intellekta, Nauka, M., 1986

[3] Dzhini K., Srednie velichiny, Statistika, M., 1970

[4] Kofman A., Vvedenie v teoriyu nechetkikh mnozhestv, Radio i svyaz, M., 1982 | MR

[5] Pegat A., Nechetkoe modelirovanie i upravlenie, Binom, M., 2015

[6] Posadskii A. I., Sivakova T. V., Sudakov V. A., Agregirovanie nechetkikh suzhdenii ekspertov, https://doi.org/10.20948/prepr-2019-101, Preprint IPM #101, Moskva, 2019

[7] Smolyak S. A., Otsenki effektivnosti investitsionnykh proektov v usloviyakh riska i neopredelennosti, Nauka, M., 2002

[8] Khardi G., Poia D., Littlvud D., Neravenstva, MTsNMO, M., 2008

[9] Khatskevich V. L., “O nekotorykh nelineinykh kharakteristikakh tsentra gruppirovaniya sluchainykh velichin”, Izv. vuzov. Mat., 2020, no. 8, 50–-58 | Zbl

[10] Diamond P., Kloeden P., “Metric spaces of fuzzy sets”, Fuzzy Sets Syst., 35:2 (1990), 241–249 | DOI | MR | Zbl

[11] Dubois D., Prade H., “The mean value of fuzzy number”, Fuzzy Sets Syst., 24 (1987), 279–300 | DOI | MR | Zbl

[12] Feng Y,. Hu L., Shu H., “The variance and covariance of fuzzy random variables”, Fuzzy Syst., 120 (2001), 487–497 | DOI | MR | Zbl

[13] Fuller R., Majlender P., “On weighted possibilistic mean value and variance of fuzzy numbers”, Fuzzy Sets Syst., 136 (2003), 363–374 | DOI | MR | Zbl

[14] Kaleva O., Seikkala S., “On fuzzy metric spaces”, Fuzzy Sets Syst., 12 (1984), 215–229 | DOI | MR | Zbl

[15] Nahmias S., “Fuzzy variables”, Fuzzy Sets Syst., 1 (1978), 97–110 | DOI | MR | Zbl

[16] Nguyen H. T., “A note on the extension principle for fuzzy sets”, J. Math. Anal. Appl., 64 (1978), 369–380 | DOI | MR | Zbl

[17] Nguyen H. T., Wu B., Fundamentals of Statistics with Fuzzy Data, Springer, Berlin, 2006 | Zbl

[18] de la Rosa de Saa S., Gil M. A., Gonsalez-Rodrigues G., Lopez M. T., Lubiano M. A., “Fuzzy rating scale-based questionnaires and their statistical analysis”, IEEE Trans. Fuzzy Syst., 23 (2015), 111–126 | DOI

[19] Zadeh L. A., “The concept of linguistic variable and its application to approximate reasoning”, Inform. Sci., 8 (1975), 199–249 | DOI | MR | Zbl

[20] Zadeh L. A., “The concept of linguistic variable and its application to approximate reasoning, II”, Inform. Sci., 8 (1975), 301–357 | DOI | MR | Zbl

[21] Zadeh L. A., “The concept of linguistic variable and its application to approximate reasoning, III”, Inform. Sci., 9 (1975), 43–80 | DOI | MR | Zbl