Geodesic
On some properties of fuzzy expectations and nonlinear fuzzy expectations of fuzzy-random variables
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2022), pp. 97-109

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For fuzzy expectations of fuzzy-random variables, the properties of idempotence, homoge-neity, additivity, monotonicity, extreme property, which are modifications of the properties of mathematical expectations of real random variables, are established. Nonlinear fuzzy expectations are introduced, which are analogs of nonlinear associative means. Their properties are established.
Keywords: fuzzy-random variable, fuzzy expectations of fuzzy-random variables, nonlinear fuzzy expectations. 
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     author = {V. L. Khatskevich},
     title = {On some properties of fuzzy expectations and nonlinear fuzzy expectations of fuzzy-random variables},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {97--109},
     publisher = {mathdoc},
     number = {11},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_11_a6/}
}
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V. L. Khatskevich. On some properties of fuzzy expectations and nonlinear fuzzy expectations of fuzzy-random variables. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2022), pp. 97-109. http://geodesic.mathdoc.fr/item/IVM_2022_11_a6/