Geodesic
Properties of the possibility distribution parameters of the expected value of a weighted sum of fuzzy random variables
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 13 (2018) no. 1, pp. 81-93

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The paper studies properties of the parameters of the possibility distribution of the expected value of a linear function of fuzzy random variables in the case when fuzzy parameters are related by the weakset (drastic) $t$-norm. Criteria of existence and continuity of coefficients of fuzzines are presented.
Keywords: fuzzy random variable, the expected value of fuzzy random variable, the weakest $t$-norm, weighted sum of fuzzy random variables, possibilistic-probabilistic optimization. 
@article{FSSC_2018_13_1_a5,
     author = {Yu. E. Egorova},
     title = {Properties of the possibility distribution parameters of the expected value of a weighted sum of fuzzy random variables},
     journal = {Ne\v{c}etkie sistemy i m\^agkie vy\v{c}isleni\^a},
     pages = {81--93},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FSSC_2018_13_1_a5/}
}
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Yu. E. Egorova. Properties of the possibility distribution parameters of the expected value of a weighted sum of fuzzy random variables. Nečetkie sistemy i mâgkie vyčisleniâ, Tome 13 (2018) no. 1, pp. 81-93. http://geodesic.mathdoc.fr/item/FSSC_2018_13_1_a5/