The covariance of uncertain variables: definition and calculation formulae
Sign Up to like & getrecommendations! Published in 2018 at "Fuzzy Optimization and Decision Making"
DOI: 10.1007/s10700-017-9270-3
Abstract: Uncertainty theory as a branch of axiomatic mathematics has been widely used to deal with human uncertainty. The two commonly used numerical characteristics of uncertain variables, the expected value and the variance together with their… read more here.
Keywords: calculation formulae; uncertain variables; correlation coefficient; covariance ... See more keywords
The Operational Law of Uncertain Variables With Continuous Uncertainty Distributions
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2018.2807378
Abstract: As we know, the classical operational law of uncertain variables initiated by Liu, which gives a major push to the development of uncertainty theory, restricts the uncertain variables being dealt with to those with regular… read more here.
Keywords: variables continuous; operational law; uncertainty distributions; uncertain variables ... See more keywords
An Approximation Method for Variational Inequality with Uncertain Variables
Sign Up to like & getrecommendations! Published in 2023 at "Advances in Mathematical Physics"
DOI: 10.1155/2023/5127277
Abstract: In this paper, a Stieltjes integral approximation method for uncertain variational inequality problem (UVIP) is studied. Firstly, uncertain variables are introduced on the basis of variational inequality. Since the uncertain variables are based on nonadditive… read more here.
Keywords: problem; variational inequality; approximation method; uncertain variables ... See more keywords
Law of Large Numbers, Central Limit Theorem, and Law of the Iterated Logarithm for Bernoulli Uncertain Sequence
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081642
Abstract: In order to describe human uncertainty more precisely, Baoding Liu established uncertainty theory. Thus far, uncertainty theory has been successfully applied to uncertain finance, uncertain programming, uncertain control, etc. It is well known that the… read more here.
Keywords: uncertain variables; limit; law large; large numbers ... See more keywords