Fuzzy Process, Hybrid Process and Uncertain Process
By Baoding Liu. 2008
871 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/41d014cdf2d3f0891088eca5f579d5467ddc230f
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Citations in the corpus
- Some Research Problems in Uncertainty Theory (2009, background): “In order to ensure that the number M{Λ} has certain mathematical properties, Liu [9] proposed the following four axioms: Axiom 1.”
- A numerical method for solving uncertain differential equations (2013, background): “The study of uncertain process was started by Liu [6] in 2008.”
- Asian Option Pricing Formula for Uncertain Financial Market (2015, methodology): “(Liu [12]) Let T be an index set and let ( ,L,M) be an uncertainty space.”
- Uncertain Risk Analysis and Uncertain Reliability Analysis (2010, background): “Uncertain differential equation was proposed by Liu [7] in 2008 as a type of differential equation driven by canonical process.”
- Existence and uniqueness of the solution to uncertain fractional differential equation (2015, background): “Liu [20] defined uncertain process as a function Xt from S × ( ,L,M) to the set of real numbers where S is a totally ordered set such that {Xt ∈ B} is an event for any Borel set B at each time t ∈ S.”
- Toward uncertain finance theory (2013, methodology): “After uncertain differential equation was proposed by Liu [3] as a differential equation involving uncertain process, an existence and uniqueness theorem of a solution of uncertain differential equation was proved by Chen and Liu [5] under linear growth condition and Lipschitz continuous condition.”
- Uncertain Programming Model for Chinese Postman Problem with Uncertain Weights (2012, background): “For instance, Liu (2008) proposed uncertain processes which is a sequence of uncertain variables indexed by time or space.”
- Uncertainty Theory (2004, unknown): “The study of uncertain process was started by Liu [78] in 2008 for modelling the evolution of uncertain phenomena.”
- Expected Value of Function of Uncertain Variables (2010, background): “After that, uncertain entailment was developed by Liu [10] as a methodology for calculating the truth value of an uncertain formula via the maximum uncertainty principle when the truth values of other uncertain formulas are given.”
- B-Spline Method of Uncertain Statistics with Applications to Estimate Travel Distance (2012, background): “As a model for dealing with human uncertainty, this theory has been successfully applied to many fields: uncertain programming [12], uncertain logic [15], uncertain control [14] and uncertain finance [10].”
- Uncertain programming model for uncertain optimal assignment problem (2013, background): “Based on uncertain calculus, Liu [19] introduced uncertain differential equation.”
- Geometric Average Asian Option Pricing for Uncertain Financial Market (2014, background): “1 ([6]) Suppose Ct is a canonical Liu process, and f and g are two functions.”
- Liu process and uncertain calculus (2013, methodology): “([9]) Suppose Ct is a canonical Liu process, and f and g are some given functions.”
- Fixed Charge Transportation Problem and Its Uncertain Programming Model (2012, background): “In theoretical aspect, Liu (2008) proposed an uncertain process which is a sequence of uncertain variables indexed by time or space and uncertain differential equation which is a type of differential equation by canonical process in 2008.”