Theory and Practice of Uncertain Programming
By Baoding Liu. Studies in Fuzziness and Soft Computing, 2003
1,514 citations recorded by the source corpus.
Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/2e772ea12b613cf1d9fb3a8e2266c05feefce175
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In Control and Systems Engineering
In Management Science and Operations Research
In Statistics and Probability
Citations in the corpus
- Fixed Charge Transportation Problem and Its Uncertain Programming Model (2012, background): “In practical aspect, Liu (2009b) designed uncertain programming that is a type of mathematical programming involving uncertain variables, which has been used to model system reliability design, project scheduling problem, vehicle routing problem and facility location problem.”
- Mean-variance-skewness model for portfolio selection with fuzzy returns (2010, methodology): “In addition, we write q 1⁄4 E1⁄2n1x1 þ n2x2 þ þ nnxn which may be calculated by fuzzy simulation [12].”
- Mean-variance models for portfolio selection with fuzzy random returns (2009, methodology): “For this purpose, we employ the concept of Pareto solution, which means that it is impossible to improve any one objective without sacrificing on one or more of the other objectives [ 30 ].”
- A sufficient and necessary condition of uncertainty distribution (2010, methodology): “An uncertain variable is a measurable function ξ10 from an uncertainty space (Γ ,L,M) to the set of real numbers, i.e., for any Barrel set B of real numbers, the set12 {ξ ∈ B} = {γ ∈ Γ |ξ(γ) ∈ B} is an event.14 Definition 2.3 (Liu [6]).”
- Uncertain Entailment and Modus Ponens in the Framework of Uncertain Logic (2009, methodology): “As an application of uncertainty theory, Liu [11] proposed a spectrum of uncertain programming which is a type of mathematical programming involving uncertain variables, and applied uncertain programming to industrial engineering and management science.”
- Extreme values and integral of solution of uncertain differential equation (2013, background): “So far, it has been applied to many areas, and has brought many branches such as uncertain programming (Liu [5]), uncertain risk analysis (Liu [6]), uncertain inference (Liu [7]), uncertain logic (Liu [8]), and uncertain statistics (Liu [4]).”