[BOOK][B] Uncertainty theory

DB Liu, DB Liu - 2007 - Springer
A classical measure is essentially a set function satisfying nonnegativity and countable
additivity axioms. However, the additivity axiom of classical measure theory has been …

Strategic capacity planning for smart production: Decision modeling under demand uncertainty

CF Chien, R Dou, W Fu - Applied Soft Computing, 2018 - Elsevier
Semiconductor manufacturing is a capital-intensive industry that capital utilization rate
significantly affect the capacity effectiveness and final profit. Capacity portfolio planning …

Mean-variance model for portfolio optimization problem in the simultaneous presence of random and uncertain returns

Z Qin - European Journal of Operational Research, 2015 - Elsevier
The determination of security returns will be associated with the validity of the corresponding
portfolio selection models. The complexity of real financial market inevitably leads to …

Consensus modeling with cost chance constraint under uncertainty opinions

X Tan, Z Gong, F Chiclana, N Zhang - Applied Soft Computing, 2018 - Elsevier
Goal programming is often applied into uncertain group decision making to achieve the
optimal solution. Exiting models focus on either the minimum cost (guaranteeing negotiation …

[HTML][HTML] Reliability analysis for the fractional-order circuit system subject to the uncertain random fractional-order model with Caputo type

T **, S Gao, H **a, H Ding - Journal of Advanced Research, 2021 - Elsevier
Introduction According to the competing failure theorem, the fractional-order Resistor
Capacitance (RC) circuit system suffers not only from internal degradation but also from …

Chance constraints and machine learning integration for uncertainty management in virtual power plants operating in simultaneous energy markets

J Aguilar, C Bordons, A Arce - International Journal of Electrical Power & …, 2021 - Elsevier
The management of uncertainty is one of the most important issues affecting the optimal
operation of Distributed Energy Resources (DERs). Virtual Power Plants (VPPs) aggregate …

Risk assessment of uncertain random system—Level-1 and level-2 joint propagation of uncertainty and probability in fault tree analysis

L Hu, R Kang, X Pan, D Zuo - Reliability Engineering & System Safety, 2020 - Elsevier
Uncertainty analysis plays a significant role in risk assessment, which consists of two tasks:
uncertainty expressions of input variables in the model and their propagations through the …

Law of large numbers for uncertain random variables

K Yao, J Gao - IEEE Transactions on Fuzzy Systems, 2015 - ieeexplore.ieee.org
The law of large numbers in probability theory states that the average of random variables
converges to its expected value in some sense under some conditions. Sometimes, random …

Reliability analysis in uncertain random system

M Wen, R Kang - Fuzzy Optimization and Decision Making, 2016 - Springer
Reliability analysis of a system based on probability theory has been widely studied and
used. Nevertheless, it sometimes meets with one problem that the components of a system …

Uncertain programming model for multi-item solid transportation problem

H Dalman - International Journal of Machine Learning and …, 2018 - Springer
In this paper, an uncertain Multi-objective Multi-item Solid Transportation Problem (MMSTP)
based on uncertainty theory is presented. In the model, transportation costs, supplies …