Comparison of Probability and Possibility for Design Against Catastrophic Failure Under Uncertainty

By E. Nikolaidis, Sophie Chen, H. Cudney, Raphael T. Haftka, Raluca I. Rosca. 2004

140 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/3a7adc53a281b0639b7b416225348cf49a14ad78

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

An inverse analysis method for design optimization with both statistical and fuzzy uncertainties (2008, methodology): “…insufficient information, the Bayesian theory, possibility theory, and evidence theory have recently been introduced in structural analysis and design optimization (Youn and Wang 2006; Choi et al. 2005a, b; Mourelatos and Zhou 2005, 2006; Du et al. 2006; Du and Choi 2006; Nikolaidis et al. 2004).”
The Value of Using Imprecise Probabilities in Engineering Design (2006, methodology): “Some alternatives to precise probabilities, such as fuzzy sets [6, 55], possibility theory [21, 22, 56], fuzzy measures [57], the transferable belief model [58], and the some interpretations of Dempster-Shafer Evidence Theory (see [59] for a discussion of interpretations), abandon the notion of prob”
Reliability sensitivity analysis for structural systems in interval probability form (2011, background): “2006), evidence theory (Christophe and Philippe 2009), possibility theory (Du et al. 2006; Nikolaidis et al. 2004; Zhou and Mourelatos 2008), imprecise probability (Aughenbaugh and Herrmann 2009), fuzzy theory and P-boxes models (Tanrioven et al.”
Imprecise probabilities based on generalised intervals for system reliability assessment (2010, methodology): “Nikolaidis et al. (2004) and Soundappan et al. (2004) used the evidence and possibility theories in robust design under uncertainties against failures.”
Inverse Possibility Analysis Method for Possibility-Based Design Optimization (2006, methodology): “The probability–possibility consistency principle and the least conservative principle [10,11] are used to generate the membership function from the probability density function.”
Unified Uncertainty Analysis by the First Order Reliability Method (2008, background): “Several examples include (1) studies on the relationships and differences between probability and non-probability theories [21, 22]; (2) study on bounding the value of information with epistemic distribution parameters [23]; (3) optimization design by possibility and evidence theory [24, 25]; (4) se”
Application of bootstrap method in conservative estimation of reliability with limited samples (2010, background): “Such approaches have been found to lead to conservative designs (Nikolaidis et al. 2004).”