Towards Generalizing Bayesian Statistics: A Random Fuzzy Set Approach

2014 ◽  
pp. 149-160
Author(s):  
Hien D. Tran ◽  
Phuong Anh Nguyen
Keyword(s):  
Bayesian Statistics ◽  
Fuzzy Set

scholarly journals Trends in Fuzzy Statistics

2016 ◽  
Vol 32 (3) ◽  
pp. 239-257 ◽  
Author(s):  
S. Mahmoud Taheri
Keyword(s):  
Bayesian Statistics ◽  
Statistical Methods ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Fuzzy Regression ◽  
Hypotheses Testing ◽  
Fuzzy Statistics ◽  
Fuzzy Hypotheses

After introducing and developing fuzzy set theory, a lot of studies have been done to combine statistical methods and fuzzy set theory. Thisworks, called fuzzy statistics, have been developed in some branches.In this article we review essential works on fuzzy estimation, fuzzy hypotheses testing, fuzzy regression, fuzzy Bayesian statistics, and some relevant fields.

Design of an Aircraft Tire: A Study in Modeling Uncertainty

1992 ◽  
Author(s):  
S. Vadde ◽  
S. Swadi ◽  
N. Bhattacharya ◽  
F. Mistree ◽  
J. K. Allen
Keyword(s):  
Decision Support ◽  
Bayesian Statistics ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Model Uncertainty ◽  
Design Problems ◽  
Modeling Uncertainty ◽  
Imprecise Information ◽  
Uncertainty In Design

Abstract During the early stages of project initiation, the information available to a designer may be uncertain (imprecise or stochastic). In response to this need, two extensions of the crisp compromise Decision Support Problem using fuzzy set theory and Bayesian statistics are developed to model uncertainty in design problems. The fuzzy compromise DSP is used to model imprecise information and the Bayesian compromise DSP is used to model stochastic information. The design of an aircraft tire is used as an illustrative example.

Is Psychology a Science or a Fuzzy Set?

1978 ◽  
Vol 23 (5) ◽  
pp. 319-320
Author(s):  
LEWIS WOLFGANG BRANDT
Keyword(s):  
Fuzzy Set

Using Bayesian Statistics for Evaluating the Adaptive Toolbox Approach

2011 ◽  
Author(s):  
Benjamin Scheibehenne ◽  
Jorg Rieskamp ◽  
Eric Jan Wagenmakers
Keyword(s):  
Bayesian Statistics ◽  
Adaptive Toolbox

Methodology of ECG Interpretation in the Padova Program

1990 ◽  
Vol 29 (04) ◽  
pp. 386-392 ◽  
Author(s):  
R. Degani ◽  
G. Bortolan
Keyword(s):  
Decision Making ◽  
Medical School ◽  
Fuzzy Set ◽  
Medical Knowledge ◽  
Main Aspect ◽  
Measurement Evaluation ◽  
Possibility Distributions ◽  
Linguistic Decision Making ◽  
The University ◽  
Ecg Interpretation

AbstractThe main lines ofthe program designed for the interpretation of ECGs, developed in Padova by LADSEB-CNR with the cooperation of the Medical School of the University of Padova are described. In particular, the strategies used for (i) morphology recognition, (ii) measurement evaluation, and (iii) linguistic decision making are illustrated. The main aspect which discerns this program in comparison with other approaches to computerized electrocardiography is its ability of managing the imprecision in both the measurements and the medical knowledge through the use of fuzzy-set methodologies. So-called possibility distributions are used to represent ill-defined parameters as well as threshold limits for diagnostic criteria. In this way, smooth conclusions are derived when the evidence does not support a crisp decision. The influence of the CSE project on the evolution of the Padova program is illustrated.

Sign in / Sign up

Export Citation Format

Share Document