Fuzzy set theory, Advanced Statistics

A radically different approach of dealing with the uncertainty than the traditional probabilistic and the statistical methods. The necessary feature of the fuzzy set is a membership function which assigns the grade of membership between 0 and 1 to each and every member of the set. 


Mathematically the membership function of a fuzzy set A is a mapping from a space χ to unit interval

2335_fuzzy set theory].png 

As the memberships take their values in the unit interval, it is appealing to think of them as probabilities; though, memberships do not follow the laws of probability and it is possible to permit an object to simultaneously hold the nonzero degrees of membership in sets traditionally considered to be mutually exclusive.

The methods which are derived from the theory have been proposed as an alternatives to traditional statistical methods in areas like quality linear regression, control and forecasting, though they have not met with the universal acceptance and a number of statisticians have commented that they could not found any solution using such an approach which could not have been achieved as least as effectively using the probability and statistics.

Posted Date: 7/28/2012 2:50:38 AM | Location : United States







Related Discussions:- Fuzzy set theory, Assignment Help, Ask Question on Fuzzy set theory, Get Answer, Expert's Help, Fuzzy set theory Discussions

Write discussion on Fuzzy set theory
Your posts are moderated
Related Questions
Over dispersion is the phenomenon which occurs when empirical variance in the data exceeds the nominal variance under some supposed model. Most often encountered when the modeling

It is the art of attempting to exchange something quite small and certain, for something which are large and uncertain. Gambling is big business; in the US, for instance, it is at

1) Has smartphones affected the consumer behavior? If so How ? And how is it going to change in future? 2) Forecasting of Mobile market (Time series analysis) 3) Comparison of fou

Records on the computer manufacturing process at Pratt-Zungia Limited show that the percentage of defective computers sent to  customers has been 5% over the last few years. Shipme

Atomistic fallacy : A fallacy which arises because of the association between two variables at the individual level might vary from the association between the same two variables m

For a career woman, wearing lipstick has become an integral part of her daily life. It is not unusual for a woman to look for a lipstick that will stay on her lips and not smudge


Quantalassay:  The experiment in which the groups of subjects are exposed to the different doses of, generally, a drug, to which the particular number respond. Data from such type

Cohort component method : A broadly used method or technique of forecasting the age- and sex-speci?c population to the upcoming years, in which the initial population is strati?ed

Nuisance parameter : The parameter of the model in which there is no scienti?c interest but whose values are generally required (but in usual are unknown) to make inferences about