ANOVA.TFNs (version 1.0)

Data: Triangular fuzzy data for batteries lifetime

Description

Triangular fuzzy data for the batteries lifetime from assembly lines 1, 2 and 3 in an Iranian factory. The sample sizes of the collected triangular fuzzy data are 10, 8 and 11, respectively.

Usage

data(Data)

Format

A matrix with \(4 \times (10+8+11)\) numbers on the following fuzzy variable.

the car battery length-life

The first three columns of matrix are about TFNsnumber of nonconformities

factor (assembly lines)

number of computers inspected

Details

The inputted data for FANOVA test must be in a above mentioned special format which we named it FANOVA.Data format and some of inputted parameters in the most functions of this package must be in FANOVA.Data format. In fact, the FANOVA.Data is a matrix with \(dim=c(n,4)\) which can be created/simulated by following two steps:

Step 1 (saving/creating TFNs of i-th population in a matrix with \( dim=c(n_i,3))\): Save Triangular Fuzzy Numbers (TFNs) for FANOVA test in length(n) matrix and input each TFN in one row of them such that: 1st column is for Cores of TFNs (with col.name="C"), 2nd column is for Left spreads of TFNs (with col.name="L"), and 3nd column is for Right spreads of TFNs (with col.name="R").

Step 2 (Combine all population data in a matrix with \( dim=c(n,4))\): Put The created matrixes in Step 1, top of each other to create a matrix with \(dim=c(n,4)\) such that: n=sum(n_i), its 1st column is the Core of TFNs (with col.name="C"), its 2nd and 3nd columns are the Left and Right spreads of TFNs (with col.name="L" and col.name="R") respectively, and its 4nd column is the factor which shows the population number for each row (with col.name="factor").

References

A. Parchami, M. Mashinchi, C. Kahraman (2018) An Implication of Fuzzy ANOVA in Vehicle Battery Manufacturing, Journal of Enterprise Information Management, Preprint.

Examples

# NOT RUN {
data(Data)
attach(Data)
summary(Data)
plotTFNs(Data)
detach(Data)

# }