# T: Class of triangular fuzzy numbers In Fuzzy.p.value: Computing Fuzzy p-Value

### Description

The are several famous fuzzy sets which have meaningful means and are user friendly for introducing. Several linear functions are constructed in this package for easily inspiration to the fuzzy concepts \ll approximately smaller \gg , \ll approximately bigger \gg and \ll approximately equal \gg. For example, function T is one of them which users can use it to construct the fuzzy concept \ll approximately equal \gg in fuzzy statistics and fuzzy hypotheses. As presented bellow, the membership function of fuzzy set T has three parameters a, b and c:

T(a,b,c)(x)=≤ft\{ \begin{array}{lcc} \frac{x-a}{b-a} &\ \ if & \ \ a < x ≤q b \\ \frac{x-c}{b-c} &\ \ if & \ \ b < x ≤q c \\ 0 &\ \ if & \ \ elsewhere \end{array} \right.

### Usage

 1 T(a, b, c) 

### Arguments

 a Considering the introduced above membership function, the first parameter is the first point of the support of triangular fuzzy number. b The second parameter is the core of triangular fuzzy number. c The third parameter is the end point of the support of triangular fuzzy number.

### Value

This function easily introduce the membership function of a triangular fuzzy number.

### References

Parchami, A., Taheri, S. M., and Mashinchi, M. (2010). Fuzzy p-value in testing fuzzy hypotheses with crisp data. Statistical Papers 51: 209-226.

Parchami, A., Taheri, S. M., and Mashinchi, M. (2012). Testing fuzzy hypotheses based on vague observations: a p-value approach. Statistical Papers 53: 469-484.

### Examples

 1 2 3 4 5 6 # Introducing the membership function of triangular fuzzy number (for test statistics) t = T(2,4,7) ## The function is currently defined as function (a, b, c) (TriangularFuzzyNumber(a, b, c)) 

Fuzzy.p.value documentation built on May 19, 2017, 8:52 a.m.
Search within the Fuzzy.p.value package
Search all R packages, documentation and source code

Questions? Problems? Suggestions? Tweet to @rdrrHQ or email at ian@mutexlabs.com.

Please suggest features or report bugs in the GitHub issue tracker.

All documentation is copyright its authors; we didn't write any of that.