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Create a user-defined possibility

create_possi_user.Rd

Function to create a user-defined possibility by following two options from: (1) a set of confidence intervals; (2) a mean and standard deviation value using the inquality of Bienayme-Chebychev.

Usage

create_possi_user(listX, listL, type = "confidence", DISCR = 1000)

Arguments

listX

  • If type="confidence", listX corresponds to the list of endpoints of the considered intervals. For instance, c(0, 1, 2, 3) corresponds to intervals [0,1], [1,2] and [2,3].

  • If type="bracket", listX corresponds to mean value.

ListL

  • If type="confidence", listL corresponds to the list of possibility degrees. For instance, c(0.2, 1, 0.05) corresponds to 3 intervals, the degrees 0.2, 1.0 and 0.05.

  • If type="bracket", listL corresponds to a vector of two values: the standard deviation and the limit of truncation (expressed in number of standard deviation). For instance, c(0.1,3) corresponds to a standard deviation of 0.1 and a limit of 3 times the standard deviation.

Details

Examples

#################################################
### user-defined
### mode: "confidence"
### user information: series of intervals with associated degree of possibilites
#################################################
listX = c(0.3, 0.52, 0.98, 1.5, 2, 2.5)## liste des bornes des intervalles de confiance
listL = c(0.33, 1, 0.2, 0.05, 0.05) ## liste des niveaux de possibilité (nbre = nbre_listX-1)
a = create_possi_user(listX, listL, type = "confidence")
plot(a)


#################################################
### mode: "bracket"
### inegalite de Bienayme-Chebychev; voir: sect. 3.3 de https://www.irit.fr/~Henri.Prade/Papers/DFoulMauP.pdf
### user information: mean, standard deviation and limit of truncation
#################################################
listX = c(0.5) ## mean
listL = c(0.1, 3) ## standard dev. + limit of truncation (in number of standard dev.)
b = create_possi_user(listX, listL, type = "bracket")
plot(b)