R/data.R

In FuzzyStatTraEOO: Package 'FuzzyStatTra' in Encapsulated Object Oriented Programming

#' 69 trapezoidal fuzzy numbers.
#'
#' A dataset containing 69 trapezoidal fuzzy numbers.
#' The data correspond to the well-knows questionaire TIMSS-PIRLS2011.
#' This questionnaire was adapted to allow a double-type response, namely, the
#' original Likert and a fuzzy rating scale-based (to simplify, trapezoidal).
#' The questionnaire was conducted on 69 fourth grade students from Colegio San
#' Ignacio (Oviedo-Asturias, Spain).
#' Trapezoidal fuzzy rating responses to the Question M1 "I like mathematics" are
#' collected in this dataset.
#'
#' @format A matrix with 69 rows and 4 columns:
#' \describe{
#'   \item{inf0}{infimum of support of the trapezoidal fuzzy numbers, real number}
#'   \item{inf1}{infimum of core of the trapezoidal fuzzy numbers, real number}
#'   \item{sup1}{supremum of core of the trapezoidal fuzzy numbers, real number}
#'   \item{sup0}{supremum of support of the trapezoidal fuzzy numbers, real number}
#' }
#' @source \url{http://bellman.ciencias.uniovi.es/SMIRE/FuzzyRatingScaleQuestionnaire-SanIgnacio.html}
#' @references
#' [1] Gil, M.A.; Lubiano, M.A.; De la Rosa de Saa, S.; Sinova, B.: Analyzing data from a
#' fuzzy rating scale-based questionnaire. A case study, Psicothema 27(2), 182-191 (2015)
#'
#' [2] Lubiano, M.A.; De la Rosa de Saa, S.; Montenegro, M.; Sinova, B.; Gil, M.A.: Descriptive
#' analysis of responses to items in questionnaires. Why not a fuzzy rating scale?, Information
#' Sciences 360, 131-148 (2016)
#'
#' [3] Lubiano, M.A.; Salas, A.; Carleos, C.; De la Rosa de Sáa, S.; Gil, M.Á.: Hypothesis
#' testing-based comparative analysis between rating scales for intrinsically imprecise data,
#' International Journal of Approximate Reasoning 88, 128-147 (2017)
#' @examples M1
"M1"

#' 69 trapezoidal fuzzy numbers.
#'
#' A dataset containing 69 trapezoidal fuzzy numbers.
#' The data correspond to the well-knows questionaire TIMSS-PIRLS2011.
#' This questionnaire was adapted to allow a double-type response, namely, the
#' original Likert and a fuzzy rating scale-based (to simplify, trapezoidal).
#' The questionnaire was conducted on 69 fourth grade students from Colegio San
#' Ignacio (Oviedo-Asturias, Spain).
#' Trapezoidal fuzzy rating responses to the Question M2 "My teacher is easy to understand"
#' are collected in this dataset.
#'
#' @format A matrix with 69 rows and 4 columns:
#' \describe{
#'   \item{inf0}{infimum of support of the trapezoidal fuzzy numbers, real number}
#'   \item{inf1}{infimum of core of the trapezoidal fuzzy numbers, real number}
#'   \item{sup1}{supremum of core of the trapezoidal fuzzy numbers, real number}
#'   \item{sup0}{supremum of support of the trapezoidal fuzzy numbers, real number}
#' }
#' @source \url{http://bellman.ciencias.uniovi.es/SMIRE/FuzzyRatingScaleQuestionnaire-SanIgnacio.html}
#' @references
#' [1] Gil, M.A.; Lubiano, M.A.; De la Rosa de Saa, S.; Sinova, B.: Analyzing data from a
#' fuzzy rating scale-based questionnaire. A case study, Psicothema 27(2), 182-191 (2015)
#'
#' [2] Lubiano, M.A.; De la Rosa de Saa, S.; Montenegro, M.; Sinova, B.; Gil, M.A.:
#' Descriptive analysis of responses to items in questionnaires. Why not a fuzzy rating
#' scale?, Information Sciences 360, 131-148 (2016)
#'
#' [3] Lubiano, M.A.; Montenegro, M.; Sinova, B.; De la Rosa de Saa, S.; Gil, M.A.: Hypothesis
#' testing for means in connection with fuzzy rating scale-based data: algorithms and
#' applications, European Journal of Operational Research 251, 918-929 (2016)
#'
#' [3] Lubiano, M.A.; Salas, A.; Carleos, C.; De la Rosa de Sáa, S.; Gil, M.Á.: Hypothesis
#' testing-based comparative analysis between rating scales for intrinsically imprecise data,
#' International Journal of Approximate Reasoning 88, 128-147 (2017)
#'
#' [4] Lubiano, M.A.; Salas, A.; Gil, M.Á.: A hypothesis testing-based discussion on the
#' sensitivity of means of Fuzzy data with respect to data shape, Fuzzy Sets and Systems
#' 328(1), 54-69 (2017)
#' @examples M2
"M2"

#' 69 trapezoidal fuzzy numbers.
#'
#' A dataset containing 69 trapezoidal fuzzy numbers.
#' The data correspond to the well-knows questionaire TIMSS-PIRLS2011.
#' This questionnaire was adapted to allow a double-type response, namely, the
#' original Likert and a fuzzy rating scale-based (to simplify, trapezoidal).
#' The questionnaire was conducted on 69 fourth grade students from Colegio San
#' Ignacio (Oviedo-Asturias, Spain).
#' Trapezoidal fuzzy rating responses to the Question M3 "Mathematics is harder for me than
#' any other subject" are collected in this dataset.
#'
#' @format A matrix with 69 rows and 4 columns:
#' \describe{
#'   \item{inf0}{infimum of support of the trapezoidal fuzzy numbers, real number}
#'   \item{inf1}{infimum of core of the trapezoidal fuzzy numbers, real number}
#'   \item{sup1}{supremum of core of the trapezoidal fuzzy numbers, real number}
#'   \item{sup0}{supremum of support of the trapezoidal fuzzy numbers, real number}
#' }
#' @source \url{http://bellman.ciencias.uniovi.es/SMIRE/FuzzyRatingScaleQuestionnaire-SanIgnacio.html}
#' @references
#' [1] Gil, M.A.; Lubiano, M.A.; De la Rosa de Saa, S.; Sinova, B.: Analyzing data from a
#' fuzzy rating scale-based questionnaire. A case study, Psicothema 27(2), 182-191 (2015)
#'
#' [2] Lubiano, M.A.; De la Rosa de Saa, S.; Montenegro, M.; Sinova, B.; Gil, M.A.:
#' Descriptive analysis of responses to items in questionnaires. Why not a fuzzy rating
#' scale?, Information Sciences 360, 131-148 (2016)
#'
#' [3] Lubiano, M.A.; Montenegro, M.; Sinova, B.; De la Rosa de Saa, S.; Gil, M.A.: Hypothesis
#' testing for means in connection with fuzzy rating scale-based data: algorithms and
#' applications, European Journal of Operational Research 251, 918-929 (2016)
#'
#' [4] Lubiano, M.A.; Salas, A.; Carleos, C.; De la Rosa de Sáa, S.; Gil, M.Á.: Hypothesis
#' testing-based comparative analysis between rating scales for intrinsically imprecise data,
#' International Journal of Approximate Reasoning 88, 128-147 (2017)
#' @examples M3
"M3"

#' 69 trapezoidal fuzzy numbers.
#'
#' A dataset containing 69 trapezoidal fuzzy numbers.
#' The data correspond to the well-knows questionaire TIMSS-PIRLS2011.
#' This questionnaire was adapted to allow a double-type response, namely, the
#' original Likert and a fuzzy rating scale-based (to simplify, trapezoidal).
#' The questionnaire was conducted on 69 fourth grade students from Colegio San
#' Ignacio (Oviedo-Asturias, Spain).
#' Trapezoidal fuzzy rating responses to the Question S1 "My teacher taught me to discover
#' science in daily life" are collected in this dataset.
#'
#' @format A matrix with 69 rows and 4 columns:
#' \describe{
#'   \item{inf0}{infimum of support of the trapezoidal fuzzy numbers, real number}
#'   \item{inf1}{infimum of core of the trapezoidal fuzzy numbers, real number}
#'   \item{sup1}{supremum of core of the trapezoidal fuzzy numbers, real number}
#'   \item{sup0}{supremum of support of the trapezoidal fuzzy numbers, real number}
#' }
#' @source \url{http://bellman.ciencias.uniovi.es/SMIRE/FuzzyRatingScaleQuestionnaire-SanIgnacio.html}
#' @references
#' [1] Gil, M.A.; Lubiano, M.A.; De la Rosa de Saa, S.; Sinova, B.: Analyzing data from a
#' fuzzy rating scale-based questionnaire. A case study, Psicothema 27(2), 182-191 (2015)
#'
#' [2] Lubiano, M.A.; De la Rosa de Saa, S.; Montenegro, M.; Sinova, B.; Gil, M.A.: Descriptive analysis
#' of responses to items in questionnaires. Why not a fuzzy rating scale?, Information Sciences
#' 360, 131-148 (2016)
#'
#' [3] Lubiano, M.A.; Montenegro, M.; Sinova, B.; De la Rosa de Saa, S.; Gil, M.A.: Hypothesis
#' testing for means in connection with fuzzy rating scale-based data: algorithms and
#' applications, European Journal of Operational Research 251, 918-929 (2016)
#'
#' [4] Lubiano, M.A.; Salas, A.; Carleos, C.; De la Rosa de Sáa, S.; Gil, M.Á.: Hypothesis testing-based
#' comparative analysis between rating scales for intrinsically imprecise data, International Journal
#' of Approximate Reasoning 88, 128-147 (2017)
#'
#' [5] Lubiano, M.A.; Salas, A.; Gil, M.Á.: A hypothesis testing-based discussion on the sensitivity of
#' means of Fuzzy data with respect to data shape, Fuzzy Sets and Systems 328(1), 54-69 (2017)
#' @examples S1
"S1"