S1 {FuzzyStatTraEOO} | R Documentation |
69 trapezoidal fuzzy numbers.
Description
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.
Usage
S1
Format
A matrix with 69 rows and 4 columns:
- inf0
infimum of support of the trapezoidal fuzzy numbers, real number
- inf1
infimum of core of the trapezoidal fuzzy numbers, real number
- sup1
supremum of core of the trapezoidal fuzzy numbers, real number
- sup0
supremum of support of the trapezoidal fuzzy numbers, real number
Source
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