Applications of Correlation Coefficients of Hesitant Fuzzy Linguistic Term Sets to Assess Educational Quality of Curriculum Base on Educational Quality Assurance in Higher Education
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Published
Mar 17, 2017
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Abstract
The research aimed to 1) study the new method in scoring for the process indicators of the internal educational quality assurance in high education using correlation coefficients of hesitant fuzzy linguistic term sets, 2) compare the assessment score on educational quality of curriculums in the Faculty of Science, Ubon Ratchathani Rajabhat University according to the process indicators of the internal education quality assurance in higher education between correlation coefficients of hesitant fuzzy linguistic term sets application and traditional method in scoring. Twenty four participant experts appointed by the Higher Education Commission, were selected by purposive sampling. Research instrument were self-assessment reports of eight curriculums in the Faculty of Science of Ubon Rachathani Rajabhat University and evaluation forms. Statistics used in data analysis were the correlation coefficients of hesitant fuzzy linguistic term sets and mode. The method consisted of the followings: 1) creating a hesitant fuzzy linguistic term sets to explain the criteria of the scores of each indicator; 2) creating a hesitant fuzzy linguistic term sets to explain the experts’ opinions that used to evaluate the educational quality of each indicator; 3) finding the correlation coefficients value between the sets in 1 and 2; 4) interpreting the correlation coefficients and a maximum value of correlation coefficients would be a determinant of the score for each indicator. The study found that the score of each indicators of each curriculum were equivalent to 0 and 1, which was lower than the mode of the educational quality evaluation.
References
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Xu, Z. S. (2004). A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf. Sci., 166, 19-30.
Xu, Z. S. (2005). Deviation measures of linguistic preference relations in group decision making. Omega-Int. J. Manage., 33, 249-254.
Yu, C. H. (1993). Correlation of fuzzy numbers. Fuzzy Sets Syst, 55, 303-307.
Zhu, B., & Xu, Z. S. (2014). Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Tran. Fuzzy Syst., 22, 35-45.
Zadeh, L. A. (1975). The concept of a linguistic variable and its to approximate reasoning-Part I. Inf. Sci., 8, 121-136.
Chen, N., Xu, Z. S., & Xia, M. M. (2013). Correlation coefficients of hesitant fuzzy sets and their application to clustering analysis. Appl. Math. Model, 37, 2197-2211.
Chen, S. M., & Hong, J. A. (2014). Multicriteria linguistic decision making based on hesitant fuzzy linguistic term sets and the aggregation of fuzzy sets. Inf. Sci., 286, 63-74.
Chiang, D. A., & Lin, N. P. (1999). Correlation of fuzzy set. Fuzzy Sets Syst., 102, 221-226.
Gerstenkorn, T., & Manko, J. (1991). Correlation of intuitionistic fuzzy set. Fuzzy Sets Syst., 44, 39-43.
Hong, D. H., & Hwang, S. Y. (1995). Correlation of intuitionistic fuzzy sets in probability spaces. Fuzz Sets Syst., 75, 77-81.
Hung, W. L. (2001). Using statistical viewpoint in developing correlation of intuitionistic fuzzy sets. Int. J. Uncertain. Fuzz, 9, 509-516.
Hung, W. L., & Wu, J. W. (2002). Correlation of intuitionistic fuzzy sets by centroid method. Inf. Sci., 144, 219-255.
Lio, H., Xu, Z., Zeng, X. J., & Merio, J. M. (2015). Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term set. Knowledge-Based Systems, 76, 127-138.
Lio, H., Xu, Z., & Zeng, X. J. (2014). Distant and similarity measure for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Inf. Sci., 271, 125-142.
Liu, H. B., Cai, J. F., & Jiang, L. (2014). On improving the additive consistency of the fuzzy preference relation based on comparative linguistic expressions. Int. J. Intell. Syst., 29, 544-559.
Liu, H. B., & Rodriguez, R. M. (2014). A fuzzy envelope of hesitant fuzzy linguistic term set and its application to multicriteria decision making. Inf. Sci., 258, 220-238
Mitchell, H. B. (2004). A correlation coefficient for intuitionistic fuzzy sets. Int. J. Intett. Syst., 19, 483-490.
Murithy, C. A., Pal, S. K., & Dutra-Majumder, D. (1985). Correlation between two fuzzy membership Functions. Fuzzy Set Syst., 17, 23-38.
Office of the higher Education Commission. (2014). The guidebook of an internal education quality in higher education level Nontaburi. Ubon Ratchathani: Parbpim.
Rodriguez, R. M., & Martinez I. (2013). An analysis of Symbolic linguistic computing model in decision making. Int. J. Gen. Syst., 42, 121-136.
Rodriguez, R. M, Martinez I., & Herrera, F. (2013). A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term set. Inf. Sci., 28, 28-42.
Rodriguez, R. M, Martinez I., & Herrera, F. (2012). Hesitant fuzzy linguistic term sets for decision making, IEEE Tran. Fuzzy Syst., 20, 109–119.
Szmidt, E., & Kacprzyk, J. (2010). Correlation of intuitionistic fuzzy set. LNAI, 6178, 169-177.
Tyagi, S. K. (2015). Correlation coefficient of dual hesitant fuzzy set and its applications. Applied Mathematical Modelling, 39, 7082-7092.
Wei, C. P., Zhao, N., & Tang, X. J. (2014). Operation and comparison of hesitant fuzzy linguistic term sets. IEEE Trans. Fuzzy Syst., 22(3), 575-585.
Xu, Z. S. (2004). A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf. Sci., 166, 19-30.
Xu, Z. S. (2005). Deviation measures of linguistic preference relations in group decision making. Omega-Int. J. Manage., 33, 249-254.
Yu, C. H. (1993). Correlation of fuzzy numbers. Fuzzy Sets Syst, 55, 303-307.
Zhu, B., & Xu, Z. S. (2014). Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Tran. Fuzzy Syst., 22, 35-45.
Zadeh, L. A. (1975). The concept of a linguistic variable and its to approximate reasoning-Part I. Inf. Sci., 8, 121-136.
Keywords
Hesitant Fuzzy Linguistic Term Sets, Correlation Coefficients, Educational Quality Assurance
Section
Research Articles
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How to Cite
VONGLAO, Paothai.
Applications of Correlation Coefficients of Hesitant Fuzzy Linguistic Term Sets to Assess Educational Quality of Curriculum Base on Educational Quality Assurance in Higher Education.
Journal of Community Development Research (Humanities and Social Sciences), [S.l.], v. 10, n. 1, p. 50-62, mar. 2017.
ISSN 2985-0231.
Available at: <https://www.journal.nu.ac.th/JCDR/article/view/1720>. Date accessed: 20 apr. 2024.