Mathematics and Statistics Vol. 9(1), pp. 46 - 53
DOI: 10.13189/ms.2021.090108
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Fuzzy Time Series Forecasting Model Based on Intuitionistic Fuzzy Sets via Delegation of Hesitancy Degree to the Major Grade De-i-fuzzification Method

Nik Muhammad Farhan Hakim Nik Badrul Alam , Nazirah Ramli ^*, Norhuda Mohammed
Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Pahang, 26400 Bandar Jengka, Pahang, Malaysia

ABSTRACT

Fuzzy time series is a powerful tool to forecast the time series data under uncertainty. Fuzzy time series was first initiated with fuzzy sets and then generalized by intuitionistic fuzzy sets. The intuitionistic fuzzy sets consider the degree of hesitation in which the degree of non-membership is incorporated. In this paper, a fuzzy set time series forecasting model based on intuitionistic fuzzy sets via delegation of hesitancy degree to the major grade de-i-fuzzification approach was developed. The proposed model was implemented on the data of student enrollments at the University of Alabama. The forecasted output was obtained using the fuzzy logical relationships of the output, and the performance of the forecasted output was compared with the fuzzy time series forecasting model based on fuzzy sets using the mean square error, root mean square error, mean absolute error, and mean absolute percentage error. The results showed that the forecasting model based on induced fuzzy sets from intuitionistic fuzzy sets performs better compared to the fuzzy time series forecasting model based on fuzzy sets.

KEYWORDS
De-i-fuzzification, Forecasting Enrollment, Fuzzy Time Series, Hesitancy Degree, Induced Fuzzy Set, Intuitionistic Fuzzy Set

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Nik Muhammad Farhan Hakim Nik Badrul Alam , Nazirah Ramli , Norhuda Mohammed , "Fuzzy Time Series Forecasting Model Based on Intuitionistic Fuzzy Sets via Delegation of Hesitancy Degree to the Major Grade De-i-fuzzification Method," Mathematics and Statistics, Vol. 9, No. 1, pp. 46 - 53, 2021. DOI: 10.13189/ms.2021.090108.

(b). APA Format:
Nik Muhammad Farhan Hakim Nik Badrul Alam , Nazirah Ramli , Norhuda Mohammed (2021). Fuzzy Time Series Forecasting Model Based on Intuitionistic Fuzzy Sets via Delegation of Hesitancy Degree to the Major Grade De-i-fuzzification Method. Mathematics and Statistics, 9(1), 46 - 53. DOI: 10.13189/ms.2021.090108.