Mathematics and Statistics Vol. 9(1), pp. 36 - 40
DOI: 10.13189/ms.2021.090106
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Application of Fuzzy Linear Regression with Symmetric Parameter for Predicting Tumor Size of Colorectal Cancer

Muhammad Ammar Shafi ^1,*, Mohd Saifullah Rusiman ², Siti Nabilah Syuhada Abdullah ^3
1 Faculty of Technology Management and Business, Universiti Tun Hussein Onn Malaysia, Malaysia
² Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, Malaysia
³ Faculty of Science, Universiti Teknologi Malaysia, Malaysia

ABSTRACT

The colon and rectum is the final portion of the digestive tube in the human body. Colorectal cancer (CRC) occurs due to bacteria produced from undigested food in the body. However, factors and symptoms needed to predict tumor size of colorectal cancer are still ambiguous. The problem of using linear regression arises with the use of uncertain and imprecise data. Since the fuzzy set theory's concept can deal with data not to a precise point value (uncertainty data), this study applied the latest fuzzy linear regression to predict tumor size of CRC. Other than that, the parameter, error and explanation for the both models were included. Furthermore, secondary data of 180 colorectal cancer patients who received treatment in general hospital with twenty five independent variables with different combination of variable types were considered to find the best models to predict the tumor size of CRC. Two models; fuzzy linear regression (FLR) and fuzzy linear regression with symmetric parameter (FLRWSP) were compared to get the best model in predicting tumor size of colorectal cancer using two measurement statistical errors. FLRWSP was found to be the best model with least value of mean square error (MSE) and root mean square error (RMSE) followed by the methodology stated.

KEYWORDS
Colorectal Cancer, Fuzzy Linear Regression with Symmetric Parameter, Mean Square Error, Root Mean Square Error

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Muhammad Ammar Shafi , Mohd Saifullah Rusiman , Siti Nabilah Syuhada Abdullah , "Application of Fuzzy Linear Regression with Symmetric Parameter for Predicting Tumor Size of Colorectal Cancer," Mathematics and Statistics, Vol. 9, No. 1, pp. 36 - 40, 2021. DOI: 10.13189/ms.2021.090106.

(b). APA Format:
Muhammad Ammar Shafi , Mohd Saifullah Rusiman , Siti Nabilah Syuhada Abdullah (2021). Application of Fuzzy Linear Regression with Symmetric Parameter for Predicting Tumor Size of Colorectal Cancer. Mathematics and Statistics, 9(1), 36 - 40. DOI: 10.13189/ms.2021.090106.