TY - JOUR ID - 48336 TI - A Method for Constructing Non-Isosceles Triangular Fuzzy Numbers Using Frequency Histogram and Statistical Parameters JO - Journal of Soft Computing in Civil Engineering JA - SCCE LA - en SN - AU - Amini, Amin AU - Nikraz, Navid AD - Ph.D. Student, Faculty of Science and Engineering, Curtin University, Kent St, Bentley WA 6102, Australia AD - Senior lecturer, Faculty of Science and Engineering, Curtin University, Kent St, Bentley WA 6102, Australia Y1 - 2017 PY - 2017 VL - 1 IS - 1 SP - 65 EP - 85 KW - Triangular fuzzy number KW - Non-isosceles KW - Membership function construction KW - Direct rating KW - statistical DO - 10.22115/scce.2017.48336 N2 - The philosophy of fuzzy logic was formed by introducing the membership degree of a linguistic value or variable instead of divalent membership of 0 or 1. Membership degree is obtained by mapping the variable on the graphical shape of fuzzy numbers. Because of simplicity and convenience, triangular membership numbers (TFN) are widely used in different kinds of fuzzy analysis problems. This paper suggests a simple method using statistical data and frequency chart for constructing non-isosceles TFN when we are using direct rating for evaluating a variable in a predefined scale. In this method, the relevancy between assessment uncertainties and statistical parameters such as mean value and the standard deviation is established in a way that presents an exclusive form of triangle number for each set of data. The proposed method with regard to the graphical shape of the frequency chart distributes the standard deviation around the mean value and forms the TFN with the membership degree of 1 for mean value. In the last section of the paper modification of the proposed method is presented through a practical case study. UR - https://www.jsoftcivil.com/article_48336.html L1 - https://www.jsoftcivil.com/article_48336_23d451bdbc0de701221e4497911f1d64.pdf ER -