Strict Fuzzy Triangular and Trigonometric Exponential Truncated Distributions

Youssef Prince Abed, Abdul Hadi Nabih Ahmed, Elshimaa Ramadan


In this paper, based on the definition of strict fuzzy probability introduced by Abed, et. al.  (2016) we will show how we can construct strict fuzzy membership function from classical fuzzy membership function introduced by Zadeh (1965). This technique will be applied to triangular and trigonometric fuzzy memberships. Once we reach that result we will introduce strict fuzzy exponential triangular and trigonometric distributions and some of their properties.

Full Text:



Abed, Y., Hadi, A. and Khalifa. H. (2016). Strict fuzzy sets and strict fuzzy probability. International Journal of Applied Mathematics and Statistics, Ceser Publications, (29): 37-49.

Agahi, H. and Ghezelayagh, M. (2009). Fuzzy truncated normal distribution with applications. International journal of Applied Mathematics and Computation, (3): 170-181.

Chachi, J., Taheri, S. and Viertl, R. (2012). Testing statistical hypotheses based on fuzzy confidence intervals. Austrian Journal of Statistics, (41): 267-286.

Grimmett. G. and Stirzaker. D. (2001). Probability and Random Processes, 3rd edition, Oxford University Press.

Yung, Y., Chhong, J. and Ryu, S. (2006). On the exponential fuzzy probability. Commun, Korean Math, Soc, (21): 385-395.

Yurisuhov and Kelbert, M. (2014). “Basic Probability and Statistics, 2nd edition”. Cambridge university press.

Zadeh, L. (1965). Fuzzy sets. Journal of Information and Control, Elsvier, (8): 338-353.

Zadeh, L. (1968). Probability measure of fuzzy event. Journal of Mathematical Analysis and Application, Academic Press, (23): 421-427.



  • There are currently no refbacks.

Copyright (c) 2017 Asian Journal of Fuzzy and Applied Mathematics

Creative Commons License
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.