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http://dx.doi.org/10.7858/eamj.2013.018

NORMAL FUZZY PROBABILITY FOR TRAPEZOIDAL FUZZY SETS  

Kim, Changil (Department of Mathematics Education, Dankook University)
Yun, Yong Sik (Department of Mathematics and Research Institute for Basic Sciences, Jeju National University)
Publication Information
East Asian mathematical journal / v.29, no.3, 2013 , pp. 269-278 More about this Journal
Abstract
A fuzzy set A defined on a probability space (${\Omega}$, $\mathfrak{F}$, P) is called a fuzzy event. Zadeh defines the probability of the fuzzy event A using the probability P. We define the normal fuzzy probability on $\mathbb{R}$ using the normal distribution. We calculate the normal fuzzy probability for generalized trapezoidal fuzzy sets and give some examples.
Keywords
normal fuzzy probability; trapezoidal fuzzy set;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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