Statistical distributions and reliability functions with type-2 fuzzy parameters
Başkır, M. Bahar
MetadataShow full item record
Type-2 fuzzy sets were initially given by Zadeh as an extension of type-1 fuzzy sets. There is a gnawing interest in type-2 fuzzy set and its memberships (named secondary memberships) to handle the uncertainty in type-1 fuzzy set and its primary membership values. However; arithmetical operators on type-2 fuzzy sets have computational complexity due to third dimension of these sets. In this study, we present some mathematical operators which can be easily applied to type-2 fuzzy sets and numbers. Also, mathematical functions of type-2 fuzzy numbers are given according to their monotonicity These functions are adapted to reliability and distribution functions of the random variables with the type-2 fuzzy parameters. These functions are applied to Exponential, Chi-square, Weibull distributions with respect to monotonicity of the parameters of these distributions.
Showing items related by title, author, creator and subject.
Akın, Ömer; Khaniyev, Tahir; Oruc, O.; Türkşen, İ. B. (Pergamon-Elsevier Science Ltd, 2013-01)In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. We ...
Ünal, Başak (TOBB Ekonomi ve Teknoloji Üniversitesi Fen Bilimleri Enstitüsü, 2009)Bu çalışmada, yeni bulanık sistem modelleme yaklaşımları önerilmiştir. Önerilen yöntemlerin ve bu çalışmaya referans teşkil eden Türkşen'in  ve Çelikyılmaz ve Türkşen'in [2007, 2008, 2009] önerdiği geliştirilmiş ...
Some possible fuzzy solutions for second order fuzzy initial value problems involving forcing terms Akın, Ömer; Khaniyev, Tahir; Oruc, O.; Turksen, I. B. (Azerbaijan National Academy of Sciences, 2014)In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here, we investigate problems with fuzzy coefficients, fuzzy initial values, and fuzzy forcing functions where fuzzy ...