Z-fuzzy hypothesis testing in statistical decision making
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ios Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Hypothesis tests are a statistical decision-making tool for testing if a hypothesized parameter value is supported by the sample data or not. Vagueness and impreciseness in the sample data require fuzzy techniques to be employed in the analysis. These techniques can be based on intuitionistic fuzzy sets, hesitant fuzzy sets, type-2 fuzzy sets, neutrosophic sets, or spherical fuzzy sets. In this paper, Z-fuzzy numbers are used to capture the vagueness in the sample data and develop Z-fuzzy hypothesis testing. A Z-fuzzy number is represented by a restriction function that is usually a triangular or trapezoidal fuzzy number and a reliability function representing the confidence level to the restriction function. Illustrative examples for left and right sided hypothesis testing and sensitivity analyses are presented.
Açıklama
kahraman, cengiz/0000-0001-6168-8185; Haktanir, Elif/0000-0002-3341-4360
Anahtar Kelimeler
Z-Fuzzy Number, Hypothesis Testing, Statistical Decision Making, Restriction Function, Reliability Function
Kaynak
Journal of Intelligent & Fuzzy Systems
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
37
Sayı
5
