Some Results on the Fundamental Concepts of Fuzzy Set Theory in Intuitionistic Fuzzy Environment by Using ? and ß cuts

Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/3564

Title:	Some Results on the Fundamental Concepts of Fuzzy Set Theory in Intuitionistic Fuzzy Environment by Using ? and ß cuts
Authors:	Akın, Ömer Bayeğ, Selami
Keywords:	Fuzzy sets Intuitionistic fuzzy sets α-cuts β-cuts characterization theorem stacking theorem generalized Hukuhara difference Strongly generalized Hukuhara derivative
Publisher:	University of Nis
Source:	Akın, Ö., and Bayeğ, S. A. (2019). Some results on the fundamental concepts of fuzzy set theory in intuitionistic fuzzy environment by using α and β cuts. Filomat, 33(10), 3123-3148.
Abstract:	In this paper we have frstly examined the properties of α and β cuts of intuitionistic fuzzy numbers in Rn with the help of well-known Stacking and Characterization theorems in fuzzy set theory. Then, we have studied the generalized Hukuhara diﬀerence in intuitionistic fuzzy environment by using the properties of α and β cuts and support function. Finally, we have extended the strongly generalized diﬀerentiability concept from fuzzy set theory to intuitionistic fuzzy environment and proved the related theorems with this concept.
URI:	https://hdl.handle.net/20.500.11851/3564 http://www.doiserbia.nb.rs/Article.aspx?ID=0354-51801910123A#.Xv2SPygzbIU
ISSN:	03545180
Appears in Collections:	Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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