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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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