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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
characterization theorem
stacking theorem
generalized Hukuhara difference
Strongly generalized Hukuhara derivative
Issue Date: 2019
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.
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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