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
5047
Keywords: Fuzzy sets
Intuitionistic fuzzy sets
α-cuts
β-cuts
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.
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

Show full item record

CORE Recommender

Page view(s)

30
checked on Feb 6, 2023

Google ScholarTM

Check

Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.