Next Article in Journal
On an Exact Relation between ζ″(2) and the Meijer G -Functions
Next Article in Special Issue
Counterintuitive Test Problems for Distance-Based Similarity Measures Between Intuitionistic Fuzzy Sets
Previous Article in Journal
A Probabilistic Proof for Representations of the Riemann Zeta Function
Previous Article in Special Issue
On (α,β)-US Sets in BCK/BCI-Algebras
Open AccessArticle

p-Regularity and p-Regular Modification in ⊤-Convergence Spaces

by Qiu Jin 1,*, Lingqiang Li 1,2,3,* and Guangming Lang 2,3
1
Department of Mathematics, Liaocheng University, Liaocheng 252059, China
2
School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, China
3
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, China
*
Authors to whom correspondence should be addressed.
Mathematics 2019, 7(4), 370; https://doi.org/10.3390/math7040370
Received: 9 March 2019 / Revised: 19 April 2019 / Accepted: 22 April 2019 / Published: 24 April 2019
(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Logic and Their Applications)
Fuzzy convergence spaces are extensions of convergence spaces. ⊤-convergence spaces are important fuzzy convergence spaces. In this paper, p-regularity (a relative regularity) in ⊤-convergence spaces is discussed by two equivalent approaches. In addition, lower and upper p-regular modifications in ⊤-convergence spaces are further investigated and studied. Particularly, it is shown that lower (resp., upper) p-regular modification and final (resp., initial) structures have good compatibility. View Full-Text
Keywords: fuzzy topology; fuzzy convergence; ⊤-convergence space; regularity fuzzy topology; fuzzy convergence; ⊤-convergence space; regularity
MDPI and ACS Style

Jin, Q.; Li, L.; Lang, G. p-Regularity and p-Regular Modification in ⊤-Convergence Spaces. Mathematics 2019, 7, 370.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop