Results 81 to 90 of about 1,329,878 (160)

Study on covering rough sets with topological methods

CAAI Transactions on Intelligence Technology, 2019
The authors study the covering rough sets by topological methods. They combine the covering rough sets and topological spaces by means of defining some new types of spaces called covering rough topological (CRT) spaces based on neighbourhoods or ...
Xue Wang, Liwen Ma
doaj   +1 more source

On the decidability of connectedness constraints in 2D and 3D Euclidean spaces [PDF]

, 2011
We investigate (quantifier-free) spatial constraint languages with equality, contact and connectedness predicates as well as Boolean operations on regions, interpreted over low-dimensional Euclidean spaces. We show that the complexity of reasoning varies
Yavor Nenov, Pratt−Hartmann, Ian, Ian Pratt−Hartmann, Roman Kontchakov, Pratt-Hartmann, Ian; id_orcid, Ian Pratt-hartmann, Michael Zakharyaschev, Pratt-Hartmann, I., Nenov, Y., Zakharyaschev, Michael, Nenov, Yavor, Kontchakov, Roman   +11 more
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Ng#-Irresolvable and Strongly Ng#-Irresolvable Spaces in Neutrosophic Topological Spaces

Neutrosophic Sets and Systems
The notion of breaking down a topological space into smaller, disjoint subsets is the basis for the topological concepts of ‘resolvable space’ and ‘irresolvable space’.
Martina Jency J., Babisha Julit R. L., Pious Missier S.   +2 more
doaj   +1 more source

L-fuzzifying topological vector spaces

International Journal of Mathematics and Mathematical Sciences, 2005
The main purpose of this paper is to introduce a concept of L-fuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties.
Cong-Hua Yan, Cong-Xin Wu
doaj   +1 more source

*—Inductive limits and partition of unity

International Journal of Mathematics and Mathematical Sciences, 1989
In this note we define and discuss some properties of partition of unity on *-inductive limits of topological vector spaces. We prove that if a partition of unity exists on a *-inductive limit space of a collection of topological vector spaces, then it ...
V. Murali
doaj   +1 more source

L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces

Advances in Fuzzy Systems, 2012
The concepts of stratified order-preserving operators and stratified continuity are introduced in L-fuzzy topological spaces. Their basic properties are discussed, and their characteristic properties are observed.
Xiu-Yun Wu, Li-Li Xie, Liang-Sheng Huang
doaj   +1 more source

On some paracompactness-type properties of fuzzy topological spaces

, 2019
The aim of this paper is to study some paracompactness-type properties for fuzzy topological spaces. We prove that these properties are good extensions of others defined by A.V. Arkhangel’skii (and studied by S.A.
Francisco Gallego Lupiáñez, Gallego Lupiáñez, Francisco   +1 more
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Unifying Concepts in Topology: Analyzing Sg∗-Open and Sg∗-Closed Sets in Generalized Primal Topological Spaces

Journal of Mathematics
This research introduces the concept of Sg∗-open and Sg∗-closed sets within the framework of primal topological spaces, extending the existing body of knowledge in topology. Initially, this paper reviews fundamental topological structures, including open
Muhammad Shahbaz, Tayyab Kamran, Mariam Imtiaz, Umar Ishtiaq, Ioan-Lucian Popa   +4 more
doaj   +1 more source

Fuzzy Soft Compact Topological Spaces

Journal of Mathematics, 2016
In this paper, we have studied compactness in fuzzy soft topological spaces which is a generalization of the corresponding concept by R. Lowen in the case of fuzzy topological spaces. Several basic desirable results have been established.
Seema Mishra, Rekha Srivastava
doaj   +1 more source

On Doitchinov's quietness for arbitrary quasi-uniform spaces [PDF]

, 2010
The notion of a quiet quasi-uniform space was introduced by Doitchinov in1988 when he developed an interesting completion theory for this class ofquasi-uniform spaces.
Kivuvu, Charly Makitu
core   +1 more source