Fuzzy soft filter convergence

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3325-3336 ◽  
Author(s):  
Ismail Ibedou ◽  
S.E. Abbas
Keyword(s):  
Topological Spaces ◽  
Filter Convergence

In this paper, we introduce the concept of fuzzy soft filters and study some of their properties. Also, we study the notion of convergence of fuzzy soft filters in fuzzy soft topological spaces. We prove the existence of product fuzzy soft filters.

Sequences, Nets, and Filters of Fuzzy Soft Multi Sets in Fuzzy Soft Multi Topological Spaces

2016 ◽  
pp. 172-190
Author(s):  
Anjan Mukherjee ◽  
Ajoy Kanti Das
Keyword(s):  
Machine Learning ◽  
Data Mining ◽  
Cluster Analysis ◽  
Topological Spaces ◽  
Main Task ◽  
Filter Convergence ◽  
Common Technique ◽  
Exploratory Data ◽  
Exploratory Data Mining ◽  
Convergence Sequence

In this chapter, the authors introduce a new sequence of fuzzy soft multi sets in fuzzy soft multi topological spaces and their basic properties are studied. The concepts of subsequence, convergence sequence and cluster fuzzy soft multi sets of fuzzy soft multi sets are proposed. Actually Cluster analysis or clustering is the task of grouping a set of objects in such a way that objects in the same group (called a cluster) are more similar to each other than to those in other groups (clusters). It is a main task of exploratory data mining and a common technique for statistical data analysis used in many fields including machine learning, pattern recognition, image analysis, information retrieval and bioinformatics. Here the authors define the notions of net and filter and establish the correspondence between net convergence and filter convergence in fuzzy soft multi topological spaces.

Neighborhoods and convergence with respect to a closure operator

2011 ◽  
Vol 61 (5) ◽  
Author(s):  
Josef Šlapal
Keyword(s):  
Closure Operator ◽  
Topological Spaces ◽  
Filter Convergence ◽  
Categorical Closure Operator ◽  
Natural Way

AbstractWe study neighborhoods with respect to a categorical closure operator. In particular, we discuss separation and compactness obtained from neighborhoods in a natural way and compare them with the usual closure separation and closure compactness. We also introduce a concept of convergence based on using centered systems of subobjects, which naturally generalizes the classical filter convergence in topological spaces. We investigate behavior of the convergence introduced and show, among others, that it relates to the separation and compactness in natural ways.

ON ir-CLOSED SETS IN TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (5) ◽  
pp. 2573-2582
Author(s):  
A. M. Anto ◽  
G. S. Rekha ◽  
M. Mallayya
Keyword(s):  
Topological Spaces ◽  
Closed Sets

ON A NEW CLASS OF SEMI GENERALIZED CLOSED SETS IN STRONG GENERALIZED TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (11) ◽  
pp. 9353-9360
Author(s):  
G. Selvi ◽  
I. Rajasekaran
Keyword(s):  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Closed Sets ◽  
New Class ◽  
Open Set ◽  
Continuous Maps

This paper deals with the concepts of semi generalized closed sets in strong generalized topological spaces such as $sg^{\star \star}_\mu$-closed set, $sg^{\star \star}_\mu$-open set, $g^{\star \star}_\mu$-closed set, $g^{\star \star}_\mu$-open set and studied some of its basic properties included with $sg^{\star \star}_\mu$-continuous maps, $sg^{\star \star}_\mu$-irresolute maps and $T_\frac{1}{2}$-space in strong generalized topological spaces.

ON CONTRA SOFT ARS CLOSED SETS IN SOFT TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (3) ◽  
pp. 921-926
Author(s):  
P. Anbarasi Rodrigo ◽  
K. Rajendra Suba
Keyword(s):  
Topological Spaces ◽  
Closed Sets

ON BIPOLAR FUZZY ROUGH TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (11) ◽  
pp. 9733-9738
Author(s):  
S. Anita Shanthi ◽  
M. Saranya
Keyword(s):  
Topological Spaces
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