scholarly journals Some Features of Intuitionistic L- R1 Spaces

2018 ◽  
Vol 10 (1) ◽  
pp. 1-9
Author(s):  
R. Islam ◽  
M. S. Hossain
Keyword(s):  
Continuous Mapping ◽  
Topological Spaces ◽  
Hereditary Property

In this paper, we have introduced four notions of R1 space in intuitionistic L-topological spaces and established some implications among them. We have also proved that all of these definitions satisfy “good extension” and “hereditary” property. Finally, it has been shown that all concepts are preserved under one-one, onto and continuous mapping.

scholarly journals SOFT ALMOST β-CONTINUITY IN SOFT TOPOLOGICAL SPACES

2020 ◽  
Vol 8 (2) ◽  
pp. 06-14
Author(s):  
Alpa Singh Rajput ◽  
S. S. Thakur ◽  
Om Prakash Dubey
Keyword(s):  
Image Segmentation ◽  
Information Systems ◽  
Mathematical Models ◽  
General Framework ◽  
Continuous Mapping ◽  
Topological Spaces ◽  
Major Area ◽  
Soft Topology ◽  
Continuous Mappings

Purpose: In the present paper the concept of soft almost β-continuous mappings and soft almost β-open mappings in soft topological spaces have been introduced and studied. Methodology: This notion is weaker than both soft almost pre-continuous mappings, soft almost semi-continuous mapping. The diagrams of implication among these soft classes of soft mappings have been established. Main Findings: We extend the concept of almost β-continuous mappings and almost β-open mappings in soft topology. Implications: Mapping is an important and major area of topology and it can give many relationships between other scientific areas and mathematical models. This notion captures the idea of hanging-togetherness of image elements in an object by assigning strength of connectedness to every possible path between every possible pair of image elements. It is an important tool for the designing of algorithms for image segmentation. The novelty of Study: Hope that the concepts and results established in this paper will help the researcher to enhance and promote the further study on soft topology to carry out a general framework for the development of information systems.

scholarly journals On Strongly b − θ -Continuous Mappings in Fuzzifying Topology

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Ting Yang ◽  
Ahmed Mostafa Khalil
Keyword(s):  
Fuzzy Logic ◽  
Continuous Mapping ◽  
Topological Spaces ◽  
Closed Set ◽  
Open Set ◽  
Neighborhood System ◽  
Continuous Mappings ◽  
Derived Set ◽  
New Type

In this article, we will define the new notions (e.g., b − θ -neighborhood system of point, b − θ -closure (interior) of a set, and b − θ -closed (open) set) based on fuzzy logic (i.e., fuzzifying topology). Then, we will explain the interesting properties of the above five notions in detail. Several basic results (for instance, Definition 7, Theorem 3 (iii), (v), and (vi), Theorem 5, Theorem 9, and Theorem 4.6) in classical topology are generalized in fuzzy logic. In addition to, we will show that every fuzzifying b − θ -closed set is fuzzifying γ -closed set (by Theorem 3 (vi)). Further, we will study the notion of fuzzifying b − θ -derived set and fuzzifying b − θ -boundary set and discuss several of their fundamental basic relations and properties. Also, we will present a new type of fuzzifying strongly b − θ -continuous mapping between two fuzzifying topological spaces. Finally, several characterizations of fuzzifying strongly b − θ -continuous mapping, fuzzifying strongly b − θ -irresolute mapping, and fuzzifying weakly b − θ -irresolute mapping along with different conditions for their existence are obtained.

scholarly journals Compactness in intuitionistic fuzzy topological spaces

2005 ◽  
Vol 2005 (1) ◽  
pp. 19-32 ◽  
Author(s):  
A. A. Ramadan ◽  
S. E. Abbas ◽  
A. A. Abd El-Latif
Keyword(s):  
Topological Space ◽  
Continuous Mapping ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Continuous Mappings ◽  
Weakly Continuous ◽  
Fuzzy Topological Space ◽  
Definition Of ◽  
Fuzzy Topological Spaces ◽  
Almost Continuous

We introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Šostak, and study some of their properties. Also, we investigate the behavior of fuzzy compactness under several types of fuzzy continuous mappings.

scholarly journals A study on intuitionistic L-fuzzy T1 spaces

2020 ◽  
Vol 26 (3) ◽  
pp. 33-42
Author(s):  
R. Islam ◽  
◽  
M. S. Hossain ◽  
M. F. Hoque ◽  
◽  
...  
Keyword(s):  
Continuous Mapping ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Hereditary Properties ◽  
Fuzzy Topological Spaces

The paper yields some new conjectures of intuitionistic lattice fuzzy ''T''<sub>1</sub> spaces underlying to the concepts of intuitionistic fuzzy topological spaces. These conjectures convey some appreciable and intriguing properties as “Good extension” and “Hereditary” properties. Despite these, all suppositions sustain under one-one, onto, and continuous mapping.

scholarly journals Fuzzy Almost Generalized E-Continuous Mappings in Smooth Topological Spaces

2019 ◽  
Vol 8 (10S) ◽  
pp. 138-141 ◽  
Keyword(s):  
Topological Space ◽  
Compact Space ◽  
Continuous Mapping ◽  
Regular Space ◽  
Topological Spaces ◽  
Continuous Mappings ◽  
Fuzzy Topological Space ◽  
Index Terms ◽  
Almost Continuous

We introduce and study several interesting properties of fuzzy almost generalized e -continuous mappings in smooth topological spaces with counter examples. We also introduce fuzzy r - 1 2 fT e -space, r -fuzzy ge -space, r -fuzzy regular ge -space and r -fuzzy generalized e -compact space. It is seen that a fuzzy almost generalized e -continuous mapping, between a fuzzy r - 1 2 fT e -space and a fuzzy topological space, becomes fuzzy almost continuous mapping. Index Terms: fage -continuous, r - fge -space, r - fge -regular space, r - 1 2 fT e -space.

scholarly journals Semi closed and semi continuous mapping in intuitionistic topological spaces

2018 ◽  
Vol 1139 ◽  
pp. 012057
Author(s):  
S Girija ◽  
S Selvanayaki ◽  
Gnanambal Ilango
Keyword(s):  
Continuous Mapping ◽  
Topological Spaces
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