scholarly journals A contribution to the study of soft proximity spaces

Filomat ◽  
2017 ◽  
Vol 31 (7) ◽  
pp. 2023-2034 ◽  
Author(s):  
İzzettin Demir ◽  
Bedre Özbakır ◽  
İsmet Yıldız
Keyword(s):  
Uniform Space ◽  
Proximity Space ◽  
Alternative Approach ◽  
Soft Neighborhood ◽  
Proximity Spaces

In this paper we study the soft proximity spaces. First, we investigate the relation between proximity spaces and soft proximity spaces. Also, we define the notion of a soft ?-neighborhood in the soft proximity spaces which offer an alternative approach to the study of soft proximity spaces. Later, we show how a soft proximity space is derived from a soft uniform space. Finally, we obtain the initial soft proximity space determined by a family of soft proximity spaces.

scholarly journals Some Properties of Fuzzy Soft Proximity Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
İzzettin Demir ◽  
Oya Bedre Özbakır
Keyword(s):  
Proximity Space ◽  
Soft Topology ◽  
Alternative Approach ◽  
Proximity Spaces

We study the fuzzy soft proximity spaces in Katsaras’s sense. First, we show how a fuzzy soft topology is derived from a fuzzy soft proximity. Also, we define the notion of fuzzy softδ-neighborhood in the fuzzy soft proximity space which offers an alternative approach to the study of fuzzy soft proximity spaces. Later, we obtain the initial fuzzy soft proximity determined by a family of fuzzy soft proximities. Finally, we investigate relationship between fuzzy soft proximities and proximities.

scholarly journals New Concepts of Dense set in i-Topological space and Proximity Space

2021 ◽  
Vol 12 (1S) ◽  
pp. 685-690
Author(s):  
Yiezi Kadham Mahdi AL Talkany, Et. al.
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Proximity Space ◽  
New Concepts ◽  
Proximity Spaces ◽  
Dense Set

A new kind of some topological spaces concepts has been defined in i-topological spaces with respect to proximity spaces in our paper.

scholarly journals Characterized Fuzzy R2.5 and Characterized Fuzzy T3.5 Spaces

2017 ◽  
Vol 13 (1) ◽  
pp. 7048-7073
Author(s):  
Ahmed Saeed Abd-Allah
Keyword(s):  
Topological Space ◽  
Tychonoff Space ◽  
Proximity Space ◽  
Completely Regular ◽  
Fuzzy Function ◽  
Continuous Mappings ◽  
Fuzzy Space ◽  
Fuzzy Topological Space ◽  
The Given ◽  
Proximity Spaces

This paper, deals with, introduce and study the notions of haracterized fuzzy R2.5 spaces and of characterized fuzzy T3.5 spaces by using the notion of fuzzy function family presented in [21] and the notion of φ1,2ψ1,2-fuzzy continuous mappings presented in [5] as a generalization of all the weaker and stronger forms of the fuzzy completely regular spaces introduced in [11,24,26,29]. We denote by characterized fuzzy T3.5 space or characterized fuzzy Tychonoff space to the characterized fuzzy space which is characterized fuzzy T1 and characterized fuzzy R2.5 space in this sense. The relations between the characterized fuzzy T3.5 spaces, the characterized fuzzy T4 spaces and the characterized fuzzy T3 spaces are introduced. When the given fuzzy topological space is normal, then the related characterized fuzzy space is finer than the associated characterized fuzzy proximity space which is presented in [1]. Moreover, the associated characterized fuzzy proximity spaces and the characterized fuzzy T4 spaces are identical with help of the complementarilysymmetric fuzzy topogenous structure, that is, identified with the fuzzy proximity δ. More generally, the fuzzy function family of all φ1,2ψ1,2-fuzzy continuous mappings are applied to show that the characterized fuzzy R2.5 spaces and the associated characterized fuzzy proximity spaces are identical.

On Large Inductive Dimension of Proximity Spaces

1983 ◽  
Vol 35 (6) ◽  
pp. 961-973
Author(s):  
A. Kandil
Keyword(s):  
List Type ◽  
Covering Dimension ◽  
Proximity Space ◽  
Inductive Dimension ◽  
Basic Concepts ◽  
Proximity Spaces

The notion of proximity spaces was introduced by Efremovic in [2, 3]. An analysis of proximity spaces was carried out by Smirnov in [5].The study of covering dimension of proximity spaces was originated by Smirnov in [6].In this paper we introduce the concept of δ-large inductive dimension of proximity spaces and study some of its properties.1. Definitions and basic concepts.Definition 1. [5]A proximity space or (δ-space) is a pair (X, δ) where X is a set and δ is a mapping from 2X × 2X into the set {0, 1} satisfying the following axioms:1. δ(A, B) = δ(B, A)∀ A, B ∊ 2X.2. δ(A, B ∪ C) = δ(A, B) δ(A, C) ∀ A, B, C ∊ 2X3. δ({x}, {y}) = 0 ⇔ x = y.4. δ(X, ∅) = 1.5. δ(A, B) = 1 ⇒ ∃ C, D ∊ 2X ∋ C ∪ D = X and δ(A, C) · δ(B, C) = 1.

V940: Pre-Pubic SPARC for Stress Urinary Incontinence: An Alternative Approach for Scarred Retzius Space

2004 ◽  
Vol 171 (4S) ◽  
pp. 249-249
Author(s):  
Paulo Palma ◽  
Cassio Riccetto ◽  
Marcelo Thiel ◽  
Miriam Dambros ◽  
Rogerio Fraga ◽  
...  
Keyword(s):  
Urinary Incontinence ◽  
Stress Urinary Incontinence ◽  
Alternative Approach

An alternative approach to treating delinquent youth

1986 ◽  
Vol 3 (3) ◽  
pp. 65-85
Author(s):  
Donald E. Weber ◽  
William H. Burke
Keyword(s):  
Delinquent Youth ◽  
Alternative Approach
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