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June 18, 2020
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December 31, 2019
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Abstract

Purpose of the study: In the present paper the concept of soft α -connectedness between soft sets in soft topological spaces has been introduced and studied. The notion of connectedness captures the idea of hanging-togetherness of image elements in an object by given a firmness of connectedness to every feasible path between every possible pair of image elements. It is an important tool for the designing of algorithms for image segmentation. The purpose of this paper is to extend the concept of α –connectedness between sets in soft topology.


Main Findings: If a soft topological space (X, τ, E) is soft α -connected between a pair of its soft sets, then it is not necessarily that it is soft α -connected between each pair of its soft sets and so it is not necessarily soft α -connected.


Applications of this study: Image Processing.


Novelty/Originality of this study: Extend of α -connectedness between soft sets in soft topology.

Keywords

Soft α-open Sets Soft α- Closed sets Soft α-connectedness Soft α-connectedness Between Soft Sets

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Singh Rajput, A., & S. Thakur, S. (2019). α -CONNECTEDNESS BETWEEN SOFT SETS. International Journal of Students’ Research in Technology & Management, 7(4), 09–14. https://doi.org/10.18510/ijsrtm.2019.742
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