Some Properties of Connectedness in Soft Ideal Topological Spaces

Abstract

In this paper, we are going to discuss the connectedness under the umbrella of soft ideal topological spaces which has been newly designed combining the highs of soft sets and the enhanced structure of ideal topological spaces. We consider multiple aspects of connectedness in this connection, and compare and contrast them with the properties/characterizations in the classical cases. The results of this paper generalize previous theories and present fresh findings in terms of the behavior of connectedness under the soft ideal topology. Thus, the concepts of soft ideal connected spaces are defined, their fundamentals are studied, and we state several theorems that reveal peculiarities of soft ideal connectedness. This work not only enriches the people’s awareness of connectedness in generalized topological structures ,but also opened up the further study for soft set theory and its more extended application in different departments of sciences.

Keywords

• Image Processing, Machine Learning, Pattern Recognition, Self-Organizing Maps, Unsupervised Learning.