A Soft Ideal Topological Space: New Closed Set

Authors

A. A. Azzam, Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi ArabiaDepartment of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia\\ Department of Mathematics, Faculty of Science, New Valley University, Elkharga 72511, EgyptFollow
Ibrahim Noaman, Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha, Kingdom of Saudi ArabiaFollow

Author Country (or Countries)

Egypt

Abstract

To use the topological structure to solve specific problems in many fields, it has become important to generalize it. So, in this work, we begin with an introduction to some of the ideas of ideal topology and soft topology that will be combined to show and explain the generalization of soft ideal generalized closed sets (I ̃GCs). A soft topological structure’s consideration of soft ideals, we explore the generalization of sets and look into the novel idea of α-generalized closed sets (αGCs). Various properties and ideas of αGCs are also presented in a soft ideal topological framework. Last but not least, we provide various applications that can be used in conjunction with the novel sets.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/amis/170614

Recommended Citation

A. Azzam, A. and Noaman, Ibrahim (2023) "A Soft Ideal Topological Space: New Closed Set," Applied Mathematics & Information Sciences: Vol. 17: Iss. 6, Article 20.
DOI: https://dx.doi.org/10.18576/amis/170614
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss6/20