Applied Mathematics & Information Sciences

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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.

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