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Balamurugan, Manivannan; Alessa, Nazek; Loganathan, Karuppusamy; Amar Nath, Neela
Mathematics (Basel), 05/2023, Letnik: 11, Številka: 10Journal Article
The main purpose of the present paper is to introduced the notions of (∈´,∈´∨q´)-UIFSSAs in subtraction BG-algebras. We provide different characterizations and some equivalent conditions of (∈´,∈´∨q´)-UIFSSAs in terms of the level subsets of subtraction BG-algebras. It has been revealed that the (q´,q´)-UIFSSA are (∈´,∈´)-UIFSSA but the converse does not hold and an example is provided. We introduced (∈´,∈´∨q´)-UIFSIDs and its some usual properties. In addition, h−1(N˜ς) is (∈´,∈´∨q´)-UIFSID. Moreover, if h−1(N˜ς) are an (∈´,∈´∨q´)-UIFSID, then N˜ς are an (∈´,∈´∨q´)-UIFSID. Finally, we characterize (∈´,∈´∨q´kˇ)-UIFSHID which is a generalization of (∈´,∈´∨q´)-UIFSHID.
