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Generalization of Rough Bi-ideals in Quantales Based on Cores of Successor Classes Under Fuzzy Relations

Year: 2025
Type: article
Abstract: In quantales, algebraic structures that use fuzzy relations and cores of successor class, the notion of upper and lower approximation bi-ideals is introduced. In quantales with upper and lower approximations, we present illustrations of bi-ideals, interior ideals, quasi-ideals, (m, n)-ideals, and (m, n)-quasi-ideal and explore the features of these bi-ideals by expanding the concept of left and right ideals. Furthermore, we develop semi-prime bi-ideals and prime bi-ideals with upper and lower approximations, and we investigate their properties in quotient quantales. This work aims to improve our understanding of these algebraic structures to minimize uncertainty in a variety of domains.
DOI: 10.1007/s44196-025-01027-8
Authors: Muhammad Yousaf, Saqib Mazher Qurashi, Hafiz Muhammad Awais, Muhammad Abdaal Bin Iqbal, Muhammad Zubair Raza, Maasoomah Sadaf, Ghazala Akram, Homan Emadifar, Abeer S. Khalifa, Karim K. Ahmed
Institutions: Government College University, Faisalabad, University of Narowal, University of the Punjab, Technical and Vocational University, Saveetha University, German International University
Language: English
Open Access status: gold
Estimated APC paid: $2,490
OpenAlex ID: W4416121298
FWCI: 0.496
Cites: 42
Cited by: 1
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