Complex Intuitionistic Fuzzy Quasi-Associative Ideals of BCI-algebras
T. Ramesh, M. Balamurugan, Aiyared Iampan
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Source: Crossref
Published: Aug 1, 2025
DOI: 10.29020/nybg.ejpam.v18i3.6331
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This paper explores the application of complex intuitionistic fuzzy sets to the study of quasi-associative ideals in BCI-algebras. We introduce a new concept—complex intuitionistic fuzzy quasi-associative ideals in BCI-algebras—and analyze their fundamental properties. The relationships between complex intuitionistic fuzzy ideals and complex intuitionistic fuzzy quasi-associative ideals are investigated in detail. Furthermore, we present key characterizations of these quasi-associative ideals, providing deeper insights into their structure and role within BCI-algebraic systems. Finally, we prove that every complex intuitionistic fuzzy b-ideal is a complex intuitionistic fuzzy quasi-associative ideal in BCI-algebras.
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