Anvar Ahamad Kadari
Mathematics
September 2023
This work provides a thorough examination of intuitionistic fuzzy ideals, with an emphasis on investigating paradoxical translations and algebraic properties in various algebraic structures, especially in ring theory. Intuitionistic fuzzy sets, well known for their capacity to accurately represent uncertainty, are at the center of this study. The article explores the complex nature of conflicting translations and their consequences for intuitionistic fuzzy ideals within the context of intuitionistic fuzzy set theory. The research expands its scope to study the behavior of intuitionistic fuzzy ideals in other algebraic structures, such as semigroups and rings, going beyond conventional algebraic settings. This work advances theoretical knowledge and practical applications in fields where uncertainty plays a major role by revealing the complex relationships between contradicting translations and algebraic properties. All things considered, the work sheds important light on how intuitionistic fuzzy ideals behave, particularly inside ring structures, with consequences for algebraic theory and related topics.
1125- 1140
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