In this paper, we introduce the concept of intuitionistic fuzzy ideals ($IFI$) within the framework of partially ordered near-rings ($PONR$). We explore the fundamental properties and characterizations of $IFI$ in $PONR$, providing a comprehensive theoretical foundation for their study. Our work extends the existing literature on fuzzy algebraic structures, aligning with advancements in intuitionistic fuzzy sets and their applications in near-ring theory.
Intuitionistic fuzzy ideal of partially ordered near-ring Intuitionistic fuzzy left ideal of partially ordered near-ring Fuzzy algebraic structures
| Primary Language | English |
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| Subjects | Mathematical Logic, Set Theory, Lattices and Universal Algebra |
| Journal Section | Research Article |
| Authors | |
| Submission Date | February 21, 2025 |
| Acceptance Date | June 25, 2025 |
| Publication Date | February 3, 2026 |
| Published in Issue | Year 2026 Volume: 16 Issue: 2 |