Unified framework for type-n extensions of fuzzy, neutrosophic, and plithogenic offsets: Definitions and interconnections
نویسندگان
1 Department of Basic Science, Applied Science Private University, Amman, 11931, Jordan.
2 Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, PO box 330127, Jordan.
3 Department of Computer Information Systems,The University of Jordan-Aqaba Branch, Aqaba 2595, Jordan.
4 Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, Irbid 21110, Jordan.
5 Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, Irbid 21110, Jordan.
6 Faculty of Computer Studies, Arab Open University, Saudi Arabia.
7 School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia.
8 Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan.
doi
10.22105/jfea.2025.514314.1858چکیده
Set-theoretic frameworks such as fuzzy, neutrosophic, and plithogenic sets are crucial in modeling uncertainty. This paper introduces a unified Type-n framework that extends these models using overset, underset, and offset concepts recursively. Definitions for Type-n Fuzzy, Neutrosophic, and Plithogenic Offsets are provided. The framework captures multi-layered uncertainty, preserves classical cases, and supports extreme degrees of truth, falsity, and indeterminacy. Its theoretical foundations pave the way for applications in AI and complex decision systems.
