Unified framework for type-n extensions of fuzzy, neutrosophic, and plithogenic offsets: Definitions and interconnections

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.

کلیدواژه ها:

Plithogenic Set ، Fuzzy set ، neutrosophic set ، Offset ، Type-n Extension ، Decision Making