Lifts of $L$-valued powerset mapping systems

Year 2025, Volume: 54 Issue: 5, 1730 - 1736, 29.10.2025

Chang-jie Zhou , Wei Yao

https://doi.org/10.15672/hujms.1553887

https://izlik.org/JA24NK36EZ

Abstract

Motivated by Zadeh's extension of mappings, this paper introduces a concept of lifts of powerset mapping systems. In this framework, $L$-subsets are lifts of ordinary subsets, $L$-Zadeh functions are lifts of ordinary mappings, $L$-fuzzy rough set operators are lifts of classical rough set operators, $L$-interior/closure operators of $L$-topology are lifts of interior/closure operators of level topologies. Consequently, lifts of powerset mapping systems can be considered as a useful fuzzy structures for future study.

Keywords

completely distributive lattice , L-valued powerset mapping systems , lift

Project Number

12371462, 12231007

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