@article{article_1553887, title={Lifts of $L$-valued powerset mapping systems}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={54}, pages={1730–1736}, year={2025}, DOI={10.15672/hujms.1553887}, author={Zhou, Chang-jie and Yao, Wei}, keywords={completely distributive lattice, L-valued powerset mapping systems, lift}, 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.}, number={5}, publisher={Hacettepe University}