On L~M-Valued F-Transforms, L~M-Valued Fuzzy Rough Sets and L~M-Valued Fuzzy Transformation Systems

摘要

The goal of this contribution is to propose L~M-valued F-transforms, which are essentially the many-valued generalizations of the notion of lattice-valued F-transforms. Further, we associate the concepts of L~M-valued fuzzy rough sets and ML-graded fuzzy topologies/co-topologies with L~M-valued F-transforms. Moreover, we show an interesting relationship between L~M-valued F-transforms and L~M-valued fuzzy transformation systems.