For L being a GL-quantale and based on the concept of L-valued relations, we propose generalized L-fuzzy rough sets as a further generalization of L-fuzzy rough sets, and then characterized the L-fuzzy rough sets are from both constructive and axiomatic approaches.Li, FeiYue, YueliYao, ...
L-fuzzy rough setCl-monoidM-valued measure of inclusion(LM)-fuzzy topology(LM)-fuzzy co-topologyWe develop a scheme allowing to measure the "quality" of rough approximation of fuzzy sets. This scheme is based on what we call "an approximation quadruple" (L, M, Φ, ψ) where L and ...
L-fuzzy setM-relationL-fuzzy rough setCl-monoidM-valued measure of inclusionL, $$ L , M)-fuzzy topologyL, $$ L , M)-fuzzy co-topologyWe develop a scheme allowing to measure the "quality" of rough approximation of fuzzy sets. This scheme is based on what we call "an approximation ...
(A. ostak, Towards the theory of approximate systems: variable-range categories. Proceedings of ICTA2011, Cambridge Univ. Publ. (2012) 265–284.) Such variable-range (quasi-)approximate systems can be realized as special families of L -fuzzy rough sets indexed by elements of a complete ...