On Bijective Correspondence between Fuzzy Reflexive Approximation Spaces and Fuzzy Transformation Systems
Sutapa Mahato, S. P. Tiwari · New Mathematics and Natural Computation · 2020
The objective of this paper is to establish the relationship between fuzzy approximation operators and fuzzy transformation systems. We show that for each upper fuzzy transformation system there exists a fuzzy reflexive approximation space and vice-versa. We further establish such relationship between lower fuzzy transformation systems and fuzzy reflexive approximation spaces under the condition that the underline lattice structure satisfies double negation law.