Abstract
It is proved that a pair of dual fuzzy rough approximation operators can induce a topological space if and only if the fuzzy relation is reflexive and transitive. The sufficient and necessary condition that a fuzzy interior (closure) operator derived from a fuzzy topological space can associate with a fuzzy reflexive and transitive relation such that the induced fuzzy lower (upper) approximation operator is the fuzzy interior (closure) operator is also examined. © Springer-Verlag Berlin Heidelberg 2005.
Cite
CITATION STYLE
Wu, W. Z. (2006). A study on relationship between fuzzy rough approximation operators and fuzzy topological spaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3613 LNAI, pp. 167–174). Springer Verlag. https://doi.org/10.1007/11539506_21
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