On the relationship among F-transform, fuzzy rough set and fuzzy topology

Irina Perfilieva, Anand Pratap Singh, S. P. Tiwari · Advances in intelligent systems research/Advances in Intelligent Systems Research · 2015

The objective of this work is to associate the concepts of fuzzy rough sets and fuzzy topologies with fuzzy transform.It is shown here that the fuzzy transform can be viewed as fuzzy approximation operators studied in the operator-oriented view of fuzzy rough set theory and the use of fuzzy rough set results reduces efforts in proving fuzzy transform theoretic results.We present a glimpse that fuzzy topological results can also be used in similar fashion for fuzzy transform theoretical results.

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