Fuzzy rough sets, fuzzy preorders and fuzzy topologies

Authors:
S. P. Tiwari;Arun K. Srivastava
Affiliations:
Department of Applied Mathematics, Indian School of Mines, Dhanbad 826 004, India;Department of Mathematics and Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi 221 005, India
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 4
Cited 1

On relationship between modified sets, topological spaces and rough sets

Fuzzy Sets and Systems
On the topological properties of fuzzy rough sets

Fuzzy Sets and Systems
The relationship between L-fuzzy rough set and L-topology

Fuzzy Sets and Systems
On the generalization of fuzzy rough sets

IEEE Transactions on Fuzzy Systems

Generalized fuzzy rough approximation operators determined by fuzzy implicators

International Journal of Approximate Reasoning

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Abstract

This paper shows that observations made by different authors at different times regarding one-to-one correspondence between the family of fuzzy preorders on a nonempty set and the family of all fuzzy topologies on this set satisfying certain extra conditions are essentially equivalent.