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Fuzzy topology on fuzzy sets and tolerance topology
Journal article   Peer reviewed

Fuzzy topology on fuzzy sets and tolerance topology

M.K. Chakraborty and T.M.G. Ahsanullah
Fuzzy sets and systems, Vol.45(1), pp.103-108
10/01/1992
DOI: https://doi.org/10.1016/0165-0114(92)90096-M

Abstract

fuzzy relation Fuzzy topology subspace topology tolerance space tolerance topology
In this paper fuzzy topology has been defined on a fuzzy set. The notion of quasi-coincidence is extended in order to fit this new situation and to generalize the concept of q-neighbourhood introduced originally by Ming and Ming (1980). The generalized q-neighbourhood system has been utilized to introduce tolerance topology on a fuzzy set with a fuzzy tolerance relation.

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