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- W3131241073 abstract "Abstract It is known that, for any L- fuzzy set X , there is an associated L- fuzzy point set, which is a crisp set. Further, for these sets X and, there are four associated objects of study, namely: the poset of L -fuzzy i -covers of X , the poset of L -fuzzy tolerance relations on X , and the poset of L -fuzzy sc -covers of, the poset of tolerance relations on . In this paper, we establish Lagois connection between certain type of crisp covers of L -fuzzy point set, certain type of tolerance relations on the same set and construct a commutative diagram involving the said four objects in terms of Galois/Lagois connections among them. Further, we show how the Galois/Lagois connections among the sets of L -fuzzy i -covers, L -fuzzy tolerance relations, and their associated objects, together capture the improvement in strengthening the fuzzy membership grade of L -fuzzy i -covers, L -fuzzy tolerance relations." @default.
- W3131241073 created "2021-03-01" @default.
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- W3131241073 date "2021-02-01" @default.
- W3131241073 modified "2023-09-24" @default.
- W3131241073 title "A bird’s eye view of the connections among L-fuzzy i-covers, c-covers and (L-fuzzy) tolerances of L-fuzzy (point) set." @default.
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- W3131241073 doi "https://doi.org/10.1088/1742-6596/1767/1/012052" @default.
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