Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
391144 | Fuzzy Sets and Systems | 2007 | 10 Pages |
Abstract
The present paper introduces L-contiguity and L-merotopy and presents a unified study of L-proximity, L-contiguity and L-merotopy on a set X. Corresponding to each L-contiguity there is an L-merotopy which is contigual, if this L-contiguity is obtained by restricting the cardinality of a given L-merotopy, then the two L-merotopies in hand are the same. It is shown that the family of all L-contiguities and the family of all L-contiguities, which induce a given L-proximity, form complete distributive lattices.
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