Fuzzy Filters of Meet-semilattices
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Keywords:
Meet-semilattice, join-semilattice, fuzzy filter, fuzzy ideal, frame, algebraic fuzzy systemAbstract
The notion of fuzzy filter of a meet-semilattice with truth values in a general frame is introduced and proved certain properties of these. In particular, it is prove that the fuzzy filters form an algebraic fuzzy system. Also, we have established a procedure to construct any fuzzy filter form a given family of filters with certain conditions. Dually, in this paper the notion of fuzzy ideal of a join-semilattice is introduced and discussed certain properties of these, which are analogues to those of fuzzy filters of meet-semilattices.
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