期刊
FUZZY SETS AND SYSTEMS
卷 152, 期 2, 页码 333-348出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2004.10.005
关键词
BL-algebra; Boolean filter; fuzzy boolean filter; fuzzy positive implicative filter
The aim of this paper is to introduce the notions of fuzzy Boolean filters and fuzzy positive implicative filters in BL-algebra and to investigate their properties. Several characterizations of fuzzy Boolean filters and fuzzy positive implicative filters are derived. The extension theorems of fuzzy Boolean filters and fuzzy positive implicative filters are obtained. The relation between fuzzy Boolean filters and fuzzy positive implicative filters is investigated and it is proved that every fuzzy Boolean filter is a fuzzy positive implicative filter, but the converse may not be true. Furthermore, the conditions under which a fuzzy positive implicative filter is a fuzzy Boolean filter are established. (c) 2004 Elsevier B.V. All rights reserved.
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