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- W1738200842 abstract "The concepts of $(overline{in},overline{in} vee overline{q})$-fuzzy (implicative, positive implicative and fantastic) filters of $BL$-algebras are introduced and some related properties are investigated. Some characterizations of these generalized fuzzy filters are derived. In particular, we describe the relationships among ordinary fuzzy (implicative, positive implicative and fantastic) filters, $(in,ivq)$-fuzzy (implicative, positive implicative and fantastic) filters and $(overline{in},overline{in} vee overline{q})$-fuzzy (implicative, positive implicative and fantastic) filters of $BL$-algebras. Finally, we prove that a fuzzy set $F$ on a $BL$-algebra $L$ is an $(overline{in},overline{in} vee overline{q})$-fuzzy implicative filter of $L$ if and only if it is both $(overline{in},overline{in} vee overline{q})$-fuzzy positive implicative filter and an $(overline{in},overline{in} vee overline{q})$-fuzzy fantastic filter." @default.
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- W1738200842 date "2009-05-23" @default.
- W1738200842 modified "2023-09-27" @default.
- W1738200842 title "Some kinds of $(overline{in},overline{in}vee overline{q})$-fuzzy filters of $BL$-algebras" @default.
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- W1738200842 doi "https://doi.org/10.1016/j.comwa.2009.03.109" @default.
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