Some kinds of falling fuzzy filters of lattice implication algebras

In this paper, the concepts of falling fuzzy （implicative, associative） filters of lattice implication algebras based on the theory of falling shadows and fuzzy sets are presented at first. And then the relations between fuzzy （implicative, associative） filters and falling fuzzy （implicative, associ...

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Veröffentlicht in:	Applied Mathematics-A Journal of Chinese Universities 2015-09, Vol.30 (3), p.299-316
Hauptverfasser:	Ma, Xue-ling, Zhan, Jian-ming, Jun, Young-Bae
Format:	Artikel
Sprache:	eng
Schlagworte:	algebra Applications of Mathematics associative falling filter fuzzy implication implicative inference lattice Mathematics Mathematics and Statistics relation shadow
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Zusammenfassung:	In this paper, the concepts of falling fuzzy （implicative, associative） filters of lattice implication algebras based on the theory of falling shadows and fuzzy sets are presented at first. And then the relations between fuzzy （implicative, associative） filters and falling fuzzy （implicative, associative） filters are provided. In particular, we put forward an open question on a kind of falling fuzzy filters of lattice implication Mgebras. Finally, we apply falling fuzzy inference relations to lattice implication algebras and obtain some related results.
ISSN:	1005-1031 1993-0445
DOI:	10.1007/s11766-015-3204-z