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Fuzzy Boolean and fuzzy prime lters in residuated lattices

Publish Year: 1390
Type: Conference paper
Language: English
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ICFUZZYS11_020

Index date: 26 July 2011

Fuzzy Boolean and fuzzy prime lters in residuated lattices abstract

In this paper, some types of fuzzy Boolean lters and fuzzy prime lters in a residuated lattice are introduced and some of their properties and the connections between them are given. Particularly, it is shown that a fuzzy normal lter is a fuzzy Boolean lter or a fuzzy prime lter if and only if the quotient residuated lattice induced by this fuzzy lter is a Boolean algebra or a linearly ordered residuated lattice, respectively

Fuzzy Boolean and fuzzy prime lters in residuated lattices Keywords:

Fuzzy Boolean and fuzzy prime lters in residuated lattices authors

Mahmood Bakhshi

Department of Mathematics, Bojnord University, Bojnord, Iran

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