INTUITIONISTIC FUZZY FILTERS OF RESIDUATED LATTICES

Shokoofeh Ghorbani ()
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Shokoofeh Ghorbani: Department of Mathematics of Bam, Shahid Bahonar University of Kerman, Kerman, Iran

New Mathematics and Natural Computation (NMNC), 2011, vol. 07, issue 03, 499-513

Abstract: In this paper, the concept of intuitionistic fuzzy sets is applied to residuated lattices. The notion of intuitionistic fuzzy filters of a residuated lattice is introduced and some related properties are investigated. The characterizations of intuitionistic fuzzy filters are obtained. We show that the set of all the intuitionistic fuzzy filters of a residuated lattice forms a complete lattice and we find the distributive sublattices of it. Finally, the correspondence theorem for intuitionistic fuzzy filters is established.

Keywords: Residuated lattice; intuitionistic fuzzy filters; distributive lattice; homomorphism (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S1793005711002049

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