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Intuitionistic Fuzzy Filters Of Residuated Lattices

Author

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  • SHOKOOFEH GHORBANI

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

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.

Suggested Citation

  • Shokoofeh Ghorbani, 2011. "Intuitionistic Fuzzy Filters Of Residuated Lattices," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 7(03), pages 499-513.
    • Handle: RePEc:wsi:nmncxx:v:07:y:2011:i:03:n:s1793005711002049
    DOI: 10.1142/S1793005711002049
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