International Journal of Innovative Research and Development

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Extended Pair of Vague Filters in Residuated Lattices


Affiliations
1 Department of Mathematics, Nirmala College for Women, Coimbatore, India
 

The focus of this paper is to develop the theory of vague filters on residuated lattices. Characterizations of vague filters in residuated lattice are established.  We discuss some properties of vague filters in terms of its level subsets. Also the notion of extended pair of vague filter is introduced and characterize their properties.


Keywords

Vague Filter, Extended Pair of Vague Filter, Distributive Lattice.
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  • Extended Pair of Vague Filters in Residuated Lattices

Abstract Views: 116  |  PDF Views: 3

Authors

K. Reena
Department of Mathematics, Nirmala College for Women, Coimbatore, India
I. Arockiarani
Department of Mathematics, Nirmala College for Women, Coimbatore, India

Abstract


The focus of this paper is to develop the theory of vague filters on residuated lattices. Characterizations of vague filters in residuated lattice are established.  We discuss some properties of vague filters in terms of its level subsets. Also the notion of extended pair of vague filter is introduced and characterize their properties.


Keywords


Vague Filter, Extended Pair of Vague Filter, Distributive Lattice.