Soft congruence relation over lattice

Abstract

In this paper, we first describe soft congruence relation over a lattice. We then define the concepts of complete soft congruence relation. Besides
this, the concepts of upper and lower approximations of a subset in a lattice are depicted based on this soft congruence relation. We then give their related properties with examples to investigate their characterizations.

Keywords

• Rough sets,Soft sets,Lattices,Soft congruence relations

References

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