Soft congruence relation over lattice

Authors : Susanta BERA, Sankar Kumar ROY, Faruk KARAASLAN, Naim ÇAĞMAN

Pages : 1035-1042

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Publication Date : 2017-12-01

Article Type : Research Paper

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