- Hacettepe Journal of Mathematics and Statistics
- Vol: 46 Issue: 6
- Soft congruence relation over lattice
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
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