Soft Congruence Relation Over Lattice | Zendy

Susanta Bera | Zendy; Sankar Kumar Roy | Zendy; Faruk Karaaslan | Zendy

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Soft Congruence Relation Over Lattice

Author(s) -

Susanta Bera,

Sankar Kumar Roy,

Faruk Karaaslan

Publication year - 2017

Publication title -

hacettepe journal of mathematics and statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.312

H-Index - 26

ISSN - 1303-5010

DOI - 10.15672/hjms.2017.436

Subject(s) - mathematics , congruence (geometry) , congruence relation , lattice (music) , pure mathematics , congruence lattice problem , discrete mathematics , geometry , distributive lattice , physics , acoustics , distributive property

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.

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