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Tolerance Based Rough Algebras Induced by Blocks

N. Kishore Kumar*, M. P. K. Kishore**, S. K. Vali***

* Department of Mathematics, Raghu Engineering College, Visakhapatnam, Andhra Pradesh, India.

** Gayatri Vidya Parishad College of Engineering (A), Visakhapatnam, Andhra Pradesh, India.

*** Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India.

Periodicity:July - December'2023
DOI : https://doi.org/10.26634/jmat.12.2.20136

Abstract

The theory of rough sets has been classified into several directions where the information granules are generated using tolerances, pre-orders and binary relations. Maximal Compatibility Block (MCB) plays an important role in case of tolerance relations. In the present work, the lattice structure of rough sets generated by MCBs is explored. The concepts are applied to establish equivalence between the isomorphism of graphs with isomorphism of rough lattices constructed using MCBs.

Keywords

Rough Set (RS), Block based Rough Set, Lattice, Distributive Lattice, Graphs.

How to Cite this Article?

Kumar, N. K., Kishore, M. P. K., and Vali, S. K. (2023). Tolerance Based Rough Algebras Induced by Blocks. i-manager’s Journal on Mathematics, 12(2), 12-21. https://doi.org/10.26634/jmat.12.2.20136

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