Generalized Rough sets induced by filters in residuated lattices

K.Reena; I. Arockiarani

doi:https://doi.org/10.14445/22315373/IJMTT-V29P516

International Journal of Mathematics Trends and Technology

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Volume 29 | Number 2 | Year 2016 | Article Id. IJMTT-V29P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V29P516

Generalized Rough sets induced by filters in residuated lattices

K.Reena, I. Arockiarani

Abstract

The focus of this paper is to study the special properties of the rough sets which can be constructed by means of the congruences determined by filters of residuated lattice. Also the properties of the generalized rough sets with respect to filters of residuated lattice are investigated.

Keywords

Rough set, residuated lattice, set-valued mapping, generalized rough set.

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Citation :

K.Reena, I. Arockiarani, "Generalized Rough sets induced by filters in residuated lattices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 29, no. 2, pp. 105-112, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V29P516