A STUDY ON THE COMPLEMENTS OF THE ELEMENTS OF Z-SOFT COVERING BASED ROUGH LATTICE AND ITS APPLICATION

A STUDY ON THE COMPLEMENTS OF THE ELEMENTS OF Z-SOFT COVERING BASED ROUGH LATTICE AND ITS APPLICATION

S. Pavithra, A. Manimaran, B. Praba, A. Erfanian, I. Muchtadi-Alamsyah

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Abstract

In this paper, we discuss information system I = (Ω,B) and related Z-soft covering based rough lattices (TS, ∨, ∧) in which ∨ denotes join and ∧ denotes meet. We prove the existence of maximal and minimal elements for Z-soft covering based rough lattice and define the complement of elements of the set TS. The proposed concepts are explained through examples.

Keywords

Soft set; Rough set; Lattice; Boolean algebra.