Application of Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra
V. S. Naga Malleswari*1, G. Luka2, Bhagyalakshmi Kothuru3, T. Srinivasa Rao4, V. Amarendra Babu5
1 Department of Freshman Engineering, PVP Siddhartha Institute Of Technology, Vijayawada, India
2 Department of Mathematics, Government Polytechnic for minorities, Guntur, India
3Department of Mathematics, KKR&KSR Institute of Technology&Sciences,Guntur, India
4Department of Mathematics, KL university, Vaddeswaram, India
5Department of Mathematics, Acharya Nagarjuna University, Guntur, India
Emails: vsnm.maths@gmail.com; gunturuluka@gmail.com; mblakshmi12@gmail.com; tsr_2505@kluniversity.in; amar521@gmail.com
Abstract
We introduced Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra. We proved some properties and equivalent conditions of both the filters. Finally we proved that “Every Neutrosophic positive implicative filter is a Neutrosophic implicative filter” and “Every Neutrosophic positive implicative filter is a Neutrosophic filter”.
Keywords: Neutrosophic set (NS); Neutrosophic filter (NF); Neutrosophic implicative filter (NIF); Neutrosophic positive implicative filter (NPIF); Lattice implication algebra (LIA).