Soft valuation on a generalized soft lattice
Abstract
Lattice theory play an important role in mathematics as well as in other disciplines such as computer science, engineering, cryptography, etc. In this paper, we introduce the concept of generalized soft lattice (gs lattice) and investigate some of its fundamental properties. Further we define soft valuation on a generalized soft lattice (gs lattice) and study its major properties. In the last section we discuss the notion of soft distance function and express it in terms of soft valuation. Here we discuss the notions of soft pseudo metric lattice and soft metric lattice.
Copyright © 2019 D. Susha, Manju John. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
D. Susha, M. John, Soft valuation on a generalized soft lattice, J. Math. Comput. Sci. 10 (2020), 339–358. https://doi.org/10.28919/jmcs/4377
BibTeX
@article{Susha2020,
author = {Susha, D. and John, Manju},
title = {Soft valuation on a generalized soft lattice},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {339--358},
doi = {10.28919/jmcs/4377}
}