On Soft Lattice Topological Spaces

Sandhya S. Pai; T. Baiju

doi:10.1080/16168658.2021.1929744

On Soft Lattice Topological Spaces

Sandhya S. Pai^*
, T. Baiju

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we introduce Soft Lattice topological spaces which are defined over a soft lattice L with a fixed set of parameter P and it is also a generalisation of soft topological spaces. The notion of soft L-open sets, soft L-closed sets, soft L-closure, soft L-interior point and soft L-neighbourhood are introduced. Further some basic properties of Soft L-Topology are also investigated.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Fuzzy Information and Engineering
Volume	13
Issue number	1
DOIs	https://doi.org/10.1080/16168658.2021.1929744
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Theoretical Computer Science
Information Systems
Logic
Management Science and Operations Research
Industrial and Manufacturing Engineering
Artificial Intelligence
Applied Mathematics

Access to Document

10.1080/16168658.2021.1929744

Cite this

@article{336a83705e3947a599df2d8d9eb9fa2b,

title = "On Soft Lattice Topological Spaces",

abstract = "In this paper, we introduce Soft Lattice topological spaces which are defined over a soft lattice L with a fixed set of parameter P and it is also a generalisation of soft topological spaces. The notion of soft L-open sets, soft L-closed sets, soft L-closure, soft L-interior point and soft L-neighbourhood are introduced. Further some basic properties of Soft L-Topology are also investigated.",

author = "Pai, \{Sandhya S.\} and T. Baiju",

note = "Funding Information: The authors are very much indebted to Dr. Sunil Jacob John, Department of Mathematics, National Institute of Technology, Calicut, Kerala, India for his constant encouragement throughout the preparation of this paper. Publisher Copyright: {\textcopyright} 2021 The Author(s). Published by Taylor \& Francis Group on behalf of the Fuzzy Information and Engineering Branch of the Operations Research Society of China \& Operations Research Society of Guangdong Province.",

year = "2021",

doi = "10.1080/16168658.2021.1929744",

language = "English",

volume = "13",

pages = "1--16",

journal = "Fuzzy Information and Engineering",

issn = "1616-8658",

publisher = "Tsinghua University Press",

number = "1",

}

TY - JOUR

T1 - On Soft Lattice Topological Spaces

AU - Pai, Sandhya S.

AU - Baiju, T.

N1 - Funding Information: The authors are very much indebted to Dr. Sunil Jacob John, Department of Mathematics, National Institute of Technology, Calicut, Kerala, India for his constant encouragement throughout the preparation of this paper. Publisher Copyright: © 2021 The Author(s). Published by Taylor & Francis Group on behalf of the Fuzzy Information and Engineering Branch of the Operations Research Society of China & Operations Research Society of Guangdong Province.

PY - 2021

Y1 - 2021

N2 - In this paper, we introduce Soft Lattice topological spaces which are defined over a soft lattice L with a fixed set of parameter P and it is also a generalisation of soft topological spaces. The notion of soft L-open sets, soft L-closed sets, soft L-closure, soft L-interior point and soft L-neighbourhood are introduced. Further some basic properties of Soft L-Topology are also investigated.

AB - In this paper, we introduce Soft Lattice topological spaces which are defined over a soft lattice L with a fixed set of parameter P and it is also a generalisation of soft topological spaces. The notion of soft L-open sets, soft L-closed sets, soft L-closure, soft L-interior point and soft L-neighbourhood are introduced. Further some basic properties of Soft L-Topology are also investigated.

UR - https://www.scopus.com/pages/publications/85110893331

UR - https://www.scopus.com/pages/publications/85110893331#tab=citedBy

U2 - 10.1080/16168658.2021.1929744

DO - 10.1080/16168658.2021.1929744

M3 - Article

AN - SCOPUS:85110893331

SN - 1616-8658

VL - 13

SP - 1

EP - 16

JO - Fuzzy Information and Engineering

JF - Fuzzy Information and Engineering

IS - 1

ER -

On Soft Lattice Topological Spaces

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this