Lattice ordered soft group and its application in urban planning

Article type: Research Article

Authors: Vimala, J.^{a; *} | Vijayalakshmi, L.^a | Peng, Xindong^b

Affiliations: [a] Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India | [b] School of Information Science and Engineering, Shaoguan University, Shaoguan, China

Correspondence: [*] Corresponding author. J. Vimala, Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India. E-mail: vimaljey@alagappauniversity.ac.in.

Abstract:  Molodtsov introduced soft set theory. Soft set theory has been emerged as a mathematical tool to solve complicated problems with uncertainity. In this paper by combining lattices and soft group the new hybrid structure lattice ordered soft group and its algebraic operations are introduced. Finally an application of lattice ordered soft group on urban planning is analysed.

Keywords: Soft set, soft group, lattice ordered soft set, lattice ordered soft group, decision making

DOI: 10.3233/JIFS-182662

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 3, pp. 2951-2959, 2020