Ternary soft sets based on the (complete) informal context

Article type: Research Article

Authors: Li, Fu^{a; *} | Su, PeiYu^a | Qin, Feng^{a; b}

Affiliations: [a] Department of Mathematics, Qinghai MinZu University, Xining, Qinghai, P.R. China | [b] Department of Mathematics, NanChang, JiangXi Normal University, JiangXi, P.R. China

Correspondence: [*] Corresponding author. Fu Li, E-mail: fl0971@163.com.

Abstract: In this paper, the ternary soft set is discussed based on the soft triadic (complete) formal context. The ternary soft set is a generalization of Molodsov’s soft set, which can characterize the objects universe more clearly by the attributes set, and different from type-2 soft set. The definitions of the ternary soft set and ternary formal context are given and illustrated with some examples. A mindmap is used to show the idea of ternary soft set visually. The usage of bijective soft set enables fast decision making process by our work. We demonstrate the idea with a flowchart and a case study. Meanwhile, the soft operations among the ternary soft sets are defined and their properties are studied.

Keywords: Soft set, soft (formal) context, ternary soft set, bijective soft set

DOI: 10.3233/JIFS-213155

Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 3, pp. 2921-2931, 2022