Vague soft set relations and functions

Article type: Research Article

Authors: Alhazaymeh, Khaleed | Hassan, Nasruddin

Affiliations: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi Selangor DE, Malaysia

Note: [] Corresponding author. Nasruddin Hassan, School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor DE, Malaysia. Tel.: +60 3 89213710; E-mail: [email protected]

Abstract: Molodtsov introduced the theory of soft sets as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects. In this paper the concepts of vague soft set relations are introduced as a sub-vague soft set of the Cartesian product of the vague soft sets and related concepts such as equivalent vague soft set relation, partition, composition and function along with some properties and illustrative examples.

Keywords: Composition of fuzzy relations, soft set, soft set relations, vague soft set

DOI: 10.3233/IFS-141403

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 3, pp. 1205-1212, 2015