Some applications of similarity of soft sets

Article type: Research Article

Authors: Borah, Manash Jyoti^a | Hazarika, Bipan^{b; c; *}

Affiliations: [a] Department of Mathematics, Bahona College, Jorhat, Assam, India | [b] Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, India | [c] Department of Mathematics, Gauhati University, Guwahati, Assam, India

Correspondence: [*] Corresponding author. Bipan Hazarika, Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, India. E-mail: [email protected].

Abstract: This paper is an extension work of similarity measure of soft sets initiated by Majumdar and Samanta [15, 16]. Firstly, we have discussed some properties of similarity of soft sets. After this, we have introduced some new notions such as exact fuzzy soft points, pointwise partial similarity and their properties. Also we have discussed equality of soft sets based on similarity function. Finally we have shown two applications, one for similarity measure of two face sized and another equality of same composition drugs.

Keywords: Fuzzy soft sets, matching function, pointwise partial similarity, similarity

DOI: 10.3233/JIFS-17664

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3767-3777, 2017