Subsethood measure for single valued neutrosophic sets

Article type: Research Article

Authors: Şahin, Rıdvan^* | Küçük, Ahmet

Affiliations: Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey

Correspondence: [*] Correspondence to: Rıdvan Şahin, Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey. Tel.: +90 442 2315735; E-mail: mat.ridone@gmail.com.

Abstract: The main aim of this paper is to introduce a neurosophic subsethood measure for single valued neutrosophic sets. For this purpose, we first introduce a system of axioms for subsethood measure of single valued neutrosophic sets. Then we give a simple subsethood measure based to distance measure. Finally, to show effectiveness of intended subsethood measure, an application is presented in multicriteria decision making problem and the obtained results are discussed. Though having a simple measure for calculation, the subsethood measure presents a new and useful approach to deal with neutrosophic information.

Keywords: Subsethood measure, distance measure, fuzzy subsethood, neutrosophic subsethood, multicriteria decision-making

DOI: 10.3233/IFS-141304

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 2, pp. 525-530, 2015