Interval valued intuitionistic fuzzy parameterized soft set theory and its decision making

Article type: Research Article

Authors: Deli, Irfan^{a; *} | Karataş, Serkan^b

Affiliations: [a] Muallim Rıfat Faculty of Education, Kilis 7 Aralık University, Kilis, Turkey | [b] Department of Mathematics, Faculty of Arts and Sciences, Ordu University, Ordu, Turkey

Correspondence: [*] Corresponding author. Irfan Deli, Muallim Rıfat Faculty of Education, Kilis 7 Aralık University, 79000 Kilis, Turkey. Tel.: +903488142662; Fax: +903488142663; E-mail: [email protected].

Abstract: In this paper, we first define interval-valued intuitionistic fuzzy parameterized soft sets by combining the interval-valued intuitionistic fuzzy sets and the soft sets from parametrization point of view. By using soft level sets we then construct a parameter reduction method to obtain a better decision making. We finally give a numerical example to show the method working successfully for problems containing uncertain data.

Keywords: Soft sets, interval-valued intuitionistic fuzzy sets, threshold on parameter sets, level sets, parameter reductions, decision making

DOI: 10.3233/IFS-151920

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, pp. 2073-2082, 2016