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Article type: Research Article
Authors: Deli, Irfana; * | Şubaş, Yusufb
Affiliations: [a] Muallim Rıfat Faculty of Education, Kilis 7 Aralık University, Kilis, Turkey | [b] Kilis Vocational High School, Kilis 7 Aralık University, Kilis, Turkey
Correspondence: [*] Corresponding author. Irfan Deli, Muallim Rıfat Faculty of Education, Kilis 7 Aralık University, 79000 Kilis, Turkey. Tel.: +09 0 348 814 26 62; Fax: +09 0 348 814 26 63; E-mail: [email protected].
Abstract: Since the single valued triangular neutrosophic number (SVTrN-number) is a generalization of triangular fuzzy numbers and triangular intuitionistic fuzzy numbers, it may express more abundant and flexible information as compared with the triangular fuzzy numbers and triangular intuitionistic fuzzy numbers. This article introduces an approach to handle multi-criteria decision making (MCDM) problems under the SVTrN-numbers. Therefore, we first proposed some new geometric operators are called SVTrN weighted geometric operator, SVTrN ordered weighted geometric operator and SVTrN ordered hybrid weighted geometric operator. Also we studied some desirable properties of the geometric operators. And then, an approach based on the SVTrN ordered hybrid weighted geometric operator is developed to solve multi-criteria decision making problems with SVTrN-number. Finally, a numerical example is used to demonstrate how to apply the proposed approach.
Keywords: Neutrosophic set, single valued neutrosophic numbers, triangular neutrosophic numbers, geometric operators, decision making
DOI: 10.3233/JIFS-151677
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 291-301, 2017
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