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International Journal of Machine Learning and Cybernetics
Erschienen in: International Journal of Machine Learning and Cybernetics 4/2017

19.02.2016 | Original Article

A ranking method of single valued neutrosophic numbers and its applications to multi-attribute decision making problems

verfasst von: I. Deli, Y. Şubaş

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 4/2017

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Abstract

The concept of a single valued neutrosophic number (SVN-number) is of importance for quantifying an ill-known quantity and the ranking of SVN-numbers is a very difficult problem in multi-attribute decision making problems. The aim of this paper is to present a methodology for solving multi-attribute decision making problems with SVN-numbers. Therefore, we firstly defined the concepts of cut sets of SVN-numbers and then applied to single valued trapezoidal neutrosophic numbers (SVTN-numbers) and triangular neutrosophic numbers (SVTrN-numbers). Then, we proposed the values and ambiguities of the truth-membership function, indeterminacy-membership function and falsity-membership function for a SVN-numbers and studied some desired properties. Also, we developed a ranking method by using the concept of values and ambiguities, and applied to multi-attribute decision making problems in which the ratings of alternatives on attributes are expressed with SVTN-numbers.
Vorheriger Artikel Rough soft lattice implication algebras and corresponding decision making methods
Nächster Artikel Almost periodic solutions for fuzzy cellular neural networks with multi-proportional delays

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Metadaten
Titel
A ranking method of single valued neutrosophic numbers and its applications to multi-attribute decision making problems
verfasst von
I. Deli
Y. Şubaş
Publikationsdatum
19.02.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 4/2017
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-016-0505-3

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