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Multicriteria Decision-Making Method Under a Single Valued Neutrosophic Environment

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  • Shapu Ren

    (Shaoxing University, Department of Electrical and Information Engineering, Shaoxing, China)

Abstract

A single valued neutrosophic set (SVNS) is a subclass of neutrosophic sets, which generalizes fuzzy sets, interval valued fuzzy set, and intuitionistic fuzzy set. It can be used to easily express incomplete, indeterminate and inconsistent information. This paper introduces the Dice similarity measure of single valued neutrosophic numbers (SVNNs) for ranking SVNNs and a single valued neutrosophic prioritized weighted geometric (SVNPWG) operator for aggregating single valued neutrosophic information. Based on the SVNPWG operator and the Dice similarity measure for SVNNs, a multicriteria decision-making method with different priority levels in the criteria is established in which the evaluation values of alternatives with respective to criteria are represented in the form of SVNNs. The ranking order of alternatives is performed through the Dice measure and the best one(s) can be determined as well. Finally, an illustrative example shows the application of the proposed method.

Suggested Citation

  • Shapu Ren, 2017. "Multicriteria Decision-Making Method Under a Single Valued Neutrosophic Environment," International Journal of Intelligent Information Technologies (IJIIT), IGI Global, vol. 13(4), pages 23-37, October.
    • Handle: RePEc:igg:jiit00:v:13:y:2017:i:4:p:23-37
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    Cited by:

    1. Lifeng Mu & Vijayan Sugumaran & Fangyuan Wang, 2020. "A Hybrid Genetic Algorithm for Software Architecture Re-Modularization," Information Systems Frontiers, Springer, vol. 22(5), pages 1133-1161, October.
    2. Lifeng Mu & Vijayan Sugumaran & Fangyuan Wang, 0. "A Hybrid Genetic Algorithm for Software Architecture Re-Modularization," Information Systems Frontiers, Springer, vol. 0, pages 1-29.
    3. Juan Du & Hengqing Jing & Kim-Kwang Raymond Choo & Vijayan Sugumaran & Daniel Castro-Lacouture, 2020. "An Ontology and Multi-Agent Based Decision Support Framework for Prefabricated Component Supply Chain," Information Systems Frontiers, Springer, vol. 22(6), pages 1467-1485, December.
    4. Juan Du & Hengqing Jing & Kim-Kwang Raymond Choo & Vijayan Sugumaran & Daniel Castro-Lacouture, 0. "An Ontology and Multi-Agent Based Decision Support Framework for Prefabricated Component Supply Chain," Information Systems Frontiers, Springer, vol. 0, pages 1-19.

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