The theory of neutrosophic cubic sets and their applications in pattern recognition

Mumtaz Ali · İrfan Deli̇ · Florentín Smarandache

106 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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Fuzzy and Soft Set Theory Multi-Criteria Decision Making Rough Sets and Fuzzy Logic

Abstract

In this study, we presented concept of neutrosophic cubic set by extending the concept of cubic set to neutrosophic set. We also defined internal neutrosophic cubic set (INCS) and external neutrosophic cubic set (ENCS). Then, we proposed some new type of INCS and ENCS is called 13-INCS (or 23-ENCS) , 23-INCS (or 13-ENCS). Then we study some of their relevant properties. Finally, we introduce an adjustable approach to NCS based decision making by similarity measure and an illustrative example is employed to show that they can be successfully applied to problems that contain uncertainties.

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References

1965Fuzzy sets 1996Fuzzy sets 2014Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making 2015Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems 2014An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets 2014An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets 2014Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems 2013Correlation Coefficient of Interval Neutrosophic Set

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