NN-Harmonic Mean Aggregation Operators-Based MCGDM Strategy in a Neutrosophic Number Environment

A neutrosophic number (a + bI) is a significant mathematical tool to deal with indeterminate and incomplete information which exists generally in real-world problems, where a and bI denote the determinate component and indeterminate component, respectively. We define score functions and accuracy fun...

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Bibliographic Details
Published in:Axioms 2018-02, Vol.7 (1), p.12
Main Authors: Mondal, Kalyan, Pramanik, Surapati, Giri, Bibhas, Smarandache, Florentin
Format: Article
Language:English
Subjects:
Agglomeration
cosine function
Decision making
Feasibility studies
Mathematical analysis
multi-criteria group decision-making
neutrosophic number
neutrosophic number harmonic mean operator (NNHMO)
neutrosophic number weighted harmonic mean operator (NNWHMO)
Operators (mathematics)
Ranking
score function
Sensitivity analysis
Trigonometric functions
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Summary:A neutrosophic number (a + bI) is a significant mathematical tool to deal with indeterminate and incomplete information which exists generally in real-world problems, where a and bI denote the determinate component and indeterminate component, respectively. We define score functions and accuracy functions for ranking neutrosophic numbers. We then define a cosine function to determine the unknown weight of the criteria. We define the neutrosophic number harmonic mean operators and prove their basic properties. Then, we develop two novel multi-criteria group decision-making (MCGDM) strategies using the proposed aggregation operators. We solve a numerical example to demonstrate the feasibility, applicability, and effectiveness of the two proposed strategies. Sensitivity analysis with the variation of “I” on neutrosophic numbers is performed to demonstrate how the preference ranking order of alternatives is sensitive to the change of “I”. The efficiency of the developed strategies is ascertained by comparing the results obtained from the proposed strategies with the results obtained from the existing strategies in the literature.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms7010012