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Vector aggregation operator and score function to solve multi-criteria decision making problem in neutrosophic environment

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Abstract

In our real world there exist uncertain, imprecise, incomplete, and inconsistent information. Those kinds of information can be suitably handled by neutrosophic fuzzy set as it is the generalization of classic set, fuzzy set and intuitionistic fuzzy set. The uncertain, imprecise, incomplete and inconsistent information provided by several sources need to be aggregated to come to a conclusion. Aggregation and fusion of information are basic concerns for all kinds of knowledge based systems. The main purpose of this paper is to aggregate neutrosophic fuzzy information by introducing a new aggregation operator in vector approach. The new approach is simple based on basic vector operations and reliable as it will always give a meaningful result. Also a new vector score function has been defined to compare the neutrosophic fuzzy numbers and explained through geometrical interpretation. The newly proposed vector score function always gives different values for any two different neutrosophic numbers. Further, a multiple-criteria decision-making method is established on the basis of the proposed operator and newly defined score function.

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Acknowledgements

The authors are very grateful to Xi-Zhao Wang for his insightful and constructive comments and suggestions which have been very helpful in improving the paper.

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  1. Department of Mathematics, NIT, Durgapur, 713209, India

    Kanika Mandal & Kajla Basu

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  1. Kanika Mandal
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  2. Kajla Basu
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Correspondence to Kanika Mandal.

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Mandal, K., Basu, K. Vector aggregation operator and score function to solve multi-criteria decision making problem in neutrosophic environment. Int. J. Mach. Learn. & Cyber. 10, 1373–1383 (2019). https://doi.org/10.1007/s13042-018-0819-4

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