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Some operations on Dombi neutrosophic graph

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Abstract

Neutrosophic graph is an extension of fuzzy graph and intuitionistic fuzzy graph. It is helpful to handle the uncertainty (vagueness), related with the information of any decision making problem, where intuitionistic fuzzy graph models may fail to model properly. The Dombi operators have some excellent efficiency and flexibility to work with complex decision making problems. Utilizing these two ideas, we introduce a novel concept of Dombi neutrosophic graph in this manuscript. Some different types of Dombi neutrosophic graph such as a regular Dombi neutrosophic graph, strong Dombi neutrosophic graph, complete Dombi neutrosophic graph, and complement Dombi neutrosophic graph are presented and some properties are also described. We also define some different operations on Dombi neutrosophic graphs; viz. union, intersection composition, cartesian product, boxdot product, homomorphic product and modular product. An application of Dombi neutrosophic graph is also described in this manuscript.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Durgapur, 713209, India

    Tejinder Singh Lakhwani, Kartick Mohanta & Anita Pal

  2. Department of Computer Sciences and Engineering, Saroj Mohan Institute of Technology, Hooghly, India

    Arindam Dey

  3. Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata, Nadia, West Bengal, 721249, India

    Sankar Prasad Mondal

Authors
  1. Tejinder Singh Lakhwani
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  2. Kartick Mohanta
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  3. Arindam Dey
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  4. Sankar Prasad Mondal
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  5. Anita Pal
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Correspondence to Arindam Dey.

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Lakhwani, T.S., Mohanta, K., Dey, A. et al. Some operations on Dombi neutrosophic graph. J Ambient Intell Human Comput 13, 425–443 (2022). https://doi.org/10.1007/s12652-021-02909-3

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  • DOI: https://doi.org/10.1007/s12652-021-02909-3

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