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A study on generalized graphs representations of complex neutrosophic information

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Abstract

A complex neutrosophic set is a useful model to properly handle incomplete information of periodic nature. This is characterized by three complex-valued components: truth, indeterminacy and falsity membership functions, whose range is extended from [0, 1] to unit circle in the complex plane. In this article, we define the notion of generalized complex neutrosophic graphs of type 1 and discuss certain of their properties, including regularity and completeness. Further, we describe these properties by several examples and present some of their interesting results. Moreover, we define the score function and accuracy function of complex neutrosophic sets. We describe decision making analysis based on generalized complex neutrosophic graphs of type 1. Finally, we highlight the significance of our proposed model by comparative analysis with the already existing models.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Saba Siddique, Uzma Ahmad & Muhammad Akram

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  1. Saba Siddique
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  2. Uzma Ahmad
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  3. Muhammad Akram
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Correspondence to Saba Siddique.

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Siddique, S., Ahmad, U. & Akram, M. A study on generalized graphs representations of complex neutrosophic information. J. Appl. Math. Comput. 65, 481–514 (2021). https://doi.org/10.1007/s12190-020-01400-0

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  • DOI: https://doi.org/10.1007/s12190-020-01400-0

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