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Complex neutrosophic concept lattice and its applications to air quality analysis

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  • Singh, Prem Kumar

Abstract

In the current year, the precise measurement of uncertainty and fluctuation exists in a complex fuzzy attributes is addressed as computationally and mathematically expensive tasks with regard to its graphical analytics. To deal with this problem the calculus of complex neutrosophic sets are recently introduced to characterize the uncertainty and its changes based on its truth, indeterminacy, and falsity membership–value, independently. This given a way to represent the given data sets in form of complex neutrosophic matrix for further analysis towards knowledge processing tasks. In this process, a major problem arises when an expert wants to find some of the interesting patterns in the given complex neutrosophic data sets to solve the particular problem. To resolve this issue, the current paper proposes a method for step by step demonstration to investigate the complex neutrosophic concepts and their graphical structure visualization based on their Lower Neighbors. One of the suitable examples of the proposed method is also given for precise measurement of uncertainty exists in Air Quality Index (AQI) and its pattern at given phase of time.

Suggested Citation

  • Singh, Prem Kumar, 2018. "Complex neutrosophic concept lattice and its applications to air quality analysis," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 206-213.
    • Handle: RePEc:eee:chsofr:v:109:y:2018:i:c:p:206-213
    DOI: 10.1016/j.chaos.2018.02.034
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    References listed on IDEAS

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    1. Singh, Prem Kumar, 2017. "Complex vague set based concept lattice," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 145-153.
    2. Ch., Aswani Kumar & Dias, Sérgio M. & Vieira, Newton J., 2015. "Knowledge reduction in formal contexts using non-negative matrix factorization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 46-63.
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    Cited by:

    1. Roberto G. Aragón & Jesús Medina & Eloísa Ramírez-Poussa, 2021. "Identifying Non-Sublattice Equivalence Classes Induced by an Attribute Reduction in FCA," Mathematics, MDPI, vol. 9(5), pages 1-15, March.
    2. Junhua Hu & Dan Chen & Pei Liang, 2019. "A Novel Interval Three-Way Concept Lattice Model with Its Application in Medical Diagnosis," Mathematics, MDPI, vol. 7(1), pages 1-14, January.

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