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New Concepts on Quadripartitioned Single-Valued Neutrosophic Graph with Real-Life Application

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Abstract

The partition of indeterminacy function of the neutrosophic set into contradiction part and ignorance part is defined as the quadripartitioned single-valued neutrosophic set. This work addresses the concepts of quadripartitioned single-valued neutrosophic graph, and some operations on the proposed graph are studied. The Cartesian product, cross product, lexicographic product, strong product and composition of quadripartitioned single-valued neutrosophic graph are investigated. The proposed concept is the best representation of finding a suitable climate to cultivate apple in Himachal Pradesh. The model provides us information about the selection of location for the apple cultivation. We describe potential applications of the typical apple plant grows in extremely cold areas which are suitable for higher production is illustrated using the developed concepts.

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Acknowledgements

The authors of this paper should like to thank the Editors and Associate Editors of this journal as well as the anonymous reviewers who have generously given up the valuable time to review which helps to improve the quality of this manuscript.

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Authors and Affiliations

  1. PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu, 620020, India

    S. Satham Hussain

  2. Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology-Chennai Campus, Chennai, Tamil Nadu, 600127, India

    N. Durga

  3. Department of Mathematics, University of Mazandaran, 4818839487, Babolsar, Iran

    Rahmonlou Hossein

  4. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Ghorai Ganesh

  5. Department of Mathematics, Tijuana Institute of Technology, 610101, Tijuana, Mexico

    Castillo Oscar

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  1. S. Satham Hussain
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  2. N. Durga
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  3. Rahmonlou Hossein
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  4. Ghorai Ganesh
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  5. Castillo Oscar
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Correspondence to S. Satham Hussain.

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Hussain, S.S., Durga, N., Hossein, R. et al. New Concepts on Quadripartitioned Single-Valued Neutrosophic Graph with Real-Life Application. Int. J. Fuzzy Syst. 24, 1515–1529 (2022). https://doi.org/10.1007/s40815-021-01205-8

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  • DOI: https://doi.org/10.1007/s40815-021-01205-8

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