On K-idempotent Neutrosophic Z - Matrices and Computation Methods in Decision Making

  • Authors

    • P. Sheeba Maybell Department of Mathematics, Karpagam Academy of Higher Education, Coimbatore, Tamil Nadu, India
    • M.M. Shanmugapriya Department of Mathematics, Karpagam Academy of Higher Education, Coimbatore, Tamil Nadu, India
    https://doi.org/10.14419/h97d9g17

    Received date: May 2, 2025

    Accepted date: May 31, 2025

    Published date: July 8, 2025

  • Neutrosophic Z-matrices; k- idempotent NZM; T-ordering NZM; Correlation Measures

  • Abstract

    In this work, k-idempotent neutrosophic z-matrices (NZM) are constructed where k is a fixed product of disjoint transpositions in the symmetric group of order n. Some characteristics and properties of k-idempotent NZM with T-ordering of k-idempotent NZM are discussed. The idea of a k–idempotent neutrosophic z-matrix, which is a generalization of idempotent NZM via permutations, is examined. It is shown that a k-idempotent NZM reduces to an idempotent NZM if and only if k=k  Some related results are provided, together with the derivation of the square symmetric and cube symmetric NZM of k-idempotent conditions. The correlation measure of neutrosophic fuzzy matrices and intuitionistic fuzzy matrices is extended by the notion of this correlation measure of neutrosophic z-matrices. To improve the recommendation performance, we examined the performance of several calculation methods by comparing correlation and the usual procedure. Finally, we compute an experimental result where correlation values can be evaluated and compared to the results of the other methodology.

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  • How to Cite

    Maybell , P. S. ., & Shanmugapriya , M. . (2025). On K-idempotent Neutrosophic Z - Matrices and Computation Methods in Decision Making. International Journal of Basic and Applied Sciences, 14(SI-1), 42-54. https://doi.org/10.14419/h97d9g17