| Autor: |
Anandhkumar, M., Harikrishnan, T., Chithra, S. M., Kamalakannan, V., Kanimozhi, B. |
| Předmět: |
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| Zdroj: |
International Journal of Neutrosophic Science (IJNS); 2024, Vol. 23 Issue 2, p286-295, 10p |
| Abstrakt: |
In this article, First, we study the different orderings for k-idempotent Neutrosophic fuzzy matrices (NFM). With this idea, we also discover some properties for the k-Neutrosophic fuzzy matrices and demonstrate the connection between the generalized inverse and different orderings. We also go through some properties for the T-ordering, T-reverse ordering, minus, and space ordering in k-idempotent Neutrosophic fuzzy matrices using the g-inverses with numerical examples is given. Minus ordering is a partial ordering in the set of all regular fuzzy matrices. We have introduced ordering on k-idempotent fuzzy matrices and developed the theory of fuzzy matrix partial ordering. The minus ordering and k-space ordering are identical for k-idempotent matrices. Next, we introduce and study the concept of k-Idempotent Neutrosophic fuzzy matrix as a generalization of idempotent NFM via permutations. It is shown that a kidempotent NFM reduces to an idempotent NFM if and only if PK = KP. The Conditions for power symmetric NFM to be k-idempotent are derived and some related results are given. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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