Super Rhotrix Driven Multi-criteria Decision Making
Keywords:
Rhotrix, Super Rhotrix, Decision making, Supplier selectionAbstract
This study introduces the theoretical conceptualization of Super Rhotrix and its applications in multi-criteria decision making. The properties, operations and classifications of Super Rhotrix are discoursed in this work. The geometrical interpretation of the structures of rhotrix and super rhotrix are described in the context of applications to decision-making. The rigidity and compatibility of super rhotrix is well -substantiated and demonstrated with the illustration of supplier selection problem. The merits and limitations of the proposed decision-making approach is also discussed.
References
[1] Ajibade, A. O. (2003). The Concept of Rhotrix for Mathematical Enrichment. International Journal of Mathematical Education in Science and Technology, Vol 34, Pp. 175-179.
[2] Sani,B.(2004). An alternative method for multiplication of rhotrices, International Journal of Mathematical Education in Science and Technology, 35(5):777-781.
[3] Mohammed, A., & Sani, B. (2011). On construction of rhomtrees as graphical representation of rhotrices. Notes on Number Theory and Discrete Mathematics, 17(1), 21-29.
[4] Mohammed, A., & Balarabe, M. (2014). First review of articles on rhotrix theory since its inception. Advances in Linear Algebra & Matrix Theory, 4(04), 216.
[5] Sharma, P. L., & Kumar, S. (2014). Some applications of Hadamard rhotrices to design balanced incomplete block. International J. of Math. Sci. & Engg. Appls, 8, 389-404.
[6] Usaini, S., & Mohammed, L. (2014). On the rhotrix eigenvalues and eigenvectors. Afrika Matematika, 25(1), 223-235.
[7] Mohammed, A. (2014). A new expression for rhotrix. Advances in Linear Algebra & Matrix Theory, 2014.
[8] Sharma, P. L., Kumar, S., & Rehan, M. (2014). On construction of Hadamard codes using Hadamard rhotrices. International Journal of Theoretical & Applied Sciences, 6(1), 102-111.
[9] Kumar, S. (2016). Extension of Hill cipher using rhotrices. Survival.
[10] Sharma, P. L., Kumar, S., & Rehan, M. (2015). On factorization of a special type of vandermonde rhotrix. Applications and Applied Mathematics: An International Journal (AAM), 10(1), 25.
[11] Kaurangini, M. L., & Aminu, M. (2016). Hermitian and Skew-Hermitian Rhotrices. Journal of the Nigerian Association of Mathematical Physics, 34, 65-68.
[12] Anuradha, R., & Kaladevi, V. Mathematical Model for solving a Coupled Linear Programming Problem by using the concept of Rhotrix. International Journal of Applied Engineering Research, 11(1), 2016.
[13] Isere, A. O. (2016). Natural rhotrix. Cogent Mathematics, 3(1), 1246074.
[14] Mohammed, A. (2018). The non-commutative full rhotrix ring and its subrings. Science World Journal, 13(2), 24-36.
[15] Kavitha, G., Manish, D., & Krithika, S. (2020). Interval Valued Markov Integrated Rhotrix Optimization Using Genetic Algorithm for Predictive Modeling in Weather Forecasting. In Software Engineering Perspectives in Intelligent Systems: Proceedings of 4th Computational Methods in Systems and Software 2020, Vol. 2 4 (pp. 264-277). Springer International Publishing
[16] Verma, S., Kumar, P., Yadav, K. K., Varma, M., & Singh, A. K. (2023). Rhotrix and its application in construction of balance incomplete block design.
[17] Ananda Priya B, Gnanachandra P, Seenivasan M, (2023).Classification of the Commutative General Rhotrix Group: An Algebraic Approach, 6th International Conference on Mathematical Modelling, Applied Analysis and Computation.
[18] Aminu, A. A. M. (2016). An Introduction to the Theory of Fuzzy Rhotrix. Journal of the Nigerian Association of Mathematical Physics, 34, 69-76.
[19] Ananda Priya , Gnanachandra P, Jafari, S., & Smarandache, F. (2024). Neutrosophic Rhotrices for Improved Diagnostic Accuracy through Score Rhotrix Computation. Neutrosophic Sets and Systems, 73(1), 58.
[20] Priya, R., Martin, N., & Smarandache, F. (2025). Neutrosophic Linguistic Rhotrix in Managerial Decision Making. Infinite Study.
[21] Sathya,P. and Martin,N. (2025). Multi-Trait Decision Support in Industry Using Plithogenic Rhotrix. (e227664). International Journal of Research in Industrial Engineering, (), e227664 doi: 10.22105/riej.2025.530322.1616
[22] Huber, F., Fischer, M., & Herrmann, A. (2000). Supermatrix-Analysis as a Method of Measuring Interdependent Relative Importance Weights in Customer Satisfaction Research. Advances in Consumer Research, 27(1).
[23] Herrmann, A. K., Huber, F., & Schellhase, R. (2014, December). Using the Analytic Hierarchy Process and the Supermatrix Analysis to Determine the Relative Importance of Service Attributes. In Proceedings of the 1999 Academy of Marketing Science (AMS) Annual Conference (pp. 314-319). Cham: Springer International Publishing.
[24] Cooper, O., & Liu, G. Solutions for a Disjoint Supermatrix in ANP Decision Models.
[25] Shah, S., Tewary, R., Sahni, M., Sahni, R., Leon Castro, E., & Merigo Lindahl, J. (2023). Study of intuitionistic fuzzy super matrices and its application in decision making. Mathematics and Statistics.
