Algebraic Structures of m-polar Fuzzy Matrices
Ramakrishna Mankena1, T.V. Pradeep Kumar2, Ch. Ramprasad3, J. Vijaya Kumar4
1Ramakrishna Mankena, Research Scholar, Department of Mathematics, Acharya Nagarjuna University, Malla Reddy College of Engineering, Hyderabad, India.
2T.V. Pradeep Kumar, Department of Mathematics, University College of Engineering, Acharya Nagarjuna University, Nagarjuna Nagar, Hyderabad, India.
3Ch. Ramprasad, Department of Mathematics, Vasireddy Venkatadri Institute of Technology, Namburu, Andhra Pradesh, India.
4J. Vijaya Kumar, Department of Mathematics, Vasireddy Venkatadri Institute of Technology, Namburu, Andhra Pradesh, India.
Manuscript received on 6 August 2019. | Revised Manuscript received on 11 August 2019. | Manuscript published on 30 September 2019. | PP: 3025-3033 | Volume-8 Issue-3 September 2019 | Retrieval Number: C4855098319 /2019©BEIESP | DOI: 10.35940/ijrte.C4855.098319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Problems from real life situations related to multiple agents (n ≥ 5) and Big data are efficiently solved by Computational Mathematics using N-Dimensional Polar information. This information cannot be well-represented by means of fuzzy matrices or bipolar fuzzy matrices. Therefore, m- polar fuzzy matrix theory is applied to graphs to describe the relationships among several individuals. In this paper, some operations are defined to formulate these matrices. we proved the properties of m-polar fuzzy matrices by exploiting the binary operations ring sum ( ⊕ ) and ring subtraction ( Θ ). In addition to this we also extended various operations such as reflexive, irreflexive, maximum and minimum for the idea of m-polar fuzzy matrices.
Keywords- M-Polar Fuzzy Matrix, M-Polar Fuzzy Operators,
Reflexive, Irreflexive
Scope of the Article: Fuzzy Logics