On Characteristics of \(\omega\)-Anti-Q-Fuzzy Subgroups

Authors

  • Premkumar Munusamy Department of Mathematics, Sathyabama Institute of Science and Technology (Deemed to Be University) Chennai-600119, Tamil Nadu, India. https://orcid.org/0000-0002-8637-063X
  • V. Rathinakumar Department of Mathematics, PPG College of Arts and Science, Coimbatore, Tamil Nadu, India.
  • R. Suganya Department of Mathematics, M.A.M.B. School, Siruganur Trichy-621105, Tamil Nadu, India.
  • K. Kiruthika Department of Mathematics, K.S. Rangasamy College of Technology, Tiruchengode-637215, India.
  • M. Venkatachalam Department of Mathematics, Erode Sengunthar Engineering College, Perundurai, Erode, Tamil Nadu, India.
  • P. Shanmugavel Department of Mathematics, Selvamm Arts and Science College (Autonomous), Namakkal, Tamil Nadu, India.

DOI:

https://doi.org/10.9734/bpi/mcsru/v4/802

Keywords:

Anti-Q-fuzzy subgroup (anti-QFS), anti-Q-fuzzy normal subgroup (anti-QFNS), \(\omega\)-anti-Q-fuzzy subgroup (\(\omega\)-anti-QFS), \(\omega\)-anti-Q-fuzzy normal subgroup (\(\omega\)-anti-QFNS)

Abstract

On the aspect of fuzzy sets by L. A Zadeh, we first defined the definition of \(\omega\)-anti-Q- fuzzy set and then explain the idea of \(\omega\)-anti-Q-fuzzy subgroup. We also innovate the \(\omega\)-Q-fuzzy normal subgroup and quotient group with respect to \(\omega\)-anti-Q-fuzzy normal subgroup and constitute their several algebraic properties.

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Published

2025-03-25

How to Cite

Premkumar Munusamy, V. Rathinakumar, R. Suganya, K. Kiruthika, M. Venkatachalam, & P. Shanmugavel. (2025). On Characteristics of \(\omega\)-Anti-Q-Fuzzy Subgroups. Mathematics and Computer Science: Research Updates Vol. 4, 1–13. https://doi.org/10.9734/bpi/mcsru/v4/802

Issue

Mathematics and Computer Science: Research Updates Vol. 4

Section

Chapters