# A generalization of $$(\in, \in \vee q)$$-fuzzy subgroups

• Young Bae Jun Gyeongsang National University
• Mehmet Ali Öztürk Adıyaman University
• G. Muhiuddin University of Tabuk

### Abstract

More general form of "quasi-coincident with' relation  $$(q)$$ is introduced, and related properties are investigated. The notions of $$(\in, \in\vee, q^{\delta}_0)$$-fuzzy subgroups, $$q^{\delta}_0$$-level sets and $$\in\vee, q^{\delta}_0$$-level sets are introduced, and related results are investigated. Relations between an $$(\in, \in)$$-fuzzy subgroup and an $$(\in, \in\vee, q^{\delta}_0)$$-fuzzy subgroup are discussed, and characterizations of $$(\in, \in\vee, q^{\delta}_0)$$-fuzzy subgroups are displayed by using level sets and $$\in\vee, q^{\delta}_0$$-level sets. The concepts of $$\in\vee, q^{\delta}_0$$-admissible fuzzy sets, admissible $$(\in, \in\vee, q^{\delta}_0)$$-fuzzy subgroups and $$\delta$$-characteristic fuzzy sets are introduced. Using these notions, characterizations of admissible $$(\in,\in\vee, q^{\delta}_0)$$-fuzzy subgroups and admissible subgroups are considered.

### Metrics

Jun, Y. B., Öztürk, M. A., & Muhiuddin, G. (2016). A generalization of $$(\in, \in \vee q)$$-fuzzy subgroups. International Journal of Algebra and Statistics, 5(1), 7–18. https://doi.org/10.20454/ijas.2016.1041