A novel generalization of fuzzy subsemigroups
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The notion of $(\widetilde{\alpha},$ $\widetilde{\beta})$-fuzzy subsemigroups in semigroups is introduced, and related properties are investigated. Characterizations of $(\in,$ $\in\! \vee \, q^{\delta}_0)$-fuzzy subsemigroups are provided. Using a collection of subsemigroups with some conditions, an $(\in,$ $\in\! \vee \, q^{\delta}_0)$-fuzzy subsemigroup is constructed. An $(\in,$ $\in\! \vee \, q^{\delta}_0)$-fuzzy subsemigroup generated by the given fuzzy set with finite images is established.
Abstract
The notion of $(\widetilde{\alpha},$ $\widetilde{\beta})$-fuzzy subsemigroups in semigroups is introduced, and related properties are investigated. Characterizations of $(\in,$ $\in\! \vee \, q^{\delta}_0)$-fuzzy subsemigroups are provided. Using a collection of subsemigroups with some conditions, an $(\in,$ $\in\! \vee \, q^{\delta}_0)$-fuzzy subsemigroup is constructed. An $(\in,$ $\in\! \vee \, q^{\delta}_0)$-fuzzy subsemigroup generated by the given fuzzy set with finite images is established.
참고문헌 (13)
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