A new type of fuzzy semiprime subsets in ordered semigroups

摘要

The concept of an (is an element of, is an element of for all(k*, q(k)))-fuzzy semiprime subset in an ordered semigroup is introduced, and investigate the properties of (is an element of,is an element of for all(k*, q(k)))-fuzzy generalized bi-ideals by concerning the (is an element of, is an element of for all(k*, q(k)))-fuzzy semiprime subsets. Moreover, some properties of (is an element of, is an element of for all(k*, qk))-fuzzy semiprime subsets are defined in terms of its (k*, k)-lower part. Finally, completely regular ordered semigroups are characterized in terms of its (is an element of, is an element of for all(k*, q(k)))-fuzzy semiprime generalized bi-ideals and their (k*, k)-lower parts.