Abstract
In this paper, we introduce new types of fuzzy (m, n)-ideals in ordered semigroups. In fact, the notion of (is an element of, is an element of boolean OR(kappa*, q(kappa)))-fuzzy (m, n)-ideals of the ordered semigroups is introduced. Further, we present the characterzations of this notion in different ways. Then the (kappa*,kappa)-lower part of the (is an element of,is an element of boolean OR(kappa*, q(kappa)))-fuzzy (m, n)-ideals is defined and its associated properties are investigated. After that, (m, n)-regular ordered semigroups are characterized in terms of its (is an element of,is an element of boolean OR(kappa*, q(kappa)))fuzzy (m, n)-ideals and their (kappa*, kappa)-lower parts.