Abstract
In this paper, we apply the concept of fuzzy bipolar soft sets to ordered semigroup theory, and investigate characterizations of regular, left (right) regular, intra-regular, regular and intra-regular, left (right) weakly regular and semisimple ordered semigroups by the properties of their fuzzy bipolar soft (left, right) ideals. We also introducefuzzy bipolar soft (left, right) duo ordered semigroups, and examine their properties. Moreover, the idea of fuzzy bipolar soft ideal extensions in ordered semigroup theory is initiated and (left, right, intra-) regular ordered semigroups are studied in terms of fuzzy bipolar soft ideal extensions.
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