Document Type : Research Paper
School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan 250014, China
School of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China
This paper focuses on the topic of ordinal sums of semigroups in the sense of A. H. Clifford -- a method for constructing a new semigroup from a given system of semigroups indexed by a linearly ordered index set. We completely describe the linearly ordered index set for an ordinal sum of semigroups yielding a uninorm.