(2208-7557) On linearly ordered index sets for ordinal sums in the sense of A. H. Clifford yielding uninorms

Document Type : Research Paper


1 School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan 250014, China

2 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.