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

Document Type : Research Paper

Authors

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

10.22111/ijfs.2022.7247

Abstract

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.

Keywords