Semi-t-operators and idempotent semi-t-operators on bounded lattices

Document Type : Research Paper

Authors

1 School of Mathematics, Shandong University, 250100 Jinan, PR China

2 School of Statistics, Shandong University of Finance and Economics, 250014 Jinan, PR China

Abstract

Recently, Fang and Hu introduced the definition of semi-t-operators on bounded lattices. In this study, we propose several construction methods to obtain such a semi-t-operator from a given semi-t-conorm and semi-t-norm on bounded lattices. Furthermore, we discuss the presence of idempotent semi-t-operators on bounded lattices, and show several different methods for construction of idempotent semi-t-operators on bounded lattices with additional constraints.

Keywords