Title of article :
Semi-t-operators and idempotent semi-t-operators on bounded lattices
Author/Authors :
Wang, Y. M. School of Mathematics - Shandong University, Jinan, PR China , Li, Z. B. School of Statistics - Shandong University of Finance and Economics, Jinan, PR China , Liu, H. W. School of Mathematics - Shandong University, 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 :
Semi-t-operators , bounded lattices , idempotent semi-t-operators
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
