5 citations · 7 across the 9 of their papers we have counts for
9 papers
Constructing left-continuous triangular norms on complete lattices
Peng He, Xue-ping Wang
This article focuses on the construction of left-continuous t-norms on complete lattices. The concepts of -mappings and weak -mappings on complete latti…
Left-continuous pseudo-t-norms on modular lattices
Peng He, Xue-ping Wang
This article focuses on the relationship between pseudo-t-norms and the structure of lattices. First, we establish a necessary and sufficient condition for the existence of a left-…
Triangular norms on finite lattices
Peng He, Xue-Ping Wang
This article intends to characterize triangular norms on a finite lattice. We first give a method for generating a triangular norm on an atomistic lattice by the values of atoms. T…
The pseudocomplementedness of modular lattices described by two 0-sublattices
Peng He, Xue-ping Wang
In this article, we first characterize pseudocomplemented inductive modular lattices by using their two 0-sublattices. Then we use two 0-sublattices of a subgroup lattice to descri…
The best extending cover-preserving geometric lattices of semimodular lattices
Peng He, Xue-ping Wang
In 2010, Gábor Czédli and E. Tamás Schmidt mentioned that the best cover-preserving embedding of a given semimodular lattice is not known yet [A cover-preserving embedding of semim…
Structures of lattices which can be represented as the collection of all up-sets
Peng He, Xue-ping Wang
This paper first gives a necessary and sufficient condition that a lattice can be represented as the collection of all up-sets of a poset. Applying the condition, it obtains a…
Conditions that the quotient of -fuzzy up-sets forms a complete lattice
Peng He, Xue-ping Wang
This paper deals with conditions under which the quotient of -fuzzy up-sets forms a complete lattice by using terminologies of closure operators. It first gives a condition that…
On the uniqueness of -fuzzy sets in the representation of families of sets
Peng He, Xue-ping Wang
This paper deals with the uniqueness of -fuzzy sets in the representation of a given family of subsets of nonempty set. It first shows a formula of the number of -fuzzy sets…
Finite atomic lattices and their monomial ideals
Peng He, Xue-ping Wang
This paper primarily studies monomial ideals by their associated lcm-lattices. It first introduces notions of weak coordinatizations of finite atomic lattices which have weaker hyp…