The Monotonicity of the 0-level Universal Conjunction Model
Luo Min-xia · Mohu xitong yu shuxue · 2008
The model of 0-level universal conjunction is a norm hierarchy.In this paper,we discuss monotonicity of the model of 0-level universal conjunction.It is proved that T(x,y,h)(h∈) is monotonically increasing for h.Moreover,we discuss monotoneity of Hamacher t-norm hierarchy.We show that Hamacher t-norm hierarchy THamacher(λ)(x,y) is monotonically decreasing for λ and TL(x,y)≤TEinstein(x,y)≤THamacher(λ)(x,y)≤TP(x,y).