苏州工学院学报2026，Vol.40Issue(1)：71-83,13.
论元间数量单调性关系与量化算子右单调的计算
On Inter-Argument Numerical Monotonicity Relations and Computing Right Monotonicity of Quantifiers
摘要
Abstract
In Generalized Quantifier Logic,monotonicity refers to the entailment projection relationship between propositions.Right-monotonicity(RM)denotes the property that a quantifier indirectly affects the quantification of variables not bound by itself.This property is not determined solely by the quantifier;instead,it requires the quantitative monotonic relationship among arguments as a necessary condition and is achieved through the transitivity law.Different quantitative monotonic relationships among arguments lead to different right-monotonic behaviors in quantificational sentences:1)The quantitative relationships of Type I and Type II arguments are additive(upward entailing)and subtractive(downward entailing)respectively.With appropriate quantifiers,quantificational sentences containing these two types of arguments can achieve right-monotonicity,but the direction of right-monotonicity is exactly opposite when the same quantifier is used in sentences with the two types of arguments;2)When Type III arguments are included in quantificational sentences,they exhibit an equivalence entailment relationship;3)In quantificational sentences with Type IV arguments,right-monotonicity cannot be achieved regardless of the quantifier used.关键词
单调性/右单调/论元间数量单调性关系/传递律Key words
monotonicity/right-monotonicity/quantitative monotonic relationships among arguments/transitivity law分类
社会科学引用本文复制引用
陈振宇,黄颖,刘承峰..论元间数量单调性关系与量化算子右单调的计算[J].苏州工学院学报,2026,40(1):71-83,13.基金项目
国家社会科学基金重大项目"形式语义学的汉语研究与形式语义学理论创新"(22&ZD295) （22&ZD295）
国家社会科学基金后期资助项目"现代汉语量化范畴:基于语用数、间接量化和单调性理论的方案"(22FYB004) （22FYB004）
