With the deep research of complicated problem , how to deal with various uncertainties and evolution has been a critical problem for further development of ai . most researchers put forward all kinds of propositional logic to satisfy application such as classical propositional logic , three - value logic , fuzzy logic etc . in the logic the value of proposition is continuous variety 随着对复杂性问题研究的深入，经典的二值逻辑已经不能解决现实社会中的所有问题，因此人们提出了各种“非标准逻辑”和“现代逻辑” ，例如三值逻辑、多值逻辑、模糊逻辑和概率逻辑等。
It extends linear valuation field of many - valued logic to a more general lattice , thus can deal with both order and non - order information , such as non - comparable information , consequently describe the uncertainty of human reasoning , judging and decision - making more effectively . in the view of logic , reasoning is the use of knowledge and logic deduction 格值逻辑把多值逻辑的链型真值域拓广到较一般的格上，既能处理全序信息，又能处理不可比的信息，从而可以更有效地刻画人类的推理、判断和决策的不确定性，尤其是对真值不完全可比较性的研究，能够更真实地刻画人类的思维活动。
Hence , the advantage of mtn over stn was shown with the facts that the nns need fewer neurons by using mtns than by using stns . in addition , the literal , and , or operation as three basic operations in ternary logic were separately implemented by single mtn . with these basic mtns , arbitrary ternary function can be achieved by nns 利用这一方法，用一个多阈值神经元即实现了需三个单阈值神经元方能实现的异或运算，由此大幅减少了神经元个数；用一个多阈值神经元分别实现了三值逻辑中的文字、与、或三种基本运算，由这三种基本运算的多阈值神经元，可组成实现任意三值函数的多阈值神经元网络，由于提高了单个神经元信息处理的能力，使神经网络可实现复杂的多值逻辑，性能得以提高。
In multiple - valued logic theory , completeness theory of function sets is an important and fundamental problem , it is also the problem which must be solved in automata theory and multiple - valued logic network . the solution of this problem depends on determining all the precomplete classes in multiple - valued logic function sets 函数系的完备性判定问题是多值逻辑理论中基本而重要的问题，同时也是自动机理论，多值逻辑网络中必须解决的问题，此问题的解决依赖于定出多值逻辑函数集中的所有极大封闭集(准完备集) 。
Lattice - valued logic system based on lattice extends linear valued field of multi - valued logic to lattice , thus not only can deal with order information , but also can deal with non - order information , consequently describe the uncertainty of human reasoning , judging and decision - making more effectively 而建立在格上的格值逻辑系统把已有多值逻辑的链状真值域拓展到较一般的格上，既能处理全序性信息，又能处理非全序性信息，从而更有效地描述人类推理、判断和决策的不确定性。
