Application of mathematical constraint resolution to decision support system

F.-T. Lin, J.-Y. Juang, D.-T. Lee
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引用次数: 3

Abstract

It is shown how a mathematical constraint resolution (MATHCORE) system can be used to design a better decision support system. MATHCORE not only has the flexibility of expressing mathematical equations within a logic programming paradigm in a natural way, but also has an ability to deal with systems of nonlinear equations, regression analysis, and optimization problems. While most existing constraint logic programming systems try to devise their own constraint solvers and are confined to systems of linear equations and simple nonlinear functions, the MATHCORE removes this limitation by directly taking advantage of well-developed numerical methods available in the mathematical libraries. With MATHCORE, complex decision optimization models can be embedded in a rule-based decision support system. Using this methodology, it is demonstrated that the interactions among various economic factors in a housing market can be stated in the program body, while various (optimization) goals of social welfare can be expressed as queries.<>
数学约束解析在决策支持系统中的应用
它展示了如何使用数学约束解析(MATHCORE)系统来设计更好的决策支持系统。MATHCORE不仅具有在逻辑编程范例中以自然的方式表达数学方程的灵活性,而且还具有处理非线性方程系统、回归分析和优化问题的能力。虽然大多数现有的约束逻辑编程系统都试图设计自己的约束求解器,并且仅限于线性方程和简单的非线性函数系统,但MATHCORE通过直接利用数学库中可用的成熟的数值方法消除了这一限制。使用MATHCORE,可以将复杂的决策优化模型嵌入到基于规则的决策支持系统中。使用这种方法,可以证明住房市场中各种经济因素之间的相互作用可以在程序体中陈述,而社会福利的各种(优化)目标可以表示为查询。
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