模糊圆理论介绍与探讨

Introduction and Discussion of Fuzzy Circle Theory

模糊圆理论是美国Ｃｒｅｉｇｈｔｅｎ大学教授Ｓｈｉｈ－ｑｕａｎＣｈｅｎ来我院短期讲学期间提出的一种新理论．该理论基于模糊数学和传统集合论的观点，对二维平面上的简单闭合曲线图进行研究，提出了模糊圆的概念及相关定义，给出了相关定理及证明．本文对这一理论的主要内容作概要介绍，并针对理论中的某些问题提出笔者的观点及修改结果．

Fuzzy circle theory was proposed by professor Shih quan Chen of Creighton University in America. In the theory, simple closed curves on xy - plane are studied based on fuzzy mathematics and classical set theory,the new concept of fuzzy circle and some coherent definitions are proposed,theorems are proofed. The paper gives a brief introduction to the theory,discusses some existing problems in the theory and gives some modified results.