【摘要】 本文指出了广义模糊数定义(Chen,Hsieh[50])的不合理性,重新定义了广义模糊数,并给出了广义模糊数的广义分解定理和广义表示定理。以此为基础,在广义模糊数集上引入了序、运算和距离,得出了它们的一些性质,初步建立了广义模糊数的基本理论。这些均以模糊数相应理论为特款,从而拓广了模糊数理论。更多还原

【Abstract】 In this paper,it is indicated that the popular definition of generalized fuzzy numbers is unreasonable.Then generalized fuzzy numbers are redefined,generalized decomposition theorems and generalized representation theorems are given.Based on these,the orders,operations and distances are introduced on the set of generalized fuzzy numbers,and some of their properties are obtained.The basic theory of generalized fuzzy numbers is built up.All of these made the corresponding theory of fuzzy numbers as special.Consequently,the theory of fuzzy numbers is extended.更多还原