【摘要】 在K Atanassov引进直觉模糊集概念的基础上,首先给出了直觉模糊正规子群的定义及直觉模糊集的扩展原理,并获得一些基本运算性质;其次在两个经典群同态与同构意义下,研究了这种直觉模糊正规子群的像、原像及逆映射等问题,从而丰富并拓广了模糊集的理论与应用.更多还原

【Abstract】 On the basis of the concept of the intuitionistic fuzzy sets introduced by K.Atanassov,it first gives the definition of the intuitionistic fuzzy normal subgroups and extension principle with respect to the intuitionistic fuzzy sets,and obtain some basic operation properties.Second,in the sense of homomorphism and ismorphism between two classical groups,study the image original image and the inverse mapping etc.of this kind of intuitionistic fuzzy normal subgroups.Consequently,they enrich and generalize the theory and applications of fuzzy sets.更多还原