将模糊软集概念及其相关运算应用于FI代数的研究,引入了模糊软FI代数的概念,给出了它的若干代数性质。定义了FI代数间的模糊软FI-同态概念,证明了一个模糊软FI代数在模糊软FI-同态下的像与原像仍为模糊软FI代数的结论。
In this paper, we shall study FI-algebras theory by applying the concept and its related operations of fuzzy soft sets. The notion of fuzzy soft FI-algebras is introduced, Some their algebraic properties are discussed. The concept of fuzzy soft FI-homomorphism between two FI-algebras is defined, it is proved that the fuzzy soft FI-homomorphism image and inverse image of a fuzzy soft FI-algebra are also fuzzy soft FI-algebras.