Existence And Uniqueness Of Two Kinds Of Fuzzy Algebra

Content::The article begins with fuzzy subgroup, Resolution theorem andPresentation theorem, and introduces the definition and essential properties of fuzzyideal. It brings out the definition of anti fuzzy ideal, at the basis of previous study,and uses one section to prove in detail the most important properties of anti fuzzyideal: existence and uniqueness, and arrives at their sufficient and necessary condition.Further more, the article proves the existence and uniqueness conditions of convexfuzzy set in detail, develops others' work, and forms new system. All of these work,play a very important role in the development of fuzzy ideal definition, and discuss anew field for further research.