積分區(qū)間為模糊集的積分研究.pdf

1、海南師范大學(xué)碩士學(xué)位論文積分區(qū)間為模糊集的積分研究姓名：王強(qiáng)申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：馬生全2011-04IIAbstract Abstract Abstract AbstractIn this paper,The main contents is the intergration on the fuzzy sets, the divisionof fuzzy sets in Literature [37] is a g

2、ood breakthrough, through the establishment ofs-valued function, it gets some conclusions through the Further Discussion offuzzy-valued Integration and gives several classical integral inequalities of thefuzzy-valued int

3、egral form. With this idea, it is a continuation that the complex –valuefunction’s intergration on fuzzy set is established. we also discusses the division oftwo-dimensional fuzzy set, and the real value function’s inter

4、gration on thetwo-dimensional fuzzy sets. As distinction between the collection of fuzzy sets andthe classic membership, the establishment of two-dimensional product measure isfocus and difficulties.In this paper,we give

5、 the definition of two-dimensional productmeasure though the improved cartesian product, and lay the foundation for theestablishment of the multiple integral.Keywords： fuzzy set； the division of fuzzy sets； s-valued func