Fuzzy Number Of The Nature Of Its Application

The real number theory is the foundation of classic analytics, the same as fuzzy number theory that is one of the most basic and the most important concepts in the fuzzy analytics. is the foundation of the fuzzy analytics .In 1972, Zadeh, the founder of fuzzy mathematics, wrote a paper named "On fuzzy mapping and control" with Chang S.S.L. In this paper, they called a race of fuzzy sets which had some special properties in real number sets. Then, D.Dubois and H.Prade studied the properties of the system of fuzzy number, specially considered to establish the differential system of fuzzy number. Many scholars contacted the system of fuzzy number with interval number analysis, and set valued maps, so the systematic fuzzy number theory formed, but there are many valued problems that we should discuss.In this paper, we mainly studied the ranking of fuzzy number, distance of fuzzy number and the application of fuzzy number used in comprehensive evaluation.In chapter three, based on evaluation, according to studying the concepts of evaluation quasi-order and evaluation partial order and evaluation order, we got some properties of interval number and evaluation order relations.In chapter four, we gave the definition of the distance of fuzzy number, and discussed some properties of the distance of fuzzy number.In chapter five, we applied fuzzy number to comprehensive evaluation and gave a new model of comprehensive evaluation based on fuzzy number theory , we also gave the steps of this model according to example.