A new formula of fuzzy nearness and its application

Science of School,Liaoning Technical University,Fuxin 12300

Abstract： The degree of fuzzy closeness is an important index which describes the similarity or proximity of two fuzzy sets. In order to solve the problem of gradient disappearance in some cases, in this paper, a new formula of fuzzy nearness is put forward in view of the shortcomings of Hamming and other operators. Then, the new operator is evaluated with its application. Through theoretical analysis and example verification, it is proved that the new operator has the advantages that other operators do not possess and it has a better resolution on the whole. the new operator overcomes the shortcomings of commonly used operators and has a good application prospect.

Keywords： fuzzy sets fuzzy nearness resolution t-nearness degree