A New Approach to Triangle Recognition

• 1、Science of School,Liaoning Technical University,Liaoning Fuxin 123000

Abstract：In order to solve the problem of traditional triangle recognition and other improved methods, because of the continuity of membership degree of membership function, the triangle to be identified clearly does not meet the membership conditions of all kinds of triangles, but there is no "false" membership degree, which is totally inconsistent with the actual situation.In this paper, triangles are classified and stratified, and membership functions are segmented to determine whether they conform to the ambiguity range, and then to eliminate unreasonable membership.Regarding all kinds of triangles as special cases that meet specific conditions, from complexity to simplicity, we screen regular triangles, isosceles right triangles, isosceles triangles, right triangles and atypical triangles step by step, determine their ambiguity range and determine the types of triangles to be identified by combining the principle of maximum membership degree.The results show that the membership degree of all kinds of triangles obtained by the improved method conforms to common sense, and effectively solves the problem of "false membership degree", which has certain reference value and guiding significance for the fuzzy recognition of various patterns.

Keywords： Hierarchical and piecewise membership functions Maximum membership Fuzzy range Fuzziness