A fuzzy distance discrimination method based on the principle of joint fuzzy expansion
A fuzzy and distance technology, applied in the field of fuzzy distance discrimination based on the principle of joint fuzzy expansion, can solve the problems of less research work in fuzzy discrimination analysis, achieve the effect of solving restrictive calculations, reducing experimental errors, and good feasibility
Active Publication Date: 2022-02-25
LIAONING TECHNICAL UNIVERSITY
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Problems solved by technology
Due to the ergodic problem in the calculation of fuzzy numbers, there are great limitations in fuzzy discriminant analysis, so there are few researches on fuzzy discriminant analysis at home and abroad.
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[0064] The specific implementation manners of the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. The following examples are used to illustrate the present invention, but are not intended to limit the scope of the present invention.
[0065] In this embodiment, taking records of a certain tea shop as an example, a fuzzy distance discrimination method based on the joint fuzzy expansion principle of the present invention is used to discriminate and classify the tea to be discriminated.
[0066] A fuzzy distance discrimination method based on the principle of joint fuzzy expansion, such as figure 1 shown, including the following steps:
[0067] Step 1. From two sample populations G 1 and G 2 Extract n from 1 and n 2 samples, each sample measures p indicators, and each indicator is fuzzy data;
[0068] The two sample populations G 1 ,G 2 As shown in the following two formulas:
[0069]
[0070] ...
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The invention provides a fuzzy distance discrimination method based on the joint fuzzy expansion principle, and relates to the technical field of fuzzy discrimination. This method first draws samples from two sample populations, each sample measures p indicators, and expresses the fuzzy number measured by each indicator of the sample as the linear form of the structural element E; then finds the sample to be tested to the two sample populations The fuzzy distance of each sample and the fuzzy covariance matrix and its kernel matrix of each sample, and judge the relationship between the kernel matrices, find the difference of the fuzzy distance and its discriminant function; finally formulate the fuzzy discriminant criterion according to the discriminant function, apply the fuzzy discriminant criterion to the test The samples are classified by fuzzy discriminant. The fuzzy distance discrimination method based on the principle of joint fuzzy expansion provided by the present invention applies classical statistical expansion to fuzzy statistics, and uses the structural element expression method using fuzzy numbers to solve the difficult problem of restrictive operation in the calculation process, greatly The reduced experimental error makes the experimental results more accurate.
Description
technical field [0001] The invention relates to the technical field of fuzzy discrimination, in particular to a fuzzy distance discrimination method based on the principle of joint fuzzy expansion. Background technique [0002] Statistical analysis is an important tool to analyze, process and solve the characteristics, laws and relationships of things in the field of natural and social sciences based on observational data. With the continuous development of information science and technology, statistical analysis methods and basic principles are increasingly used in In the field of data mining, its application background is getting wider and wider. However, in many practical problems, due to the diversity and heterogeneity of data sources, the difficulty or inaccuracy of information measurement, etc., it is meaningless to express data accurately. In addition, strictly speaking, any statistical sample is obtained through corresponding investigation or observation. Therefore,...
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IPC IPC(8): G06F17/18
CPCG06F17/18
Inventor 郭嗣琮赵小倩
Owner LIAONING TECHNICAL UNIVERSITY