Image blurring multi-attribute decision-making method based on bidirectional projection

Abstract

The invention discloses an image blurring multi-attribute decision-making method based on bidirectional projection. The image blurring multi-attribute decision-making method includes the steps: basedon a TOPSIS method, constructing an image fuzzy relative closeness formula based on bidirectional projection; in a multi-attribute decision problem, constructing an image fuzzy weight absolute regularprojection model and an image fuzzy absolute closeness formula based on bidirectional projection by considering the relationship between the scheme and an image fuzzy absolute positive ideal solutionand the relationship between the scheme and an image fuzzy absolute negative ideal solution; fusing the image blurring relative closeness formula and the image blurring absolute closeness formula based on bidirectional projection, and establishing an image blurring comprehensive closeness formula; and finally, sequencing the advantages and disadvantages of the scheme set by utilizing the values of the image fuzzy comprehensive closeness degrees of the schemes, and determining the scheme with the maximum image fuzzy comprehensive closeness degree as the optimal scheme, thereby realizing accurate analysis and decision.

Description

technical field [0001] The invention relates to the technical field of decision-making, and more specifically relates to a two-way projection-based image fuzzy multi-attribute decision-making method. Background technique [0002] At present, the research on multi-attribute decision-making problems has always been the direction of people's attention. Multi-attribute decision-making is an important part of the decision-making system. Under the consideration of various interrelated factors, from a limited number of alternatives , to select a solution that satisfies the decision maker. [0003] However, due to the uncertainty and ambiguity of people's thinking and the limited decision-making information they have, it is difficult for people to make accurate decisions for complex decision-making problems in reality. Combining the knowledge of fuzzy mathematics, people introduce fuzzy sets into decision-making problems to expand and supplement decision-making theory. Intuitionis...

AI Technical Summary

Problems solved by technology

The projection model on the image fuzzy set is initially established based on the cosine value of the angle between the attribute value vector of the alternatives in the decision problem and the image fuzzy ideal point, but there are certain limitations in the decision problem

In order to solve these limitations, the image blur regular projection model is proposed, and it is found that the essence of the image blur regular projection model is composed of the alternative scheme and the image blur absolute ideal solution The resulting vector is in the relative positive ideal solution of image blur and the absolute ideal solution of image blur The projection on the formed vector, however, this method only considers the relationship between the alternatives and the positive ideal point, ignoring the relationship with the negative ideal point, so when the projection values ​​of different alternatives are equal, it is impossible to judge their Priority order

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