Construction of interval hesitant fuzzy graph decision-making method considering relevance and priority relationship

Abstract

The invention discloses the construction of an interval hesitant fuzzy graph decision-making method considering relevance and a priority relationship, wherein model establishment and model calculationresearch of the interval hesitant fuzzy graph multi-attribute decision-making method considering relevance and priority relation are included, the interval hesitant fuzzy graph of relevance between attributes is described by inputting an interval hesitant fuzzy decision-making matrix and a linear priority relation between the attributes, and an optimal alternative scheme is outputted. The specific calculation comprises the steps of calculating an interval hesitant fuzzy information energy coefficient psi ij between the attributes ai and aj with relevance of an alternative decision scheme; calculating an attribute weight omega j by using the linear priority relationship among the attributes; and calculating the overall attribute value of the alternative decision-making scheme pk (k = 1, 2,..., m), and calculating the score value of the overall attribute value corresponding to the alternative decision-making scheme pk to determine the optimal alternative decision-making scheme. According to the present invention, by utilizing the characteristics and the advantages of the interval hesitant fuzzy graph, an effective solution is provided for a complex uncertain multi-attribute decisionproblem with relevance and the priority relationship.

Description

technical field [0001] The invention relates to the technical field of multi-attribute decision-making methods, in particular to the construction of an interval hesitant fuzzy graph decision-making method considering relevance and priority relationship. Background technique [0002] As an important branch of modern decision-making science, multi-attribute decision-making aims to analyze a limited number of schemes from the perspective of multiple attributes, and then make a choice of alternative schemes through information integration. Its theories and methods have been widely used in many field, which has strongly promoted the development of social economy. Due to the uncertainty of decision-makers' cognition and the increasing complexity of decision-making problems, it is difficult for decision-makers to process decision-making information accurately. Since Zadeh put forward fuzzy set theory, fuzzy multi-attribute decision-making problem has become an important direction ...

AI Technical Summary

Problems solved by technology

[0006] However, in the hesitant fuzzy background, there are still relatively few researches on multi-attribute decision-making methods for both relevance and priority relationships between attributes, and interval hesitant fuzzy multi-attribute decision-making problems with both relevance and priority relationships between attributes are common in reality.

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