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Multi-criterion decision-making method for hesitant fuzzy language term set

A technology of fuzzy language and decision-making methods, applied in semantic analysis, complex mathematical operations, etc., can solve problems such as inapplicability and unreasonable calculation results, and achieve the goal of overcoming inapplicability, enhancing practicability and effectiveness, and the method is simple and easy Effect

Pending Publication Date: 2022-03-22
HARBIN ENG UNIV
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Problems solved by technology

[0004] Aiming at the unreasonable calculation results in the existing HFLTS distance measurement and the inapplicability in the situation of multi-granularity imbalance, the technical problem to be solved by the present invention is to provide a multi-criteria decision-making method for hesitant fuzzy language term sets based on semantic interval distance, Can be effectively applied in the case of multi-grain imbalance

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  • Multi-criterion decision-making method for hesitant fuzzy language term set
  • Multi-criterion decision-making method for hesitant fuzzy language term set
  • Multi-criterion decision-making method for hesitant fuzzy language term set

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Embodiment Construction

[0059] The present invention will be further described below in conjunction with the accompanying drawings and embodiments of the specification.

[0060] to combine figure 1 , the present invention comprises the following steps:

[0061] (1) Determine the evaluation index system and obtain the evaluation matrix;

[0062] For an MCDM problem based on language information representation: Suppose there are r experts E k (k=1,2,...,r) according to n criteria C j (j=1,2,...,n) to m alternatives A i (i=1,2,...,m) for evaluation, each expert E k The corresponding weight is λ k (k=1,2,...,r) and The language information evaluation matrix of each expert is expressed as:

[0063] in Denotes expert E k In Criterion C j The next pair of plan A i language information assessment. The language weight vector of each expert for each criterion is expressed as in Denotes expert E k For Criterion C j language assessment.

[0064] (2) will evaluate the matrix X k and langua...

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Abstract

The invention discloses a hesitant fuzzy language term set multi-criterion decision-making method, which comprises the steps of determining an evaluation index system and obtaining an evaluation matrix; converting the evaluation matrix Xk and the language weight vector Wk into semantic interval representation; determining a subjective importance coefficient of each expert to the criterion; determining an objective importance coefficient of each expert to the criterion; constructing positive and negative ideal solution matrixes S + and S-of fuzzy language terms; constructing positive and negative ideal deviation matrixes D + and D-; constructing a relative proximity matrix Rc; aggregating the opinions of each expert to obtain the comprehensive relative proximity of the scheme; and according to the comprehensive relative closeness ranking, determining an optimal scheme. The method can be effectively applied under the condition of multi-granularity imbalance. The method is simple and easy to implement, subjective and objective importance coefficients of evaluation criteria are integrated, the decision making process is more practical, and therefore a more reasonable decision making result is obtained.

Description

technical field [0001] The invention belongs to the technical field of multi-criteria decision-making, and relates to a multi-criteria decision-making method for a hesitant fuzzy language term set, in particular to a multi-criteria decision-making method for a hesitant fuzzy language term set based on semantic interval distance. Background technique [0002] Multi-criteria decision-making is widely involved in various aspects of social life such as economic management, medical and health care, etc. In view of the uncertainties in many real decision-making situations that are difficult to express quantitatively, the introduction of language variables improves the flexibility and reliability of the decision-making model. It is widely used in the field of multi-criteria decision making (MCDM). When the decision-maker evaluates the scheme, it may be hesitant among multiple terms and it is difficult to give a definite evaluation of language terms. Rodriguez et al. proposed the co...

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Application Information

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IPC IPC(8): G06F40/30G06F17/15G06F17/16
CPCG06F40/30G06F17/15G06F17/16
Inventor 赵玉新姜南贾韧锋邓雄周迪何永旭朱可心吴昌哲
Owner HARBIN ENG UNIV
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