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Muti-attribute Decision-making Based On The Model Of Intuitionistic Fuzzy Rough Set

Posted on:2018-08-08Degree:MasterType:Thesis
Country:ChinaCandidate:L L ChenFull Text:PDF
GTID:2310330512479716Subject:Mathematics
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Fuzzy decision-making is an important part of decision-making.With the development of society and the diversification of information and the fuzzy uncertainty of data,fuzzy decision has become the mainstream of research.It has been widely used in medical diagnosis,artificial intelligence,information processing and other fields.In this paper,the multiple attribute decision-making based on intuitionistic fuzzy rough set models are studied,two kinds of multiple attribute decision-making method based on intuitionistic fuzzy rough set model have been proposed.On the one hand,multiple attribute decision making method of similarity of intuitionistic fuzzy rough sets has been improved,The hesitancy degree of the original similarity relation of intuitionistic fuzzy rough sets' has been refinemented,the approximate membership degree and approximation non membership degree corresponds to the approximate hesitancy degree has been proposed;Lower approximate membership degree and lower approximation non membership corresponds to the lower approximate hesitancy degree has been raised,the scope of consideration has been expanded.The similarity between two intuitionistic fuzzy rough sets of the relation is more accurate and effective.On the other hand,the multiple attribute decision making based on the intuitionistic fuzzy rough set model under the equivalence relation.Under the equivalence relation,the model has one property:the intuitionistic fuzzy rough set of this relation is equivalent to the intuitionistic fuzzy set.Therefore,the relationship between intuitionistic fuzzy rough set multiple attribute decision into intuitionistic fuzzy set multiple attribute decision making,namely,the intuitionistic fuzzy sets multi-attribute decision making method has been used to solve the relationship between intuitionistic fuzzy rough set multiple attribute decision making problems.Based on the proposed decision method,two examples are given to verify.In the first instance,the original method and the improved method are used to solve the problem,and the optimal scheme is obtained.The decision process is compared and summarized,and the advantages of the improved method are obtained.In the second case,the multiple attribute decision making method based on the intuitionistic fuzzy rough set model under the equivalence relation is used to solve the problem.The optimal scheme is proved by calculation and the feasibility of the method is verified.
Keywords/Search Tags:multiple attribute decision-making, Intuitionistic fuzzy rough sets, General equivalence relation, Intuitionistic fuzzy sets, Similarity, Technique for Order Preference by Similarity to Ideal Solution(TOPSIS)
PDF Full Text Request
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