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Uncertain Information Processing Of SPA Method Based On Vague Sets And Its Application

Posted on:2013-03-20Degree:MasterType:Thesis
Country:ChinaCandidate:W J WangFull Text:PDF
GTID:2248330395461301Subject:Computer technology
Abstract/Summary:PDF Full Text Request
As the important tool and method of the uncertain data intelligent information processing, vague sets have a important application in pattern recognition, approximate reasoning, artificial intelligence, fault diagnosis, target decision and knowledge discovery and other fields, and has obtained certain achievements. Vague sets theory is relatively not mature; there are still a lot of problems to resolve. Combining with sure uncertain theory SPA concentrated contact number method, this paper discusses inner link and characteristics of the true and false vague concentration membership function and SPA sets connection number. Established on the same (the same), different (difference) and reverse (opposite) aspects,The Vague sets information processing of the SPA sets theory and method are used to solve the uncertainty problem, fuzziness and randomness problem.This paper firstly introduces the research background, present situation and development of the Vague set and systematically introduces the basic theory, operation and nature of the Fuzzy sets and Vague sets, SPA sets.Secondly this paper puts forward a kind of similar measurement method of the vague sets of SPA. By considering the support degree, the unascertained degree and degree of opposition three aspects information, it established the criterion and formula of the Vague sets similarity measures of SPA, which also proved that this formula meet the standards. And after analyzing the shortages and defects of existing similarity measurement method through concrete examples, it proved the method was feasibility, validity and rationality,the defects and the insufficiency of the existing Vague value transformation Fuzzy value combined with SPA sets contact number potential definition and the potential between the meaning of Fuzzy sets relationship, this paper studies the Fuzzy sets and Vague sets into SPA sets transformation Fuzzy sets of the reciprocal transformation method and at the same time analysis proved the essence of conversion methods and meet the related standards of the rationality of the transformation, and through the concrete examples, it shows the correctness of the two kinds of transformation methods.Finally, in reference to fuzzy number, this paper puts forward ternary vague sets on the basis of fuzzy numbers, and through the multi-objective decision-making examples it shows that this method has a good application prospect on intelligent information processing tools.
Keywords/Search Tags:Vague sets, Fuzzy sets, SPA sets, transformation method, similaritymeasure
PDF Full Text Request
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