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A Study on the Relationships of Some Indicators of Transitivity-Related Properties of Fuzzy Relations

Author: CaoXue
Tutor: WangXuZhu
School: Taiyuan University of Technology
Course: Applied Mathematics
Keywords: Fuzzy nature of the relationship T- pass indicators S- negative pass indicators T-S- half-transitive indicators T-S-Ferrers relations indicators
CLC: O159
Type: Master's thesis
Year: 2011
Downloads: 83
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Abstract


Continuous t-norm T , the relationship between fuzzy relations and the transitive nature of indicators , its main contents and results are summarized as follows : First, fuzzy decision analysis is often based on the preferences as the fuzzy relationship T- pass , S- negative pass , a review of the TS - half passed , TS-Ferrers relations , consistency , strong pass nature of the link between the relevant conclusions . Secondly , some of the indicators in the existing T- pass indicator , the reflexivity indicators completely indicators , strong completely indicators based on the definition , we add the definition of a non - reflexive indicators S - completely indicators , S - strong completely indicators , T- antisymmetric indicators , T- asymmetric index , S- negative pass indicators , TS- half pass indicators TS - Ferrers relations indicators , consistency index with strong passing indicators next , our main job is transitive relations between the relevant indicators discussed course of the discussion in two parts : the first part involved in T and S the case , first discussed the inverse fuzzy relation remainder intersection and for operator under nature indicators relationship , then study the link between the fuzzy relations and the transitive nature of indicators second part of ( T, S , ( ? )) De Morgan triples , some fuzzy relationship with the rest of the relationship between the nature of indicators of relationship between the discussion between Fodor and Wang transitive nature through our research , promotion , and we also take advantage of the counter-example to the conclusions can not be generalized .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Fuzzy Mathematics
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