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模糊关系的性质指标研究

Study on Some Property Indicators of Fuzzy Relations
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摘要 给出了反对称指标的新定义,并将其与王等文中的相关定义作了比较.接着在彭等提出的条件下,讨论了T-传递、S-负传递、T-S-半传递、T-S-Ferrers性质、反对称以及非自反等模糊关系性质指标之间的关系,从而将Fodor关于非自反、T-传递、T-S-半传递以及T-S-Ferrers性质之间关系的结论和王关于非对称、S-负传递、T-传递、T-S-半传递以及T-S-Ferrers性质之间关系的结论推广为程度描述. Asymmetry indicator of fuzzy relations was redefined and compared to the definition proposed by Wang et al.Then the relation among some property indicators of fuzzy relationships,including Ttransitivity,negative S-transitivity,T-S-semitransitivity,T-S-Ferrers property,asymmetry and irreflexivity indicators were investigated under the conditions proposed by Peng ea al.Some results on irreflexivity,T-transitivity,T-S-semitransitivity and T-S-Ferrers property done by Fodor and ones on asymmetry,negative S-transitivity T-transitivity,T-S-semitransitivity and T-S-Ferrers property done by Wang were extended to the degree description.
出处 《中北大学学报(自然科学版)》 CAS 北大核心 2015年第5期506-510,共5页 Journal of North University of China(Natural Science Edition)
基金 国家自然科学基金青年基金项目(41101507) 山西省自然科学基金(2013011004-1)
关键词 T-传递指标 S-负传递指标 T-S-半传递指标 T-S-Ferrers指标 T-transitivity indicator negative S-transitivity indicator T-S-semitransitivity indicator T S-Ferrers indicator
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参考文献8

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