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不分明化拓扑中的θ-闭包 被引量:5

ON θ CLOSURE IN FUZZIFYING TOPOLOGY
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摘要 在不分明化拓扑空间中,给出了人们广为关注的拓扑学中的θ闭包的概念,并由此定义了θ-开集、θ-闭集、θ-连续映射和强θ-连续映射.使用逻辑的语议的方法讨论了他们的有关性质,在不分明化拓扑中导入了θ-拓扑空间。 The concept of θ closure,θ open sets,θ closed sets,θ continaous mappings and θ strong continuous mapprings are introduced. By the use of methods of semantic in logic, some properties of them are discussed, and four equivalence conditions of θ strong continuous mapping and four necessary conditions of θ continuous mapping are obtained.
机构地区 大连大学数学系
出处 《辽宁师范大学学报(自然科学版)》 CAS 1996年第3期202-209,共8页 Journal of Liaoning Normal University:Natural Science Edition
关键词 不分明化拓扑 θ闭包 θ连续映射 拓扑学 Fuzzifying topology,θ closure ,θ continuous mapping
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同被引文献26

  • 1王瑞英,王尚志.不分明化拓扑中的几乎分离公理[J].首都师范大学学报(自然科学版),2004,25(3):10-14. 被引量:4
  • 2张广济.θ-紧空间的性质[J].辽宁师范大学学报(自然科学版),1993,16(2):111-115. 被引量:9
  • 3王瑞英,吉智方,王尚志.I-fuzzy拓扑中的分离公理[J].数学学报(中文版),2007,50(2):311-318. 被引量:10
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  • 7蒲保明,刘应明.fuzzy topologyⅠ,Neighborhood structure of a fuzzy point and Moore-Smith convergence[J].JMAA,1980,76:571-599.
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  • 10Ying Mingsheng.A new approach for fuzzy topology(Ⅲ)[J].Fuzzy Sets and Systems,1993,55:193-207.

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