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INTRINSIC TOPOLOGY AND REFINEMENT OF HUTTON UNIT INTERVAL

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【Author】 WANG GUO-JUN (Shaanxi Normal University, Xi’an 710062, PRC) XU LUO-SNAN(Yangzhou Teachers College, Yangzhou 225002, PRC)

【机构】 Shaanxi Normal University； Xi’an 710062； PRC； Yangzhou Teachers College； Yangzhou 225002； PRC Ph.D student of Sichuan University；

【摘要】 <正> This paper introduces the theory of continuous lattices to the study of the Hutton unit interval I(L). some theorems related to I(L) are pithily proved. A kind of intrinsic topologies is applied to refining the topology of I(L),and a new fuzzy unit interval,called the H(λ) unit interval,is defined.Based on the H(λ) unit interval the H(λ)-complete regularity is introduced.Also,the theory of. H(λ)-stone-ech compactifications is established更多还原

【Abstract】 This paper introduces the theory of continuous lattices to the study of the Hutton unit interval I(L). some theorems related to I(L) are pithily proved. A kind of intrinsic topologies is applied to refining the topology of I(L),and a new fuzzy unit interval,called the H(λ) unit interval,is defined.Based on the H(λ) unit interval the H(λ)-complete regularity is introduced.Also,the theory of. H(λ)-stone-ech compactifications is established更多还原

【关键词】 intrinsic topology； Hutton unit interval； H(λ)-complete regularity； H(λ)-Stone-ech compactification.；
【Key words】 intrinsic topology； Hutton unit interval； H(λ)-complete regularity； H(λ)-Stone-ech compactification.；

【基金】 Project supported by the National Natural Science Foundation of China

【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,1992年12期

【被引频次】2
【下载频次】22

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