• The Pure and Applied Mathematics
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• v.7 no.2
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• pp.71-78
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• 2000

Any Hausdoroff space on a set which has at least two points a regular closed Boolean algebra different from the indiscrete regular closed Boolean algebra as indiscrete space. The Sierpinski space and the space with finite complement topology on any infinite set etc. do the same. However, there is $T_{0}$ space which does the same with Hausdorpff space as above. The regular closed Boolean algebra in a topological space is isomorphic to that algebra in the space with its open extension topology.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.8 no.3
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• pp.202-206
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• 2008

We introduce the concept of interval-valued minimal structure which is an extension of the interval-valued fuzzy topology. And we introduce and study the concepts of IVF m-continuous and several types of compactness on the interval-valued fuzzy m-spaces.

• Journal of KIISE:Information Networking
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• v.30 no.1
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• pp.126-133
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• 2003

The existing active routing Protocols assume that the active network topology is static or pre-configured. However a dynamic mechanism to route an active Packet according to the network condition is required due to the dynamic characteristic of the active network. As active routing protocols, SLRP and TCOM500 PLAN project have been proposed, but since both of them are based on the assumption of the static topology we can not say that they are dynamic routing protocols in their entirety. Therefore, in this paper, we propose a new active network routing protocol, called AOSPF (Active Open Shortest Path First), which is compatible with the existing IP routing protocol. AOSPF is an extension of OSPF by adding a new LSA (Link State Advertisement) to allow the active network routing. The newly introduced LSA is used to specify whether the corresponding router is an active router or not. and one bit in the OPTION field of an LSA packet is used as the active router indication bit. This way of extending OSPF is similar to the scheme used in the extension of OSPF for multicast, i.e., MOSPF. In this paper, we will present the operation of AOSPF and the way how an active packet is forwarded based on the active network topology information constructed by AOSPF.