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In this book, we use three types of expansion of topologies. The first, is simple expansion of topologies which is a method used in constructing finer topology from a given topology via a non open subset. The concept of simple expansion of topology was first introduced by Levine(1964). Although a similar concept had been discussed by Hewit (1943). The second type of expansions of topologies is the local discrete expansion of topologies using any subset, which was introduced by Young(1971). Finally, in the last twenty years, contributions for generalization of topologies have been appeared in many papers .The concept of a supratopologies was introduced by Mashhour et-al.(1983). Also, Abd EL-Monsef, et-al.(1987) have been introduced the concept of simple expansion of supratopologies and the concept of local discrete expansion of supratopologies. This work aims to solve some problems in rough set theory using changes of topologies. For example, some undefinable sets with respect to the original topologies can become definable in view of some of its expansion.
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About the Author:
Name: Ahmad Abd Allah Mohamed ZedanQualification: B. Sc. Degree (Mathematics) 1998 MS. C. Degree (Mathematics)2003PhD Degree ( Mathematics ) 2010 , Internal part Faculty of science, Aswan, South Valley University, External part at Theoretical computer science Siegen University , Germany .
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- PublisherNoor Publishing
- Publication date2016
- ISBN 10 3330798939
- ISBN 13 9783330798939
- BindingPaperback
- Number of pages116
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Change of topologies and rough sets
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book, we use three types of expansion of topologies. The first, is simple expansion of topologies which is a method used in constructing finer topology from a given topology via a non open subset. The concept of simple expansion of topology was first introduced by Levine(1964). Although a similar concept had been discussed by Hewit (1943). The second type of expansions of topologies is the local discrete expansion of topologies using any subset, which was introduced by Young(1971). Finally, in the last twenty years, contributions for generalization of topologies have been appeared in many papers .The concept of a supratopologies was introduced by Mashhour et-al.(1983). Also, Abd EL-Monsef, et-al.(1987) have been introduced the concept of simple expansion of supratopologies and the concept of local discrete expansion of supratopologies. This work aims to solve some problems in rough set theory using changes of topologies. For example, some undefinable sets with respect to the original topologies can become definable in view of some of its expansion. 116 pp. Englisch. Seller Inventory # 9783330798939
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Change of topologies and rough sets
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ISBN 13: 9783330798939
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Book Description Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this book, we use three types of expansion of topologies. The first, is simple expansion of topologies which is a method used in constructing finer topology from a given topology via a non open subset. The concept of simple expansion of topology was first introduced by Levine(1964). Although a similar concept had been discussed by Hewit (1943). The second type of expansions of topologies is the local discrete expansion of topologies using any subset, which was introduced by Young(1971). Finally, in the last twenty years, contributions for generalization of topologies have been appeared in many papers .The concept of a supratopologies was introduced by Mashhour et-al.(1983). Also, Abd EL-Monsef, et-al.(1987) have been introduced the concept of simple expansion of supratopologies and the concept of local discrete expansion of supratopologies. This work aims to solve some problems in rough set theory using changes of topologies. For example, some undefinable sets with respect to the original topologies can become definable in view of some of its expansion. Seller Inventory # 9783330798939
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Zedan AhmedName: Ahmad Abd Allah Mohamed ZedanQualification: B. Sc. Degree (Mathematics) 1998 MS. C. Degree (Mathematics)2003PhD Degree ( Mathematics ) 2010 , Internal part Faculty of science, Aswan, South Valley University, Externa. Seller Inventory # 151242687
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Change of topologies and rough sets
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Book Description Paperback. Condition: Brand New. 116 pages. 8.66x5.91x0.27 inches. In Stock. Seller Inventory # 3330798939
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