Fuzzy topology:
Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1997
|
| Schriftenreihe: | Advances in fuzzy systems
v. 9 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background - processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other. This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called "pointed approach" and the effects of stratification structure appearing in fuzzy sets. The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates |
| Beschreibung: | x, 353 p. ill |
| ISBN: | 9789812817242 |
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| 520 | |a Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background - processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other. This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called "pointed approach" and the effects of stratification structure appearing in fuzzy sets. The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates | ||
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Datensatz im Suchindex
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| author | Liu, Ying-ming |
| author_facet | Liu, Ying-ming |
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| dewey-full | 514/.322 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.322 |
| dewey-search | 514/.322 |
| dewey-sort | 3514 3322 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044636619 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:49Z |
| institution | BVB |
| isbn | 9789812817242 |
| language | English |
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| publishDate | 1997 |
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| series2 | Advances in fuzzy systems |
| spelling | Liu, Ying-ming Verfasser aut Fuzzy topology Liu Ying-Ming, Luo Mao-Kang Singapore World Scientific Pub. Co. c1997 x, 353 p. ill txt rdacontent c rdamedia cr rdacarrier Advances in fuzzy systems v. 9 Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background - processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other. This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called "pointed approach" and the effects of stratification structure appearing in fuzzy sets. The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates Fuzzy topology Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 s Fuzzy-Logik (DE-588)4341284-1 s DE-604 Luo, Mao-kang Sonstige oth Erscheint auch als Druck-Ausgabe 9789810228620 Erscheint auch als Druck-Ausgabe 9810228627 http://www.worldscientific.com/worldscibooks/10.1142/3281#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Liu, Ying-ming Fuzzy topology Fuzzy topology Fuzzy-Menge (DE-588)4061868-7 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
| subject_GND | (DE-588)4061868-7 (DE-588)4341284-1 |
| title | Fuzzy topology |
| title_auth | Fuzzy topology |
| title_exact_search | Fuzzy topology |
| title_full | Fuzzy topology Liu Ying-Ming, Luo Mao-Kang |
| title_fullStr | Fuzzy topology Liu Ying-Ming, Luo Mao-Kang |
| title_full_unstemmed | Fuzzy topology Liu Ying-Ming, Luo Mao-Kang |
| title_short | Fuzzy topology |
| title_sort | fuzzy topology |
| topic | Fuzzy topology Fuzzy-Menge (DE-588)4061868-7 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
| topic_facet | Fuzzy topology Fuzzy-Menge Fuzzy-Logik |
| url | http://www.worldscientific.com/worldscibooks/10.1142/3281#t=toc |
| work_keys_str_mv | AT liuyingming fuzzytopology AT luomaokang fuzzytopology |