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Fuzzy Semigroups John N. Mordeson Author
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Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld … Altro …

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ISBN: 9783642057069

Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld … Altro …

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Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld … Altro …

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Fuzzy Semigroups (Studies in Fuzziness and Soft Computing, 131, Band 131) - Mordeson, John N.
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Mordeson, John N.:
Fuzzy Semigroups (Studies in Fuzziness and Soft Computing, 131, Band 131) - edizione con copertina flessibile

2010, ISBN: 9783642057069

Mitwirkende: Malik, Davender S. Mitwirkende: Kuroki, Nobuaki, Springer Berlin Heidelberg, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2003, 332 Seiten, Publiziert: 2010-0… Altro …

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Fuzzy Semigroups - Kuroki, Nobuaki; Malik, Davender S.; Mordeson, John N.
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Kuroki, Nobuaki; Malik, Davender S.; Mordeson, John N.:
Fuzzy Semigroups - edizione con copertina flessibile

2010, ISBN: 3642057063

edizione con copertina rigida

Softcover reprint of hardcover 1st ed. 2003 Kartoniert / Broschiert Angewandte Mathematik, Mathematik für Ingenieure, Informationstechnik (IT), allgemeine Themen, FuzzyCodingTheory; Fuz… Altro …

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Dettagli del libro
Fuzzy Semigroups John N. Mordeson Author

The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. The book concentrates on theoretical aspects, but also includes applications in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. Basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages are reviewed and introduced, as well as certain fuzzy ideals of a semigroup and advanced characterizations and properties of fuzzy semigroups.

Informazioni dettagliate del libro - Fuzzy Semigroups John N. Mordeson Author


EAN (ISBN-13): 9783642057069
ISBN (ISBN-10): 3642057063
Copertina rigida
Copertina flessibile
Anno di pubblicazione: 2010
Editore: Springer Berlin Heidelberg Core >1 >T
332 Pagine
Peso: 0,503 kg
Lingua: eng/Englisch

Libro nella banca dati dal 2011-09-09T16:28:57+02:00 (Zurich)
Pagina di dettaglio ultima modifica in 2024-03-25T19:36:53+01:00 (Zurich)
ISBN/EAN: 9783642057069

ISBN - Stili di scrittura alternativi:
3-642-05706-3, 978-3-642-05706-9
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : malik, nobu, rosenfeld
Titolo del libro: semigroups, 131


Dati dell'editore

Autore: John N. Mordeson; Davender S. Malik; Nobuaki Kuroki
Titolo: Studies in Fuzziness and Soft Computing; Fuzzy Semigroups
Editore: Springer; Springer Berlin
319 Pagine
Anno di pubblicazione: 2010-12-05
Berlin; Heidelberg; DE
Stampato / Fatto in
Lingua: Inglese
171,19 € (DE)
175,99 € (AT)
189,00 CHF (CH)
POD
IX, 319 p. 1 illus.

BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; Fuzzy; Fuzzy Coding Theory; Fuzzy Finite State Machines; Fuzzy Languages; Fuzzy semigroups; Transformation; algorithm; algorithms; automata; construction; Group Theory and Generalizations; Mathematical and Computational Engineering Applications; Computer and Information Systems Applications; Applications of Mathematics; Mathematik für Ingenieure; Angewandte Informatik; Angewandte Mathematik; BB

1 Introduction.- 1.1 Notation.- 1.2 Relations.- 1.3 Functions.- 1.4 Fuzzy Subsets.- 1.5 Semigroups.- 1.6 Codes.- 1.7 Finite-State Machines.- 1.8 Finite-State Automata.- 1.9 Languages and Grammars.- 1.10 Nondeterministic Finite-State Automata.- 1.11 Relationships Between Languages and Automata.- 2 Fuzzy Ideals.- 2.1 Introduction.- 2.2 Ideals in Semigroups.- 2.3 Fuzzy Ideals in Semigroups.- 2.4 Fuzzy Bi-ideals in Semigroups.- 2.5 Fuzzy Interior Ideals in Semigroups.- 2.6 Fuzzy Quasi-ideals in Semigroups.- 2.7 Fuzzy Generalized Bi-ideals in Semigroups.- 2.8 Fuzzy Ideals Generated by Fuzzy Subsets of Semigroups.- 3 Regular Semigroups.- 3.1 Regular Semigroups.- 3.2 Completely Regular Semigroups.- 3.3 Intra-regular Semigroups.- 3.4 Semisimple Semigroups.- 3.5 On Fuzzy Regular Subsemigroups of a Semigroup.- 3.6 Fuzzy Weakly Regular Subsemigroups.- 3.7 Fuzzy Completely Regular and Weakly Completely Regular Subsemigroups.- 3.8 Weakly Regular Semigroups.- 4 Semilattices of Groups.- 4.1 A Semilattice of Left (Right) Simple Semigroups.- 4.2 A Semilattice of Left (Right) Groups.- 4.3 A Semilattices of Groups.- 4.4 Fuzzy Normal Semigroups.- 4.5 Convexity and Green’s Relations.- 4.6 The Compact Convex Set of Fuzzy Ideals.- 4.7 Fuzzy Ideals and Green’s Relations.- 5 Fuzzy Congruences on Semigroups.- 5.1 Fuzzy Congruences on a Semigroup.- 5.2 Fuzzy Congruences on a Group.- 5.3 Fuzzy Factor Semigroups.- 5.4 Homomorphism Theorems.- 5.5 Idempotent-separating Fuzzy Congruences.- 5.6 Group Fuzzy Congruences.- 5.7 The Lattice of Fuzzy Congruence Relations on a Semigroup.- 5.8 Fuzzy Congruence Pairs of Inverse Semigroups.- 5.9 Fuzzy Rees Congruences on Semigroups.- 5.10 Additional Fuzzy Congruences on Semigroups.- 6 Fuzzy Congruences on T*-pure Semigroups.- 6.1 T*-pure Semigroups.- 6.2Semilattice Fuzzy Congruences.- 6.3 Group Fuzzy Congruences.- 7 Prime Fuzzy Ideals.- 7.1 Preliminaries.- 7.2 Prime Fuzzy Ideals.- 7.3 Weakly Prime Fuzzy Ideals.- 7.4 Completely Prime and Weakly Completely Prime Fuzzy Ideals.- 7.5 Relationships.- 7.6 Types of Prime Fuzzy Left Ideals.- 7.7 Prime Fuzzy Left Ideals.- 7.8 Fuzzy m-systems and Quasi-prime Fuzzy Left Ideals.- 7.9 Weakly Quasi-prime Fuzzy Left Ideals.- 7.10 Fuzzy Ideals i(f) and I(f).- 7.11 Strongly Semisimple Semigroups.- 7.12 Fuzzy Multiplication Semigroups.- 7.13 Properties of Fuzzy Multiplication Semigroups.- 7.14 Fuzzy Ideal Extensions.- 7.15 Prime Fuzzy Ideals.- 8 Fuzzy Codes on Free Monoids.- 8.1 Fuzzy Codes.- 8.2 Prefix Codes.- 8.3 Maximal Fuzzy Prefix Codes.- 8.4 Algebraic Properties of Fuzzy Prefix Codes on a Free Monoid.- 8.5 Fuzzy Prefix Codes Related to Fuzzy Factor Theorems.- 8.6 Equivalent Depictions of Fuzzy Codes.- 8.7 Fuzzy Codes and Fuzzy Submonoids.- 8.8 An Algorithm of test for Fuzzy Codes.- 8.9 Measure of a Fuzzy Code.- 8.10 Code Theory and Fuzzy Subsemigroups.- 8.11 Construction of Examples by Closure Systems.- 8.12 Examples by *-morphisms.- 9 Generalized State Machines.- 9.1 T-generalized State Machines.- 9.2 T-generalized Transformation Semigroups.- 9.3 Coverings.- 9.4 Direct Products.- 9.5 Decompositions of T-generalized Transformation Semigroups.- 9.6 On Proper Fuzzification of Finite State Machines.- 9.7 Generalized Fuzzy Finite State Machines.- 9.8 Fuzzy Relations and Fuzzy Finite State Machines.- 9.9 Completion of Fuzzy Finite State Machines.- 9.10 Generalized State Machines and Homomorphisms.- 10 Regular Fuzzy Expressions.- 10.1 Regular Fuzzy Expressions.- 10.2 Codes Over Languages.- 10.3 Regulated Codes and Fuzzy Grammars.- References.
Recent Research on Fuzzy Semigroups Theory and application in the areas of fuzzy coding theory, fuzzy finite state machines, fuzzy languages. Includes supplementary material: sn.pub/extras

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