Fuzzy Semigroups

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Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Mordeson, John N. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Malik, Davender S. (http://id.loc.gov/vocabulary/relators/aut), Kuroki, Nobuaki (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
Έκδοση:1st ed. 2003.
Σειρά:Studies in Fuzziness and Soft Computing, 131
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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
  • 6.2 Semilattice 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.