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Fuzzy semigroups

Fuzzy semigroups (Loan 2 times)

Material type
단행본
Personal Author
Mordeson, John N. Malik, D. S. Kuroki, Nobuaki , 1941-
Title Statement
Fuzzy semigroups / John N. Mordeson, Davender S. Malik, Nobuaki Kuroki.
Publication, Distribution, etc
Berlin ;   New York :   Springer ,   c2003.  
Physical Medium
ix, 319 p. : ill. ; 24 cm.
Series Statement
Studies in fuzziness and soft computing , 1434-9922 ; v. 131
ISBN
3540032436 (acid-free paper) 9783540032434
Bibliography, Etc. Note
Includes bibliographical references (p. [303]-313) and index.
Subject Added Entry-Topical Term
Semigroups. Fuzzy sets. Machine theory.
000 01054pamuu22003254a 4500
001 000045404579
005 20071130132211
008 030423s2003 gw a b 001 0 eng
010 ▼a 2003050592
020 ▼a 3540032436 (acid-free paper)
020 ▼a 9783540032434
035 ▼a (KERIS)REF000007257969
040 ▼a DLC ▼c DLC ▼d DLC ▼d 211009
042 ▼a pcc
050 0 0 ▼a QA182 ▼b .M67 2003
082 0 0 ▼a 512/.2 ▼2 22
090 ▼a 512.2 ▼b M834f
100 1 ▼a Mordeson, John N.
245 1 0 ▼a Fuzzy semigroups / ▼c John N. Mordeson, Davender S. Malik, Nobuaki Kuroki.
260 ▼a Berlin ; ▼a New York : ▼b Springer , ▼c c2003.
300 ▼a ix, 319 p. : ▼b ill. ; ▼c 24 cm.
440 0 ▼a Studies in fuzziness and soft computing , ▼x 1434-9922 ; ▼v v. 131
504 ▼a Includes bibliographical references (p. [303]-313) and index.
650 0 ▼a Semigroups.
650 0 ▼a Fuzzy sets.
650 0 ▼a Machine theory.
700 1 ▼a Malik, D. S.
700 1 ▼a Kuroki, Nobuaki , ▼d 1941-
945 ▼a KINS

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.2 M834f Accession No. 121161237 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

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.


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