The Resource Cardinalities of Fuzzy Sets, by Maciej Wygralak, (electronic resource)

Cardinalities of Fuzzy Sets, by Maciej Wygralak, (electronic resource)

Label
Cardinalities of Fuzzy Sets
Title
Cardinalities of Fuzzy Sets
Statement of responsibility
by Maciej Wygralak
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This is the first book presenting cardinality theory of fuzzy sets with triangular norms, including its scalar and "fuzzy" streams. This theory constitutes not only a powerful basis but also a useful tool for modelling and processing vague and imprecise quantitative information. The multiple application areas of the theory encompass computer science, soft computing, computing with words, and decision-making. Starting with a presentation of the fundamentals of triangular norms and fuzzy set theory, the book offers a self-contained, concise and systematic exposition of cardinalities of fuzzy sets that includes many examples
Member of
http://library.link/vocab/creatorName
Wygralak, Maciej
Image bit depth
0
LC call number
QA76.9.M35
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Studies in Fuzziness and Soft Computing,
Series volume
118
http://library.link/vocab/subjectName
  • Engineering
  • Computer science
  • Group theory
  • Systems theory
  • Physics
  • Engineering
  • Complexity
  • Math Applications in Computer Science
  • Group Theory and Generalizations
  • Systems Theory, Control
Label
Cardinalities of Fuzzy Sets, by Maciej Wygralak, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Triangular Operations and Negations (Allegro) -- 1.1. Triangular Norms and Conorms -- 1.2. Negations -- 1.3. Associated Triangular Operations -- 1.4. Archimedean Triangular Operations -- 1.5. Induced Negations and Complementary Triangular Operations -- 1.6. Implications Induced by Triangular Norms -- 2. Fuzzy Sets (Andante spianato) -- 2.1. The Concept of a Fuzzy Set -- 2.2. Operations on Fuzzy Sets -- 2.3. Generalized Operations -- 2.4. Other Elements of the Language of Fuzzy Sets -- 2.5. Towards Cardinalities of Fuzzy Sets -- 3. Scalar Cardinalities of Fuzzy Sets (Scherzo) -- 3.1. An Axiomatic Viewpoint -- 3.2. Cardinality Patterns -- 3.3. Valuation Property and Subadditivity -- 3.4. Cartesian Product Rule and Complementarity -- 3.5. On the Fulfilment of a Group of the Properties -- 4. Generalized Cardinals with Triangular Norms (Rondeau à la polonaise) -- 4.1. Generalized FGCounts -- 4.2. Generalized FLCounts -- 4.3. Generalized FECounts -- List of Symbols
Dimensions
unknown
Extent
XIV, 196 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540363828
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-540-36382-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-36382-8
Label
Cardinalities of Fuzzy Sets, by Maciej Wygralak, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Triangular Operations and Negations (Allegro) -- 1.1. Triangular Norms and Conorms -- 1.2. Negations -- 1.3. Associated Triangular Operations -- 1.4. Archimedean Triangular Operations -- 1.5. Induced Negations and Complementary Triangular Operations -- 1.6. Implications Induced by Triangular Norms -- 2. Fuzzy Sets (Andante spianato) -- 2.1. The Concept of a Fuzzy Set -- 2.2. Operations on Fuzzy Sets -- 2.3. Generalized Operations -- 2.4. Other Elements of the Language of Fuzzy Sets -- 2.5. Towards Cardinalities of Fuzzy Sets -- 3. Scalar Cardinalities of Fuzzy Sets (Scherzo) -- 3.1. An Axiomatic Viewpoint -- 3.2. Cardinality Patterns -- 3.3. Valuation Property and Subadditivity -- 3.4. Cartesian Product Rule and Complementarity -- 3.5. On the Fulfilment of a Group of the Properties -- 4. Generalized Cardinals with Triangular Norms (Rondeau à la polonaise) -- 4.1. Generalized FGCounts -- 4.2. Generalized FLCounts -- 4.3. Generalized FECounts -- List of Symbols
Dimensions
unknown
Extent
XIV, 196 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540363828
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-540-36382-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-36382-8

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