rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Fuzzy Algebraic Hyperstructures
    sub title: An Introduction
  name:
    name part: Davvaz, Bijan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Cristea, Irina.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 242 p. 1 illus. online resource.
  abstract: This book is intended as an introduction to fuzzy algebraic hyperstructures. As the first in its genre, it includes a number of topics, most of which reflect the authors’ past research and thus provides a starting point for future research directions. The book is organized in five chapters. The first chapter introduces readers to the basic notions of algebraic structures and hyperstructures. The second covers fuzzy sets, fuzzy groups and fuzzy polygroups. The following two chapters are concerned with the theory of fuzzy Hv-structures: while the third chapter presents the concept of fuzzy Hv-subgroup of Hv-groups, the fourth covers the theory of fuzzy Hv-ideals of Hv-rings. The final chapter discusses several connections between hypergroups and fuzzy sets, and includes a study on the association between hypergroupoids and fuzzy sets endowed with two membership functions. In addition to providing a reference guide to researchers, the book is also intended as textbook for undergraduate and graduate students.
  table of contents: Fundamentals of Algebraic (Hyper)Structures -- Fuzzy Polygroups -- Fuzzy Hv-Subgroups of Hv-Groups -- Hv-Rings (hyperrings) and Hv-Ideal -- Connections Between Hypergroups And Fuzzy Sets.
  note: by Bijan Davvaz, Irina Cristea.
  subject:
    topic: Engineering
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Computational intelligence
  subject:
    topic: Engineering
  subject:
    topic: Computational Intelligence
  subject:
    topic: General Algebraic Systems
  subject:
    topic: Symbolic and Algebraic Manipulation
  classification: Q342
  classification: 006.3
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Studies in Fuzziness and Soft Computing, 321
  identifier: 9783319147628
  identifier: http://dx.doi.org/10.1007/978-3-319-14762-8
  record info:
    record creation date: 150123
    record change date: 20151116134954.0
    record identifier: 978-3-319-14762-8