IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-015-9964-1_6.html
   My bibliography  Save this book chapter

Selected Applications of Semirings

In: A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

Author

Listed:
  • Kazimierz Głazek

    (University of Zielona Góra, Institute of Mathematics)

Abstract

There are numerous applications of semirings in various branches of mathematics and computer science. We have already mentioned many applications in previous sections. The reader will find papers which use semirings in almost all sections of Mathematical Reviews or Zentralblatt für Mathematik (although unfortunately the terminology is not standard). For example, there are some applications of semirings to modelling of economies (see, e.g., R.P. Gilles, H. Haller & P.H.M. Ruys [1994]), queueing theory (see, e.g., F.L. Baccelli & P. Brémaud [1994], F.L. Baccelli & D. Hong [2000], F.L. Baccelli & V. Schmidt [1996], N.K. Krivulin [1995], and J.-Y. Le Boudec & P. Thiran [2001]), social networks analysis (see, e.g., V. Batagelj [1994]), consensus theory (see the book by K.-H. Kim, F.W. Roush [1980a]), modern control theory of psychological phenomena (see, e.g., Z.-Q. Cao [1982a], [1982b]), computations of biopolymers (see, e.g., A.V. Finkelstein & M.A. Roytberg [1993], DNA computations (see, e.g., A. Mateescu [1998]), mathematical morphology in the sense of J. Serra [1982] (see, e.g., Ch. Ronse & H.J.A.M. Heijmans [1998]), and penalty theory in artificial intelligence (see, e.g., F. Dupin de Saint-Cyr, J. Lang & T. Schiex [1994]). Semirings are used for a physical theory on cognitive processes; see, e.g., D. Gernert [2000].

Suggested Citation

  • Kazimierz Głazek, 2002. "Selected Applications of Semirings," Springer Books, in: A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences, chapter 5, pages 67-87, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-9964-1_6
    DOI: 10.1007/978-94-015-9964-1_6
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-94-015-9964-1_6. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.