IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v421y2022ics0096300322000169.html
   My bibliography  Save this article

Tolerance-localized and control-localized solutions of interval linear equations system and their application to course assignment problem

Author

Listed:
  • Leela-apiradee, Worrawate
  • Gorka, Artur
  • Burimas, Kanokwan
  • Thipwiwatpotjana, Phantipa

Abstract

There are many approaches to solving a system of interval linear equations. Each of them has different semantics based on the context of the system. We define here two other types of solutions called ‘tolerance-localized’ and ‘control-localized’ solutions. A tolerance-localized solution means that it provides either tolerance, L-localized, or R-localized behavior in each equation of the system. The similar argument serves for a control-localized solution. Theorems are proved to obtain the characterizations of the new solutions. Both sets of tolerance-localized and control-localized solutions could be represented by a system of integer linear equations. An example of application to the course assignment problem is presented, where the teaching workload restriction has been considered as tolerance-localized or control-localized constraints.

Suggested Citation

  • Leela-apiradee, Worrawate & Gorka, Artur & Burimas, Kanokwan & Thipwiwatpotjana, Phantipa, 2022. "Tolerance-localized and control-localized solutions of interval linear equations system and their application to course assignment problem," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    • Handle: RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000169
    DOI: 10.1016/j.amc.2022.126930
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322000169
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.126930?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Popova, Evgenija D., 2017. "Parameterized outer estimation of AE-solution sets to parametric interval linear systems," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 353-360.
    2. Shary, Sergey P., 2015. "New characterizations for the solution set to interval linear systems of equations," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 570-573.
    3. Shary, Sergey P., 1995. "Solving the linear interval tolerance problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(1), pages 53-85.
    4. Artur Gorka & Phantipa Thipwiwatpotjana, 2015. "The Importance of Fuzzy Preference in Course Assignment Problem," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Popova, Evgenija D., 2020. "New parameterized solution with application to bounding secondary variables in FE models of structures," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    2. Ignacio Araya & Gilles Trombettoni & Bertrand Neveu & Gilles Chabert, 2014. "Upper bounding in inner regions for global optimization under inequality constraints," Journal of Global Optimization, Springer, vol. 60(2), pages 145-164, October.
    3. Stefania Corsaro & Marina Marino, 2006. "Interval linear systems: the state of the art," Computational Statistics, Springer, vol. 21(2), pages 365-384, June.
    4. Ivan Contreras & Remei Calm & Miguel A. Sainz & Pau Herrero & Josep Vehi, 2021. "Combining Grammatical Evolution with Modal Interval Analysis: An Application to Solve Problems with Uncertainty," Mathematics, MDPI, vol. 9(6), pages 1-20, March.

    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:eee:apmaco:v:421:y:2022:i:c:s0096300322000169. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.