Description

• Title:
  Roughness of Filters in Equality Algebras
• Creator:
  Rezaei, Gholam Reza;
  Borzooei, Rajab Ali;
  Aaly Kologani, Mona;
  Jun, Young Bae
• Contributor:
  Rezaei, Gholam Reza - University of Sistan and Baluchestan, Department of Mathematics, 98167-45845, Daneshjoo Boulevard Zahedan, Iran;
  Borzooei, Rajab Ali - Shahid Beheshti University, Faculty of Mathematical Sciences, Department of Mathematics, 1983969411, Daneshjoo Boulevard Tehran, Iran;
  Aaly Kologani, Mona - Shahid Beheshti University, Faculty of Mathematical Sciences, Department of Mathematics, 1983969411, Daneshjoo Boulevard Tehran, Iran;
  Jun, Young Bae - Gyeongsang National University, Department of Mathematics Education, Jinju 52828, Korea;
  Rezaei, Gholam Reza - grezaei@math.usb.ac.ir;
  Borzooei, Rajab Ali - borzooei@sbu.ac.ir;
  Aaly Kologani, Mona - mona4011@gmail.com;
  Jun, Young Bae - skywine@gmail.com
• Description:
  Rough set theory is an excellent mathematical tool for the analysis of a vague description of actions in decision problems. Now, in this paper by considering the notion of an equality algebra, the notion of the lower and the upper approximations are introduced and some properties of them are given. Moreover, it is proved that the lower and the upper approximations define an interior operator and a closure operator, respectively. Also, using D-lower and D-upper approximation, conditions for a nonempty subset to be definable are provided and investigated that under which condition D-lower and D-upper approximation can be filter.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2023.06.07;
  2023.01.25
• Type:
  Other
• Language:
  English;
  eng
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;1;
  52
• Subject:
  equality algebra;
  approximation space;
  D-lower approximation;
  D-upper approximation;
  filter;
  D-lower filter;
  D-upper filter
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/47234 ;
  2449-836X;
  10.18778/0138-0680.2023.01
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other