Volume 13, Issue 1, 2020, Pages 1530 - 1538
Fuzzy Type Relations and Transformation Operators Defined by Monads
Authors
Jiří Močkoř*
University of Ostrava, Center of Excellence IT4Innovations 30. dubna 22, 701 03 Ostrava 1, Czech Republic
*Email: mockor@osu.cz
Corresponding Author
Jiří Močkoř
Received 23 March 2020, Accepted 17 September 2020, Available Online 5 October 2020.
- DOI
- 10.2991/ijcis.d.200924.001How to use a DOI?
- Keywords
- Powerset object; monad; Monadic relation; Transformation operator defined by monadic relation
- Abstract
Using the theory of monads in categories and the theory of monadic relations, the concept of general transformation operator defined by a monadic relation is introduced. It is proven that a number of standard relations used in categories of fuzzy structures are monadic relations for monads defined in these categories. It is also proven that a number of standardly used transformation operators in fuzzy sets, fuzzy rough sets, or fuzzy soft sets are in the form of general operators defined by monadic relations.
- Copyright
- © 2020 The Authors. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Jiří Močkoř PY - 2020 DA - 2020/10/05 TI - Fuzzy Type Relations and Transformation Operators Defined by Monads JO - International Journal of Computational Intelligence Systems SP - 1530 EP - 1538 VL - 13 IS - 1 SN - 1875-6883 UR - https://doi.org/10.2991/ijcis.d.200924.001 DO - 10.2991/ijcis.d.200924.001 ID - Močkoř2020 ER -