International Journal of Computational Intelligence Systems

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
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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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
13 - 1
Pages
1530 - 1538
Publication Date
2020/10/05
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.200924.001How to use a DOI?
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/).

Cite this article

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  -