Fuzzy Riesz subspaces, fuzzy ideals, fuzzy bands and fuzzy band projections
| Dec 12, 2015
About this article
Published Online: Dec 12, 2015
Page range: 77 - 108
Received: Jun 01, 2015
Accepted: Jun 27, 2015
DOI: https://doi.org/10.1515/awutm-2015-0005
© Annals of West University of Timisoara - Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Fuzzy ordered linear spaces, Riesz spaces, fuzzy Archimedean spaces and σ-complete fuzzy Riesz spaces were defined and studied in several works. Following the efforts along this line, we define fuzzy Riesz subspaces, fuzzy ideals, fuzzy bands and fuzzy band projections and establish their fundamental properties.