<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></abstract>

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.

Fuzzy Riesz subspaces, fuzzy ideals, fuzzy bands and fuzzy band projections

Department of Mathematics Robert Morris University Moon, PA 15108, USA

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Fuzzy Riesz subspaces, fuzzy ideals, fuzzy bands and fuzzy band projections"}

Fuzzy ordered linear spaces, Riesz spaces, fuzzy Archimedean spaces and σ-complete fuzzy Riesz spaces were defined and studied in several works. Following the...

Fuzzy Riesz subspaces, fuzzy ideals, fuzzy bands and fuzzy band projections

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.