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Some Unitary Operators on Hoop-algebras

Some Unitary Operators on Hoop-algebras This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2017.06.005 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fuzzy Information and Engineering Taylor & Francis

Some Unitary Operators on Hoop-algebras

Some Unitary Operators on Hoop-algebras

Abstract

AbstractIn this paper, we introduce the notions of multiplier, -closure operator and modal operator on hoop-algebras. After that, we investigate some algebraic properties of multiplier, -closure operator and modal operator on hoop-algebras. Then we study relationships between multiplier and closure operator on hoop-algebras showing that, any monotone modal operator on hoop-algebra serves as a closure operator. Finally we represent image of hoop-algebra under the closure operator can be a...
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Publisher
Taylor & Francis
Copyright
© 2017 Fuzzy Information and Engineering Branch of the Operations Research Society of China. Production and hosting by Elsevier B.V. All rights reserved.
ISSN
1616-8666
eISSN
1616-8658
DOI
10.1016/j.fiae.2017.06.005
Publisher site
See Article on Publisher Site

Abstract

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2017.06.005

Journal

Fuzzy Information and EngineeringTaylor & Francis

Published: Jun 1, 2017

Keywords: Hoop-algebra; Multiplier; ⊙-closure operator; Modal operator; Homomorphism

References