Relationship Between Hyper MV -algebras and Hyperlattices

R. A. Borzooei; Akefe Radfar; Sogol Niazian

doi:10.1515/awutm-2016-0016

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Relationship Between Hyper MV -algebras and Hyperlattices

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 54 (2016): Issue 2 (December 2016)

By: R. A. Borzooei, Akefe Radfar and Sogol Niazian

Open Access

|Dec 2016

Abstract

Sh. Ghorbani, et al. [9], generalized the concept of MV -algebras and defined the notion of hyper MV -algebras. Now, in this paper, we try to prove that any hyper MV -algebra is a hyperlattice. First we prove that any hyper MV -algebra that satisfies the semi negation property is a hyperlattice. Then with a computer program, we show that any hyper MV -algebra of order less than 6, is a hyperlattice. Finally, we claim that this result is correct for any hyper MV -algebra.

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Articles in this issue

DOI: https://doi.org/10.1515/awutm-2016-0016 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 75 - 94

Submitted on: Apr 11, 2015

Accepted on: Apr 26, 2016

Published on: Dec 30, 2016

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

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© 2016 R. A. Borzooei, Akefe Radfar, Sogol Niazian, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 54 (2016): Issue 2 (December 2016)