Hv-semigroups as noise pollution models in urban areas
Keywords:
Hv-structures, Hv-group, Hv-semigroupAbstract
Poor urban planning may give rise to noise pollution, since side by side industrial and residential buildings can result in noise pollution in the residential area. In this paper we represent the noise pollution with an Hv-semigroup. More specic, we introduce the concept of right reproductive Hv-semigroup which seems to be a useful tool to study the noise pollution problem in urban areas.
References
N. Antampou s, s1-Hv-groups, s1-hypergroups and the @-operation, Pro-ceedings 10th AHA Congress 2008, Brno - Czech Republic, (2009), 99 112.
J. Barreiro, M. Snchez, M. Viladrich-Grau, How much are people willing to pay for silence? A contingent valuation study, Applied Economics, (2005), 37 (11).
J. Chvalina, S. Hoskova, Modelling of join spaces with proximities by rst-order linear partial di erential operators, Italian Journal of Pure and Applied Math., N.21 (2007), 177-190.
P. Corsini, Prolegomena of Hypergroup Theory, Aviani Editore, 1993
P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory, Kluwer Academic Publishers, Boston / Dordrecht / London, 2003.
B. Davvaz, A brief survey of the theory of Hv-structures, 8th AHA Congress, Spanidis Press (2003), 39-70.
A. Dramalidis, Dual Hv-rings (MR1413019), Rivista di Matematica Pura ed Applicata, Italy, v. 17, (1996), 55-62.
A. Dramalidis, Geometrical Hv-structures, Proc. of the "Structures el-ements of hyperstructures", Alexandroupolis, Greece, Spanidis Press, (2005), 41-51.
J. M. Field, E ect of personal and situational variables upon noise an-noyance in residential areas, Journal of the Acoustical Society of Amer-ica, (1993), 93: 2753-2763.
A. Maturo, Alternative Fuzzy Operations and Applications to Social Sci-ences. International Journal of Intelligent Systems, DOI: 10.1002/ int. 20383. ISSN 1098-111X, (2009), Vol. 24, pp. 1243-1264.
A. Maturo, B. Ferri, On some applications of fuzzy sets and commuta-tive hypergroups to evaluation in architecture and town-planning, Ratio Mathematica, 13, (1999), 51-60.
A. Maturo, A. Ventre, Multilinear Decision Making, Consensus and As-sociated Hyperstructures, 10th AHA Congress, Brno, Czech Rep. 2008, (2009),181-190.
T. Vougiouklis, The fundamental relation in hyperrings. The general hyper eld, Proc. of the 4th AHA, Xanthi (1990), World Scienti c, 1991, 203-211.
T. Vougiouklis, Hyperstructures and their representations, Monographs, Hadronic Press, USA, 1994.
T. Vougiouklis, P. Kambaki, Algebraic Models in Applied Research, Jor-dan Journal of Mathematics and Statistics, (JJMS) 2008 1(1), 78-87.
T. Vougiouklis, On the hyperstructures with @-hopes, 10th AHA Congress, Brno, Czech Republic 2008, (2009), 281-296.
Downloads
Published
Issue
Section
License
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:
- Free access for all users worldwide
- Increased visibility and readership
- Rapid publication
- No spatial constraints
- Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)
Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.