Neutrosophic Rough Set Algebra

C. Antony Crispin Sweety; I. Arockiarani

doi:https://doi.org/10.14445/22315373/IJMTT-V38P528

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 38 | Number 3 | Year 2016 | Article Id. IJMTT-V38P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V38P528

Neutrosophic Rough Set Algebra

C. Antony Crispin Sweety, I. Arockiarani

Citation :

C. Antony Crispin Sweety, I. Arockiarani, "Neutrosophic Rough Set Algebra," International Journal of Mathematics Trends and Technology (IJMTT), vol. 38, no. 3, pp. 154-163, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V38P528

Abstract

A rough set is a formal approximation of a crisp set which gives lower and upper approximation of original set to deal with uncertainties. The concept of neutrosophic set is a mathematical tool for handling imprecise, indeterministic and inconsistent data. In this paper, we defne concepts of Rough Neutrosophic algebra and investigate some of their properties.

Keywords

In this paper, we defne concepts of Rough Neutrosophic algebra and investigate some of their properties.

References

[1] K.Atanassov, 1986. intuitionistic fuzzy sets.Fuzzy sets and systems, 20, 87-96.
[2] K. T. Atanassov, "Remarks on the intuitionistic fuzzy sets"III,"Fuzzy Sets and Systems, vol. 75, no. 3, pp. 401"402, 1995.
[3] D. Boixader, J.Jacas and j. Recasens, 2000. Upper and lower approximations of fuzzy set. International journal of general systems, 29, 555-568.
[4] D. Dubois and H.Parade 1990.Rough fuzzy sets and fuzzy rough sets. International Journal of general systems, 17, 191-209.
[5] T. Y.Lin and Q. Liu 1994. Rough approximate operators: axiomatic rough set theory. In: W. Ziarko, ed. Rough sets fuzzy sets and knowledge discovery. Berlin: Springer, 256-260.
[6] S. Nanda and Majunda, 1992. Fuzzy rough sets. Fuzzy sets an systems, 45, 157-160.
[7] Z. Pawlak, "Rough sets," International Journal of Computer & Information Sciences, vol.11, no. 5, pp. 145" 172, 1982.
[8] Z. Pawlak, Rough Sets-Theoretical Aspects to Reasoning about Data, Kluwer Academic Publisher, Boston, Mass, USA, 1991.
[9] F.Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics University of New Mexico, Gallup, NM 87301, USA (2002).
[10] F.Smarandache, Neutrosophic set, a generialization of the intuituionistics fuzzy sets, Inter.J.Pure Appl.Math.,24 (2005),287 " 297.
[11] L. A. Zadeh, "Fuzzy sets," Information and Control, vol. 8, no. 3, pp. 338"353, 1965.