INTUTIONISTIC FUZZY ORDERED FILTER IN ORDERED Г-SEMIGROUP

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Published: Jul 5, 2015

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R. BHARATHI

Abstract

In this paper we introduce intuitionistic fuzzy ordered filters in ordered Г-semigroups in order to obtain some characterization theorems.

Keywords: Ordered Г-semigroup, intuitionistic fuzzy Г- subsemi group, and intuitionistic fuzzy ordered ideal, intuitionistic fuzzy ordered filter.

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How to Cite
BHARATHI, R. (2015). INTUTIONISTIC FUZZY ORDERED FILTER IN ORDERED Г-SEMIGROUP. Journal of Global Research in Mathematical Archives(JGRMA), 2(8), 12–20. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/247
Issue
Vol. 2 No. 8 (2014): August-2014
Section
Research Paper

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References

Arunothai Kanyala and Aiyared Iampan, Coincides of different types of fuzzy ideals in ordered-Г-semigroups , Korean J. Math. 22 (2014), No. 2, pp. 367-381.

K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87–96.

K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1994), 137–142.

K. Atanassov, Intuitionistic fuzzy sets, theory and Applications, Studies in Fuzziness and Soft Computing. 35 (1999), Physica-Verlag, Heidelberg.

T. K. Dutta and N. C. Adhikari, On partially ordered Г-semigroup, South East Asian Bull. Math. 28(6) (2004), 1021–1028.

A. Iampan, Characterizing fuzzy sets in ordered Г-semigroups, J. Math. Res. 2 (2010), 52-56.

N. Kehayopulu and M. Tsingelis, A note on fuzzy sets in semigroups, Sci. Math 2 (1999), 411- 413.

N. Kehayopulu,M. Tsingelis, Fuzzy sets in ordered groupoids, Semigroup Forum, 65(2002),128− 132.

N. Kehayopulu and M. Tsingelis, Green's relations in ordered groupoids in terms of fuzzy subsets, Soochow J. Math. 33 (2007), 383-397.

K. H. Kim, Intuitionistic fuzzy sets in ordered semigroups, International Mathematical Forum 4 (2009), 2259-2268.

N. Kuroki, On fuzzy semigroups, Informing Science 53 (1991), 203-236

N. K. Saha, On Г-semigroup II, Bull. Calcutta. Math. Soc. 79 (1987), 331–335.

S. K. Sardar and S. K. Majumder, On fuzzy ideals in Г-semigroups, International Journal of Algebra 3(16) (2009), 775–784.

S. K. Sardar, S. K. Majumder and M. Mandal, Atanassov’s intuitionistic fuzzy ideals of Г-semigroups, Int. J. of Algebra 5(7) (2011), 335–353.

M. K. Sen, On Г-semigroups, Proceedings of the International conference on Algebra and its application. Decker Publication, New York, New York (1981),301-308.

M. K. Sen and N. K. Saha, On Г-semigroup I, Bull. Calcutta Math. Soc. 78 (1986), no. 3, 180-186.

M. K. Sen and A. Seth, On po-Г-semigroups, Bull. Calcutta Math. Soc. 85 (1993), 445–450.

M. Shabir and A. Khan, Fuzzy filters in ordered semigroups, Lobachevskii Journal of Mathematics 2992 (2008), 82-89.

Sujith Kumar , Pavel Pal , Samith Kumar Majumder and Parimal Das , Atanassov ‘s intuitionistic fuzzy ideals of a po-Г-semigroup , Kragujevac Journal Of Mathematics , volume 37(1) (2013) , pages 87-101.

L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338–353.