On Interval Valued Intuitionistic(S,T)-fuzzy Hv-ideals

Authors

  • Arvind Kumar Sinha  Department of Mathematics, NIT Raipur, Chhattisgarh, India
  • Manoj Kumar Dewangan  Department of Mathematics, NIT Raipur, Chhattisgarh, India

Keywords:

Hv -ideal, interval valued intuitionistic (S, T)-fuzzy Hv -ideal, interval valued intuitionistic (S, T)-fuzzy ideal

Abstract

Atanassov introduced the concept of the interval valued intuitionistic fuzzy sets. By using this we introduce the notion of interval valued intuitionistic - Hv fuzzy -ideals of an Hv -ring with respect to a t-norm T and an s-norm S. Also some of their characteristic properties are described. The homomorphic image and the inverse image are investigated.

References

[1] Marty F., Sur une generalization de la notion de group, in: 8th congress Math. Skandenaves, Stockhole, (1934) 45-49.

[2] Vougiouklis T., A new class of hyperstructures, J. Combin. Inf.  System Sci.      

[3] Davvaz B., A brief survey of the theory of Hv-structures, in: Proceedings of the 8th                   International Congress on AHA, Greece 2002,Spanids Press, (2003) 39-70.

[4] Zadeh L. A., Fuzzy sets, Inform. And Control 8 (1965) 338-353.

[5] Atanassov K.T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986) 87-96.

[6] Atanassov K. T., Intuitionistic fuzzy sets: Theory and Applications, Studies in fuzziness and soft computing, 35, Heidelberg, New York, Physica-Verl., 1999.

[7] Atanassov K. T., New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and  Systems 61, (1994) 137-142.

[8] Biswas R., Intuitionistic fuzzy subgroups, Math. Forum 10 (1989) 37-46.

[9] Kim K. H., Dudek W. A., Jun Y. B., On intuitionistic fuzzy subquasigroups of quasigroups, Quasigroups Relat Syst 7 (2000) 15-28.

[10] Kim K. H., Jun Y. B., Intuitionistic fuzzy ideals  of semigroups, Indian J. Pure Appl. Math. 33 (4) (2002) 443-449.

[11] Zhan J., Dudek W. A., Interval Valued Intuitionistic -fuzzy  -submodules, Acta Mathematica Sinica, Englsh series 22 (2006) 963-970.

[12] Davvaz B., Dudek W. A., Jun Y. B., Intuitionistic fuzzy Hv–submodules, Inform. Sci. 176 (2006) 285-300.

[13] Vougiouklis T., Hyperstructures and their representations, Hadronic Press, Florida, 1994.

[14] Davvaz B., Fuzzy Hv-groups, Fuzzy Sets and Systems 101 (1999) 191-195.

[15] Sinha A. K., Dewangan M. K., Intuitionistic Fuzzy Hv-subgroups, International Journal of Advanced Engineering Research and Science 3 (2014) 30-37.

[16] Davvaz B., Dudek W. A., Intuitionistic fuzzy Hv–ideals, International Journal of Mathematics and Mathematical Sciences,  2006, 1-11.

[17] Zhan J., Davvaz B., Corsini P., Intuitionistic -fuzzy hyperquasigroups, Soft Comput 12 (2008) 1229-1238.

[18] Davvaz B., Fuzzy Hv-submodules, Fuzzy Sets and Systems 117 (2001) 477-484.

International Journal of Scientific Research in Science, Engineering and Technology

Downloads

Published

2015-04-25

Issue

Volume 1, Issue 2, March-April-2015

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Arvind Kumar Sinha, Manoj Kumar Dewangan, " On Interval Valued Intuitionistic(S,T)-fuzzy Hv-ideals, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 1, Issue 2, pp.43-48, March-April-2015.