On Rough Convergence of Fuzzy Numbers based on α-level sets

Jump To References Section

Authors

  • Shyamal Debnath
     ,IN
  • Debjani Rakshit
     ,IN

DOI:

https://doi.org/10.18311/jims/2018/17869

Keywords:

Rough Convergence, Fuzzy Number, Limit Point.

Abstract

In this paper we have established some basic properties of rough convergence for fuzzy number sequences. Also introduce the set of rough limit points of a sequence of fuzzy number using α-level set and prove some results associated with this set.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Downloads

Published

2018-01-04

How to Cite

Debnath, S., & Rakshit, D. (2018). On Rough Convergence of Fuzzy Numbers based on α-level sets. The Journal of the Indian Mathematical Society, 85(1-2), 42–52. https://doi.org/10.18311/jims/2018/17869

Issue

Volume 85, Issue 1-2, January-June 2018

Section

Articles

License

Copyright (c) 2018 Shyamal Debnath, Debjani Rakshit

Creative Commons License

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

Crossref
Scopus
Google Scholar
Europe PMC
Received 2017-08-07
Accepted 2023-01-30
Published 2018-01-04

 

References

Akcay F. G. and Aytar S., Rough convergence of a sequence of fuzzy number, Bull.Math. Anal. Appl. 7(4) (2015) 17-23.

Aytar S., Rough statistical convergence, Numer. Funct. Anal. Optimiz. 29(3) (2008) 291-303.

Colak R., Altin Y. and Mursaleen M., On some sets of dierence sequences of fuzzy numbers, Soft Comput. 15(4) (2010) 787-793.

Kaleva O. and Seikkala S., On fuzzy metric Spaces, Fuzzy Sets and System 12 (1984) 215-229.

Matloka M., Sequence of fuzzy numbers, Busefal 28 (1986) 28-37.

Nanda S., On Sequences of fuzzy numbers, Fuzzy Sets and System 33(1) (1989) 123-126.

Pal S. K., Chandra D. and Dutta S., Rough ideal convergence, Hacet. J. Math. Stat. 42(6) (2013) 633-640.

Phu H. X., Rough convergence in normed linear spaces, Numer. Funct. Anal. Optimiz. 22(1-2) (2001) 199-222.

Puri M. L. and Ralescu D. A., Dierential of fuzzy numbers, J. Math. Anal. Appl. 91 (1983) 552-558.

Savas E., A note on sequence of fuzzy numbers, Inform. Sci. 124 (2000) 297-300.

Tripathy B. C. and Baruah A., New type of dierence sequence spaces of fuzzy real numbers, Math. Model. Anal. 14(3) (2009) 391-397.

Tripathy B. C. and Debnath S., On generalized dierence sequence spaces of fuzzy numbers, Acta Scientiarum Tech. 35(1) (2013) 117-121.

Zadeh L. A., Fuzzy sets, Inform. Control 8(3) (1965) 338-353.