RETRACTED: Elementary Operations on L-R Fuzzy Number

Abdul Alim^1*, Fatema Tuj Johora², Shohel Babu², Abeda Sultana³

¹Mathematics, BGMEA University of Fashion and Technology, Dhaka, Bangladesh.
²Mathematics, IUBAT—International University of Business Agriculture and Technology, Dhaka, Bangladesh.
³Department of Mathematics, Jahanginagar University, Dhaka, Bangladesh.

DOI: 10.4236/apm.2015.53016                

Abstract

Short Retraction Notice

The paper does not meet the standards of "Advances in Pure Mathematics".

This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. The aim is to promote the circulation of scientific research by offering an ideal research publication platform with due consideration of internationally accepted standards on publication ethics. The Editorial Board would like to extend its sincere apologies for any inconvenience this retraction may have caused.

Editor guiding this retraction: Prof. Dexing Kong (EiC of APM)

The full retraction notice in PDF is preceding the original paper, which is marked "RETRACTED".

Keywords

Fuzzy Number, L-R Fuzzy Number, Membership Function

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Klir, G.J. and Yuan, B. (1995) Fuzzy Sets and Fuzzy Logic, Theory and Applications. Prentice Hall Inc., Upper Saddle River.
[2]	Dubis, D. and Prade, H. (1980) Fuzzy Sets and Systems, Theory and Applications. Academic Press, New York. http://www.jstor.org/stable/2030767
[3]	Zadeh, L.A. (1965) Fuzzy Sets. Information and Control, 8, 338-353. http://dx.doi.org/10.1016/S0019-9958(65)90241-X
[4]	Hanss, M. (2005) Applied Fuzzy Arithmetic—An Introduction with Engineering Applications. Springer-Verlag, Berlin Heidelberg.
[5]	Zimmermann, H.J. (1995) Fuzzy Set Theory and its Applications. Third Edition, Kluwer Academic Publishers, Boston.