Intuitionistic L-fuzzy sets and Intuitionistic N-fuzzy sets

Authors

  • Mujahid Abdullahi Department of Mathematical Sciences, Faculty of Science and Centre for Sustainable Nanomaterials, Universiti Teknologi Malaysia 81310 Skudai, Johor, Malaysia
  • Tahir Ahmad Department of Mathematical Sciences, Faculty of Science and Centre for Sustainable Nanomaterials, Universiti Teknologi Malaysia 81310 Skudai, Johor, Malaysia
  • Vinod Ramachandran Faculty of Business, Economics and Accounting HELP University, 50490 Kuala Lumpur, Malaysia

DOI:

https://doi.org/10.11113/mjfas.v14n1.973

Abstract

In this paper we prove that the concept of intuitionistic N-fuzzy sets (briefly INFS) proposed by Akram et al in [5] is equivalent to ILFS and it’s not a generalization of IFS we concluded that IFS, ILFS, INFS and L-fuzzy sets are all equivalent.

References

Davey, Brian A., and Hilary, A. Priestley. 2002. Introduction to Lattices and Order. Cambridge University Press.

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Goguen, Joseph, A. L-fuzzy sets. 1967. Journal of Mathematical Analysis and Applications, 18(1), 145-174.

Atanassov, Krassimir, T. Intuitionistic fuzzy sets. 1986. Fuzzy Sets and Systems, 20(1), 87-96.

Akram, M., Kavikumar, J., and Khamis, A. 2016. Intuitionistic N-fuzzy sets and its application in bit-ternary semigroups. Journal of Intelligent and Fuzzy System, 30(2), 951-960.

Guo-Jun, W., and Ying-Yu, H. 2000. Intuitionistic fuzzy sets and L-fuzzy sets. Fuzzy Sets and Systems 110(2), 271-274.

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Published

28-03-2018

Issue

Vol. 14 No. 1 (2018): January - March

Section

Article