Research Article

Transitivity of generalized intuitionistic fuzzy matrices

Volume: 5 Number: 4 October 1, 2017
  • Riyaz Ahmad Padder *
  • P. Murugadas
EN

Transitivity of generalized intuitionistic fuzzy matrices

Abstract

 In this paper, generalized intuitionistic fuzzy matrices are considered as matrices over a special type of semiring which is called path algebra. We introduce the concept of transitivity of generalized intuitionistic fuzzy matrices. Some algebraic properties of generalized intuitionistic fuzzy matrices are developed. Also, we develop some properties of transitivity.

Keywords

References

  1. L. A. Zadeh, Fuzzy Sets, Journal of Information and Control, 8, (1965), 338-353.
  2. K. Atanassov, Intuitionistic Fuzzy Sets, VII ITKR’s Session, Sofia, June, 1983.
  3. K. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy sets and systems, 20, (1986), 87-96.
  4. M. G Thomason, Convergence of powers of a fuzzy matrix, J. Math. Anal. Appl, 57, (1977), 476-480.
  5. K. H. Kim and F. W. Roush, Generalized fuzzy matrices, Fuzzy sets and systems, 4, (1980), 293-315.
  6. D. Dubois and H. Prade, Fuzzy Sets and Systems, vol. 144 of Mathematics in Science and Engineering, Academic Press, New York, NY, USA, 1980.
  7. J. A. Goguen, L-fuzzy sets Journal of Mathematical Analysis and Applications, 18 (1967) 145-174.
  8. A. Kaufmann, Introduction to the Theory of Fuzzy Subsets, Academic Press, New York, NY, USA, 1975.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Riyaz Ahmad Padder * This is me
India

P. Murugadas This is me
India

Publication Date

October 1, 2017

Submission Date

August 18, 2016

Acceptance Date

November 25, 2016

Published in Issue

Year 2017 Volume: 5 Number: 4

APA
Padder, R. A., & Murugadas, P. (2017). Transitivity of generalized intuitionistic fuzzy matrices. New Trends in Mathematical Sciences, 5(4), 172-181. https://izlik.org/JA89HC44DT
AMA
1.Padder RA, Murugadas P. Transitivity of generalized intuitionistic fuzzy matrices. New Trends in Mathematical Sciences. 2017;5(4):172-181. https://izlik.org/JA89HC44DT
Chicago
Padder, Riyaz Ahmad, and P. Murugadas. 2017. “Transitivity of Generalized Intuitionistic Fuzzy Matrices”. New Trends in Mathematical Sciences 5 (4): 172-81. https://izlik.org/JA89HC44DT.
EndNote
Padder RA, Murugadas P (October 1, 2017) Transitivity of generalized intuitionistic fuzzy matrices. New Trends in Mathematical Sciences 5 4 172–181.
IEEE
[1]R. A. Padder and P. Murugadas, “Transitivity of generalized intuitionistic fuzzy matrices”, New Trends in Mathematical Sciences, vol. 5, no. 4, pp. 172–181, Oct. 2017, [Online]. Available: https://izlik.org/JA89HC44DT
ISNAD
Padder, Riyaz Ahmad - Murugadas, P. “Transitivity of Generalized Intuitionistic Fuzzy Matrices”. New Trends in Mathematical Sciences 5/4 (October 1, 2017): 172-181. https://izlik.org/JA89HC44DT.
JAMA
1.Padder RA, Murugadas P. Transitivity of generalized intuitionistic fuzzy matrices. New Trends in Mathematical Sciences. 2017;5:172–181.
MLA
Padder, Riyaz Ahmad, and P. Murugadas. “Transitivity of Generalized Intuitionistic Fuzzy Matrices”. New Trends in Mathematical Sciences, vol. 5, no. 4, Oct. 2017, pp. 172-81, https://izlik.org/JA89HC44DT.
Vancouver
1.Riyaz Ahmad Padder, P. Murugadas. Transitivity of generalized intuitionistic fuzzy matrices. New Trends in Mathematical Sciences [Internet]. 2017 Oct. 1;5(4):172-81. Available from: https://izlik.org/JA89HC44DT