Research Article

Intuitionistic Fuzzy Magnified Translation of PS-Algebra

Number: 35 June 30, 2021
EN

Intuitionistic Fuzzy Magnified Translation of PS-Algebra

Abstract

In this paper, the concepts of intuitionistic fuzzy α-translation (IFAT), intuitionistic fuzzy α-multiplication (IFAM), and intuitionistic fuzzy magnified βα-translation (IFMBAT) are introduced in the setup of PS-algebra. Some properties of PS-ideal and PS-subalgebra are investigated by applying the concepts of IFAT, IFAM, and IFMBAT. Intersection and union of intuitionistic fuzzy PS-ideals are explained through results and examples.

Keywords

References

  1. L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
  2. K. Iseki, S. Tanaka, An Introduction to the Theory of BCK-Algebras, Mathematica Japonica 23 (1978) 1-20.
  3. K. Iseki, On BCI-Algebras, Mathematics Seminar Notes 8 (1980) 125-130.
  4. K. J. Lee, Y. B. Jun, M. I. Doh, Fuzzy Translations and Fuzzy Multiplications of BCK/BCI-Algebras, Communications of the Korean Mathematical Society 24(3) (2009) 353-360.
  5. M. A. A. Ansari, M. Chandramouleeswaran, Fuzzy Translations of Fuzzy β-Ideals of β-Algebras, International Journal of Pure and Applied Mathematics 92(5) (2014) 657-667.
  6. T. Priya, T. Ramachandran, A Note on Fuzzy PS-Ideals in PS-Algebra and Its Level Subsets, International Journal of Advanced Mathematical Sciences 2(2) (2014) 101-106.
  7. T. Priya, T. Ramachandran, Classification of PS-Algebras, International Journal of Innovative Science, Engineering and Technology 1(7) (2014) 193-199.
  8. S. Lekkoksung, On Fuzzy Magnifed Translation in Ternary Hemirings, International Mathematical Forum 7(21) (2012) 1021-1025.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

July 11, 2019

Acceptance Date

June 4, 2021

Published in Issue

Year 2021 Number: 35

APA
Khalid, M., Iqbal, Z., & Iqbal, R. (2021). Intuitionistic Fuzzy Magnified Translation of PS-Algebra. Journal of New Theory, 35, 32-47. https://doi.org/10.53570/jnt.846542
AMA
1.Khalid M, Iqbal Z, Iqbal R. Intuitionistic Fuzzy Magnified Translation of PS-Algebra. JNT. 2021;(35):32-47. doi:10.53570/jnt.846542
Chicago
Khalid, Mohsin, Zafar Iqbal, and Rakib Iqbal. 2021. “Intuitionistic Fuzzy Magnified Translation of PS-Algebra”. Journal of New Theory, nos. 35: 32-47. https://doi.org/10.53570/jnt.846542.
EndNote
Khalid M, Iqbal Z, Iqbal R (June 1, 2021) Intuitionistic Fuzzy Magnified Translation of PS-Algebra. Journal of New Theory 35 32–47.
IEEE
[1]M. Khalid, Z. Iqbal, and R. Iqbal, “Intuitionistic Fuzzy Magnified Translation of PS-Algebra”, JNT, no. 35, pp. 32–47, June 2021, doi: 10.53570/jnt.846542.
ISNAD
Khalid, Mohsin - Iqbal, Zafar - Iqbal, Rakib. “Intuitionistic Fuzzy Magnified Translation of PS-Algebra”. Journal of New Theory. 35 (June 1, 2021): 32-47. https://doi.org/10.53570/jnt.846542.
JAMA
1.Khalid M, Iqbal Z, Iqbal R. Intuitionistic Fuzzy Magnified Translation of PS-Algebra. JNT. 2021;:32–47.
MLA
Khalid, Mohsin, et al. “Intuitionistic Fuzzy Magnified Translation of PS-Algebra”. Journal of New Theory, no. 35, June 2021, pp. 32-47, doi:10.53570/jnt.846542.
Vancouver
1.Mohsin Khalid, Zafar Iqbal, Rakib Iqbal. Intuitionistic Fuzzy Magnified Translation of PS-Algebra. JNT. 2021 Jun. 1;(35):32-47. doi:10.53570/jnt.846542

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