Year 2021, Volume , Issue 35, Pages 32 - 47 2021-06-30

Intuitionistic Fuzzy Magnified Translation of PS-Algebra

Mohsin KHALİD [1] , Zafar IQBAL [2] , Rakib IQBAL [3]


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.
Intuitionistic fuzzy α-translation, intuitionistic fuzzy α-multiplication, intuitionistic fuzzy PS-ideal, intuitionistic fuzzy PS-subalgebra, intuitionistic fuzzy magnified βα-translation
  • L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
  • K. Iseki, S. Tanaka, An Introduction to the Theory of BCK-Algebras, Mathematica Japonica 23 (1978) 1-20.
  • K. Iseki, On BCI-Algebras, Mathematics Seminar Notes 8 (1980) 125-130.
  • 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.
  • 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.
  • 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.
  • T. Priya, T. Ramachandran, Classification of PS-Algebras, International Journal of Innovative Science, Engineering and Technology 1(7) (2014) 193-199.
  • S. Lekkoksung, On Fuzzy Magnifed Translation in Ternary Hemirings, International Mathematical Forum 7(21) (2012) 1021-1025.
  • T. Senapati, M. Bhowmik, M. Pal, Atanassov's Intuitionistic Fuzzy Translations of Intuitionistic Fuzzy H-Ideals in BCK/BCI-Algebras, Notes on Intuitionistic Fuzzy Sets 19(1) (2013) 32-47.
  • C. Jana, T. Senapati, M. Bhowmik, M. Pal, On Intuitionistic Fuzzy G-Subalgebras, Fuzzy Information and Engineering 7 (2015) 195-209.
  • T. Senapati, M. Bhowmik, M. Pal, B. Davvaz, Fuzzy Translations of Fuzzy H-Ideals in BCK/BCI-Algebras, Journal of the Indonesian Mathematical Society 21 (2015) 45-58.
  • K. T. Atanassov, Intuitionistic Fuzzy Sets Theory and Applications, Studies in Fuzziness and Soft Computing, Vol. 35, Physica-Verlag, Heidelberg, New York, 1999.
  • T. Senapati, Translation of Intuitionistic Fuzzy B-Algebras, Fuzzy Information and Engineering 7 (2015) 389-404.
  • Y. H. Kim, T. E. Jeong, Intuitionistic Fuzzy Structure of B-Algebras, Journal of Applied Mathematics and Computing 22 (2006) 491-500.
  • T. Senapati, C. S. Kim, M. Bhowmik, M. Pal, Cubic Subalgebras and Cubic Closed Ideals of B-Algebras, Fuzzy Information and Engineering 7 (2015) 129-149.
  • T. Senapati, M. Bhowmik, M. Pal, Fuzzy Dot Subalgebras and Fuzzy Dot Ideals of B-Algebras, Journal of Uncertain Systems 8 (2014) 22-30.
  • T. Priya, T. Ramachandran, Fuzzy Translation and Fuzzy Multiplication on PS-Algebras, International Journal of Innovation in Science and Mathematics 2(5) (2014) 485-489.
  • M. Chandramouleeswaran, P. Muralikrishna, S. Srinivasan, Fuzzy Translation and Fuzzy Multiplication in BF/BG-Algebras, Indian Journal of Science and Technology, 6 (9) (2013), 5216-5219.
  • Y. B. Jun, K. H. Kim, Intuitionistic Fuzzy Ideals in BCK-Algebras, International Journal of Mathematics and Mathematical Sciences 24(12) (2000) 839-849.
Primary Language en
Subjects Mathematics
Journal Section Research Article
Authors

Orcid: 0000-0003-2006-0054
Author: Mohsin KHALİD
Institution: University of Lahore
Country: Pakistan


Orcid: 0000-0002-6026-4732
Author: Zafar IQBAL (Primary Author)
Institution: University of Lahore
Country: Pakistan


Orcid: 0000-0003-0539-2755
Author: Rakib IQBAL
Institution: University of Lahore
Country: Pakistan


Dates

Publication Date : June 30, 2021

Bibtex @research article { jnt846542, journal = {Journal of New Theory}, issn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2021}, volume = {}, pages = {32 - 47}, doi = {10.53570/jnt.846542}, title = {Intuitionistic Fuzzy Magnified Translation of PS-Algebra}, key = {cite}, author = {Khalid, Mohsin and Iqbal, Zafar and Iqbal, Rakib} }
APA Khalid, M , Iqbal, Z , Iqbal, R . (2021). Intuitionistic Fuzzy Magnified Translation of PS-Algebra . Journal of New Theory , (35) , 32-47 . DOI: 10.53570/jnt.846542
MLA Khalid, M , Iqbal, Z , Iqbal, R . "Intuitionistic Fuzzy Magnified Translation of PS-Algebra" . Journal of New Theory (2021 ): 32-47 <https://dergipark.org.tr/en/pub/jnt/issue/63272/846542>
Chicago Khalid, M , Iqbal, Z , Iqbal, R . "Intuitionistic Fuzzy Magnified Translation of PS-Algebra". Journal of New Theory (2021 ): 32-47
RIS TY - JOUR T1 - Intuitionistic Fuzzy Magnified Translation of PS-Algebra AU - Mohsin Khalid , Zafar Iqbal , Rakib Iqbal Y1 - 2021 PY - 2021 N1 - doi: 10.53570/jnt.846542 DO - 10.53570/jnt.846542 T2 - Journal of New Theory JF - Journal JO - JOR SP - 32 EP - 47 VL - IS - 35 SN - 2149-1402- M3 - doi: 10.53570/jnt.846542 UR - https://doi.org/10.53570/jnt.846542 Y2 - 2021 ER -
EndNote %0 Journal of New Theory Intuitionistic Fuzzy Magnified Translation of PS-Algebra %A Mohsin Khalid , Zafar Iqbal , Rakib Iqbal %T Intuitionistic Fuzzy Magnified Translation of PS-Algebra %D 2021 %J Journal of New Theory %P 2149-1402- %V %N 35 %R doi: 10.53570/jnt.846542 %U 10.53570/jnt.846542
ISNAD Khalid, Mohsin , Iqbal, Zafar , Iqbal, Rakib . "Intuitionistic Fuzzy Magnified Translation of PS-Algebra". Journal of New Theory / 35 (June 2021): 32-47 . https://doi.org/10.53570/jnt.846542
AMA Khalid M , Iqbal Z , Iqbal R . Intuitionistic Fuzzy Magnified Translation of PS-Algebra. JNT. 2021; (35): 32-47.
Vancouver Khalid M , Iqbal Z , Iqbal R . Intuitionistic Fuzzy Magnified Translation of PS-Algebra. Journal of New Theory. 2021; (35): 32-47.
IEEE M. Khalid , Z. Iqbal and R. Iqbal , "Intuitionistic Fuzzy Magnified Translation of PS-Algebra", Journal of New Theory, no. 35, pp. 32-47, Jun. 2021, doi:10.53570/jnt.846542