Some Characteristics Of Picture Fuzzy Subgroups Via Cut Set Of Picture Fuzzy Set

Authors

  • Taiwo Olubunmi Sangodapo Department of Mathematics, Faculty of Science (University of Ibadan, Oyo State, Nigeria)
  • Babatunde Oluwaseun Onasanya Department of Mathematics, Faculty of Science (University of Ibadan, Oyo State, Nigeria)

DOI:

https://doi.org/10.23755/rm.v42i0.849

Keywords:

fuzzy set, picture fuzzy set, picture fuzzy subgroup, cut set

Abstract

Given any picture fuzzy set Q of a universe Y , the set Cr,s,t(Q) called the (r, s, t)-cut set of Q was studied. In this paper, some characteristics of picture fuzzy subgroup of a group are obtained via the cut sets of picture fuzzy set.

References

K.T. Atanassov. Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 20, 1986, 87-96.

K.T. Atanassov. More on Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 33, 1989, 37-45.

K.T. Atanassov. New Operations defined over the Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 61(2), 1994, 137-142.

K. T. Atanassov. Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, New York, 1999.

B.C. Couong and V. Kreinovich. Picture Fuzzy Sets-a new concept for Computational intelligence problems. Proceeding of the Third World Congress on Information and Communication Technologies, 2013, 1-6.

B.C. Couong. Picture Fuzzy Sets. Journal of Computer Science and Cybernetics, 30(4), 2014, 409-420.

B.C. Couong. Pythagorean Picture Fuzzy Sets, Part 1-Basic Notions. Journal of Computer Science and Cybernetics, 35(4), 2019, 293-304.

B.C. Couong and P.V. Hai. Some Fuzzy Logic Operators for Picture Fuzzy Sets. Seventh International Conference on Knowledge and Systems Engineering, 2015, 132-137.

B.C. Couong, R.T. Ngan and B.D. Hai. Picture Fuzzy Sets. Seventh International Conference on Knowledge and Systems Engineering, 2015, 126-131.

B.C. Couong, V. Kreinovich and R.t. Ngan. A Classification of Representable t-norm Operators for Picture Fuzzy Sets. Eighth International Conference on Knowledge and Systems Engineering, 2016.

S. Dogra and M. Pal. Picture Fuzzy Subgroup. Kragujevac Journal of Mathematics, 47(6), 2023, 911-933.

P. Dutta and S. Ganju. Some Aspect of Picture Fuzzy Sets. AMSE JOURNAL AMSE IIETA, 54(1), 2017, 127-141.

B.O. Onasanya, S. Wen, Y. Feng, W. Zhang and J. Xiong. Fuzzy Coefficient of Impulsive Intensity in a Non-Linear Control System. Neural Processing Letter, 53(6), 2021, 4639-4657.

H. Garg. Some Picture Fuzzy Aggregation Operators and their Applications to multicriteria Decision-Making. Arabian Journal for Science and Engineering, 42(12), 2017, 5275-5290.

M.K. Eze and B.O. Onasanya. Case Studies on Application of Fuzzy Linear Programming in Decision-Making. Ratio Mathematica, 35, 2018, 29-45.

A. Rosenfeld. Fuzzy group. Journal of Mathematical Annalysis and Applications, 35(3), 1971, 512-517.

T.O. Sangodapo. Some Notions on Convexity of Picture Fuzzy Sets. Journal of Mathematical Annalysis and Applications, 2022.

L.A. Zadeh. The concept of a linguistic variable and its application to approximate reasoning. Information Science, I, 1975, 338-353.

Downloads

Published

2022-06-30

Issue

Vol. 42 (2022)

Section

Volume 42-2022

License

This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:

  • Free access for all users worldwide
  • Increased visibility and readership
  • Rapid publication
  • No spatial constraints
  • Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)

Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified. 
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.