CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Connected Perfect Domination of Interval-Valued Fuzzy Graphs

by Faisal M. AL-Ahmadi, Mahiuob M.Q. Shubatah, Yahya Qaid Hasan, Saqr H. Al-Emrany
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 184 - Number 22
Year of Publication: 2022
Authors: Faisal M. AL-Ahmadi, Mahiuob M.Q. Shubatah, Yahya Qaid Hasan, Saqr H. Al-Emrany
10.5120/ijca2022922246

Faisal M. AL-Ahmadi, Mahiuob M.Q. Shubatah, Yahya Qaid Hasan, Saqr H. Al-Emrany . Connected Perfect Domination of Interval-Valued Fuzzy Graphs. International Journal of Computer Applications. 184, 22 ( Jul 2022), 1-8. DOI=10.5120/ijca2022922246

@article{ 10.5120/ijca2022922246,
author = { Faisal M. AL-Ahmadi, Mahiuob M.Q. Shubatah, Yahya Qaid Hasan, Saqr H. Al-Emrany },
title = { Connected Perfect Domination of Interval-Valued Fuzzy Graphs },
journal = { International Journal of Computer Applications },
issue_date = { Jul 2022 },
volume = { 184 },
number = { 22 },
month = { Jul },
year = { 2022 },
issn = { 0975-8887 },
pages = { 1-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume184/number22/32446-2022922246/ },
doi = { 10.5120/ijca2022922246 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:22:06.761473+05:30
%A Faisal M. AL-Ahmadi
%A Mahiuob M.Q. Shubatah
%A Yahya Qaid Hasan
%A Saqr H. Al-Emrany
%T Connected Perfect Domination of Interval-Valued Fuzzy Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 184
%N 22
%P 1-8
%D 2022
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In interval-valued fuzzy graphs, the connected perfect dominating set and connected perfect domination number are introduced in this paper. For standard theorems and results, as well as some examples, we compute the connected perfect domination number ?cp(G) and the upper connected perfect domination number ?cp(G). The upper and lower bounds for the connected perfect domination number in interval-valued fuzzy graphs are derived using some other known parameters. Finally, some of the properties of connected perfect domination of intervalvalued fuzzy graphs, as well as their various results are discussed.

References
  1. M. Akram and W. A. Dudek, ”Interval-valued fuzzy graphs”, Cmput. Math. Appl. 61, (2011), 289-299.
  2. F. M. Al-Ahmadi and Mahiuob M. Q. Shubatah. Perfect dominating set of an interval-valued fuzzy graphs, Asian Journal of Probability and Statistics, 11(4), (2021), 35-46.
  3. F. M. Al-Ahmadi and Mahiuob M. Q. Shubatah. Connected dominating set in interval-valued fuzzy graphs, IJRDO Journal of Mathematics, 8(2), (2022), 1-9.
  4. Faisal M. Al-Ahmadi, Mahiuob M. Q. Shubatah and Yahya Q. Hasan. Total perfect domination of interval-valued fuzzy graphs, IJRDO Journal of Mathematics, 8(2), (2022), 1-32.
  5. P. Debnath, Domination in interval-valued fuzzy graphs, Annals of Fuzzy Mathematics and Informatics. 6(2), (2013), 363- 370.
  6. M. Naga Maruthi Kumari and R. Chandrasekhar, ”Operations on interval-valued fuzzy graphs”, IJARSE; 4(4), (2015), 618- 627.
  7. H. Rashmanlou and Y. B. Jun, Complete interval valued Fuzzy graphs, Annals of Fuzzy Mathematics and Informatics, 3(1), (2013), 107-130.
  8. S.Revathi, P.J.Jayalakshmi, C.V.R.Harinarayanan Perfect Dominating Sets in fuzzy graphs IOSR Journal of Mathematics, 8(3), (2013), 43-47.
  9. S.Revathi, R. Muthuraj and C.V.R.Harinarayanan Connected Perfect Dominating Sets in fuzzy graph Golden Research thoughts, Vol-5. (2015), 1-5.
  10. A. Rosenfeld, Fuzzy graphs, In. L. A. Zadeh, K. S. Fu and M. Shimura, (Eds). ”Fuzzy Sets and their Applications”, Academic Press, New York, (1975), 77-95.
  11. N. Sarala, P. Janaki, Connected domination number of fuzzy digraphs, research article IJSRR, 8(2), (2019), 4096-4100.
  12. N. Sarala, T. Kavitha, Complete and Complementary Domination Number in Interval Valued Fuzzy Graphs. IJSR, 5 (2016), 2046-2050.
  13. N. Sarala, T. Kavitha, Strong (Weak) Domination in Interval Valued Fuzzy Graph. Discovery, 52(248), (2016), 1626-1634.
  14. A. Somasundaram, S. Somasundaran, ”Domination in fuzzy graphs-I”, Pattern Recognition Letters, 19, (1998), 787-791.
  15. A. Somasundaram, ”Domination in fuzzy graphs-II”, Journal of Fuzzy Mathematics, 20, (2000), 281-289. L. A. Zadeh, The concept of a linguistic and application to approximate reasoning I, Inform. Sci. 8, (1975), 149-249.
Index Terms

Computer Science
Information Sciences

Keywords

Interval-valued fuzzy graph connected dominating set perfect dominating set connected perfect dominating set

Powered by PhDFocusTM