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

Submit your paper
Know more
Reseach Article

Properties of Conjugate Fuzzy Matrices based on Reference Function

by Mamoni Dhar
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 116 - Number 3
Year of Publication: 2015
Authors: Mamoni Dhar
10.5120/20320-2391

Mamoni Dhar . Properties of Conjugate Fuzzy Matrices based on Reference Function. International Journal of Computer Applications. 116, 3 ( April 2015), 51-57. DOI=10.5120/20320-2391

@article{ 10.5120/20320-2391,
author = { Mamoni Dhar },
title = { Properties of Conjugate Fuzzy Matrices based on Reference Function },
journal = { International Journal of Computer Applications },
issue_date = { April 2015 },
volume = { 116 },
number = { 3 },
month = { April },
year = { 2015 },
issn = { 0975-8887 },
pages = { 51-57 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume116/number3/20320-2391/ },
doi = { 10.5120/20320-2391 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:58:03.456116+05:30
%A Mamoni Dhar
%T Properties of Conjugate Fuzzy Matrices based on Reference Function
%J International Journal of Computer Applications
%@ 0975-8887
%V 116
%N 3
%P 51-57
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this article, the conjugate of fuzzy matrices based on reference function and some of its properties are taken into consideration. In dealing with these, use the representation of fuzzy matrices with the help of reference function is considered. Thereafter, addition and multiplication are defined accordingly.

References
  1. Thomason, M. G. , Convergence of powers of a fuzzy matrix, Journal of Mathematical Analysis and Applications, 57, 476-480, Elsevier, 1977.
  2. Kim, J. B. , Determinant theory for Fuzzy and Boolean Matices, Congressus Numerantium Utilitus Mathematica Pub, 273-276, 1978.
  3. Ovehinnikov, S. V. , Structure of fuzzy relations, Fuzzy Sets and Systems, 6, 169-195, 1981.
  4. Kim, J. B. , Inverses of Boolean Matrices, Bull. Inst. Math. Acod, Science 12(2), 125-128, 1984.
  5. Kim, J. B. , Idempotents and Inverses in Fuzzy Matrices, Malayasian Math 6(2), Management Science, 1988.
  6. Kim, J. B. , and Baartmans. , Determinant Theory for Fuzzy Matrices, Fuzzy Sets and Systems, 29, 349-356, 1989.
  7. Baruah, H. K. , Theory of Fuzzy sets Beliefs and Realities, International Journal of Energy, Information and Communications, 2(2), 1-22, 2011.
  8. Dhar, M. , Representation of fuzzy matrices Based on Reference Function, International Journal of Intelligent systems and Applications, 5(2), 84-90, 2013.
  9. Dhar, M. , A Note on Determinant and Adjoint of Fuzzy Square Matrix , International Journal of Intelligent systems and Applications, 5(5), 58-67, 2013
  10. Dhar, M. , A note on Determinant of square fuzzy matrix, International Journal of Information Engineering and Electronic Business, 5(1),26-32, 2013
  11. Dhar, M. , A note on fuzzy relational matrices, International Journal of Intelligent systems and Applications, 5(10), 43-49, 2013.
  12. Dhar, M. , On Fuzzy Soft matrix based on reference function, International Journal of Information Engineering and Electronic Business, 5(2), 52-59, 2013.
Index Terms

Computer Science
Information Sciences

Keywords

Reference function fuzzy matrix conjugate fuzzy matrix determinant of fuzzy matrix transpose of fuzzy matrix.