CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
SFLA-Based Line Balancing and Task Optimization in Master-Slave Controlled Hanger Transportation Systems for Garment Production

Duc Hoang Nguyen
Random Articles
Reseach Article

Fuzzy Medial Ideals of BCI-Algebras with Interval-Valued Membership Function

by S. M.mostafa, A. E. Radwan, A. M. Menshawy, R. Ghanem
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 109 - Number 2
Year of Publication: 2015
Authors: S. M.mostafa, A. E. Radwan, A. M. Menshawy, R. Ghanem
10.5120/19162-0611

S. M.mostafa, A. E. Radwan, A. M. Menshawy, R. Ghanem . Fuzzy Medial Ideals of BCI-Algebras with Interval-Valued Membership Function. International Journal of Computer Applications. 109, 2 ( January 2015), 24-31. DOI=10.5120/19162-0611

@article{ 10.5120/19162-0611,
author = { S. M.mostafa, A. E. Radwan, A. M. Menshawy, R. Ghanem },
title = { Fuzzy Medial Ideals of BCI-Algebras with Interval-Valued Membership Function },
journal = { International Journal of Computer Applications },
issue_date = { January 2015 },
volume = { 109 },
number = { 2 },
month = { January },
year = { 2015 },
issn = { 0975-8887 },
pages = { 24-31 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume109/number2/19162-0611/ },
doi = { 10.5120/19162-0611 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:43:45.373398+05:30
%A S. M.mostafa
%A A. E. Radwan
%A A. M. Menshawy
%A R. Ghanem
%T Fuzzy Medial Ideals of BCI-Algebras with Interval-Valued Membership Function
%J International Journal of Computer Applications
%@ 0975-8887
%V 109
%N 2
%P 24-31
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper the notion of interval–valued Fuzzy medial-ideals (briefly i-v fuzzy medial -ideal) in BCI-algebras is introduced. Several theorems are stated and proved. The image and pre-image of interval–valued fuzzy medial -ideals are defined and how the homomorphic images and pre-images of interval–valued fuzzy medial -ideals become interval–valued fuzzy medial -ideals in BCI-algebras is studied as well.

References
  1. R. Biswas, Rosenfeld's fuzz subgroups with interval valued membership function, Fuzzy Sets and Systems 63 (1994), No. 1 87-90.
  2. M. Abe and K. Iseki, A survey on BCK and BCI algebras, Congresso de Logica Aplicada Techologia, LAPTEC 2000, 431-443. Festschrift in Hornor of Gabriel Thierrin, World Sci. (2001), 231-238.
  3. K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japon. 23(1978), 1-26.
  4. K. Iseki, On BCI-algebras, Math. Sem. Notes 8 (1980) 125-130.
  5. Y. Imai and K. Iseki: On axiom systems of Propositional calculi, XIV, Proc. Japan Acad. Ser A, Math Sci. , 42(1966),19-22.
  6. Y. Bae Jun , VALUED FUZZY SUBALGEBRAS/IDEALS IN BCK-ALGEBRAS . Scientiae Mathematicae Vol. 3, No. 3(2000), 435{444
  7. J. Meng and Y. B. Jun, Notes on medial BCI-algebras, Comm. Korean Math. Soc. 8(1) (1993),33-37.
  8. S. M. Mostafa, Y. B. Jun and A. El-menshawy, Fuzzy medial ideals in BCI-algebras, fuzzy math. , vol. 7, no. 2,1999, pp445-457.
  9. O. G. Xi, Fuzzy BCK-algebras, Math. Japon. 36(5) (1991), 935-942.
  10. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353.
  11. L. A. Zadeh The concept of a linguistic variable and its application to approximate reasoning. I, Information Sci. 8 (1975), 199–249. MR 52#7225a. Zbl 397. 68071.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy medial-ideals- interval valued fuzzy medial-ideals- images and pre- images of interval valued fuzzy medial-ideals

Powered by PhDFocusTM