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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
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