IJPAM: Volume 17, No. 2 (2004)

INTUITIONISTIC FUZZY THEORY OF
IDEALS IN GAMMA-NEAR-RINGS

Y.U. Cho$^1$, M.A. Öztürk$^2$, Y.B. Jun$^3$
$^1$Department of Mathematical Education
College of Education
Silla University
Pusan, 617-736, KOREA
e-mail: yucho@silla.ac.kr
$^2$Department of Mathematics
Faculty of Arts and Science
Cumhuriyet University
Sivas, 58140, TURKEY
e-mail: maozturk@bim.cumhuriyet.edu.tr
$^3$Department of Mathematical Education
Gyeongsang National University
Chinju, 660-701, KOREA
e-mail: ybjun@gsnu.ac.kr


Abstract.We introduce the notion of intuitionistic fuzzy ideals in $\Gamma$-near-rings, and then some basic properties are investigated. Characterizations of intuitionistic fuzzy ideals are given. Using a collection of ideals, an intuitionistic fuzzy ideal is established. The notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a $\Gamma$-near-ring are discussed.

Received: October 15, 2004

AMS Subject Classification: 16Y30, 16Y99, 03E72, 03F55

Key Words and Phrases: $\Gamma$-near-ring, intuitionistic fuzzy ideal

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 17
Issue: 2