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Research Article
 

A Generalization of Cartesian Product of Fuzzy Subgroups and Ideals



B.A. Ersoy
 
ABSTRACT

In this paper we generalize Malik and Mordeson’s paper (1991). I analysis the Cartesian product of fuzzy subgroups (ideals ) of different groups (different ideals). That is ; if μ and σ are fuzzy subgroups (ideals) of G1 and G2 (R1 and R2 ) respectively then μ x σ is a fuzzy subgroup (ideal) of G1 x G2 ( ). Conversely the opposite direction of the above statements is studied. We generalize above statements for different Groups (Rings).

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  How to cite this article:

B.A. Ersoy , 2003. A Generalization of Cartesian Product of Fuzzy Subgroups and Ideals. Journal of Applied Sciences, 3: 100-102.

DOI: 10.3923/jas.2003.100.102

URL: https://scialert.net/abstract/?doi=jas.2003.100.102

REFERENCES
Liu, W.J., 1982. Fuzzy invariant subgroups and fuzzy ideals. Fuzzy Sets Syst., 8: 133-139.
CrossRef  |  

Makil, D.S. and J.N. Mordeson, 1991. Fuzzy relations on rings and groups. Fuzzy Sets Syst., 43: 117-123.
Direct Link  |  

Rosenfeld, A., 1971. Fuzzy group. J. Math. Anal. Appl., 35: 512-517.

Zadeh, L.A., 1971. Silmilarity relations and fuzzy ordering. Inform. Sci., 3: 177-220.

Zadeh, L.A., 1965. Fuzzy sets. Inform. Control, 8: 338-353.
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