MODULARITY OF AJMALFOR THE LATTICES OF FUZZY IDEALS OF A RING

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JAHAN E.

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Journal Paper

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Journal: Iranian Journal of Fuzzy Systems Year:2008 | Volume:5 | Issue:2 Page(s): 71-78

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Information Journal Paper

Title

MODULARITY OF AJMALFOR THE LATTICES OF FUZZY IDEALS OF A RING

Author(s)

JAHAN E. | Issue Writer Certificate

Keywords

ALGEBRAQ2

LATTICEQ2

MODULARITYQ2

IDEAL OF A RINGQ2

MORPHISMQ2

Abstract

In this paper, we construct two fuzzy sets using the notions of level subsets and strong level subsets of a given fuzzy set in a ring R. These fuzzy sets turn out to be identical and provide a universal construction of a fuzzy ideal generated by a given fuzzy set in a ring. Using this construction and employing the technique of strong level subsets, we provide the shortest and direct fuzzy set theoretic proof of the fact that the LATTICE J (R) of all fuzzy ideals of a ring R is modular.

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APA: Copy

JAHAN, E.. (2008). MODULARITY OF AJMALFOR THE LATTICES OF FUZZY IDEALS OF A RING. IRANIAN JOURNAL OF FUZZY SYSTEMS, 5(2), 71-78. SID. https://sid.ir/paper/113366/en

Vancouver: Copy

JAHAN E.. MODULARITY OF AJMALFOR THE LATTICES OF FUZZY IDEALS OF A RING. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2008;5(2):71-78. Available from: https://sid.ir/paper/113366/en

IEEE: Copy

E. JAHAN, “MODULARITY OF AJMALFOR THE LATTICES OF FUZZY IDEALS OF A RING,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 5, no. 2, pp. 71–78, 2008, [Online]. Available: https://sid.ir/paper/113366/en

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