# Role of Operator Semirings in Characterizing Γ-semirings in Terms of Fuzzy Subsets

, Volume 4 (3): 12 – Sep 1, 2012
12 pages

## Role of Operator Semirings in Characterizing Γ-semirings in Terms of Fuzzy Subsets

Abstract

AbstractThe operator semirings of a Γ-semiring have been brought into use to study Γ-semiring in terms of fuzzy subsets. This is accomplished by obtaining various relationships between the set of all fuzzy ideals of a Γ-semiring and the set of all fuzzy ideals of its left operator semiring such as lattice isomorphism between the sets of fuzzy ideals of a Γ-semiring and its operator semirings.

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Publisher
Taylor & Francis
© 2012 Taylor and Francis Group, LLC
ISSN
1616-8666
eISSN
1616-8658
DOI
10.1007/s12543-012-0115-z
Publisher site
See Article on Publisher Site

### Journal

Fuzzy Information and EngineeringTaylor & Francis

Published: Sep 1, 2012

Keywords: Γ-semiring; Operator semiring; Fuzzy left(right) ideal; Fuzzy k -ideal; Γ-semifield

### References

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