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# Role of operator semirings in characterizing \$\Gamma\$-semirings in terms of fuzzy subsets

Fuzzy Information and Engineering 01/2011; DOI: 10.1007/s12543-012-0115-z
Source: arXiv

ABSTRACT The operator semirings of a \$\Gamma\$-semiring have been brought into use to
study \$\Gamma\$-semiring in terms of fuzzy subsets. This is accomplished by
obtaining various relationships between the set of all fuzzy ideals of a
\$\Gamma\$-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
\$\Gamma\$-semiring and its operator semirings.

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##### Article: A realization of intuitionistic fuzzy ideals of semirings
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ABSTRACT: In this paper a correspondence between the set of all intuitionistic fuzzy ideals of a Γ-semiring and the set of all intuitionistic fuzzy ideals of its operator semirings is established and used them to study some properties of the semiring S_{2}.
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS. 03/2014; 7(3):529-542.