Article

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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