arXiv subjects

Sarbani Goswami

Publications and source records attributed to Sarbani Goswami.

2 recordsLinked to original sources

arXiv2011

Operations on fuzzy ideals of $Γ$-semirings

The purpose of this paper is to introduce different types of operations on fuzzy ideals of $Γ$-semirings and to prove subsequently that these oprations give rise to different structures such as complete lattice, modular lattice on some restricted class of fuzzy ideals of $Γ$-semirings. A characterization of a regular $Γ$-semiring has also been obtained in terms of fuzzy subsets.

math.GM↗

arXiv2011

Role of operator semirings in characterizing $Γ$-semirings in terms of fuzzy subsets

The 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.

math.GM↗