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

2011/01/25 by Sardar, Sujit Kumar, Jun, Y. B., Goswami, Sarbani
#03E72 #16Y60 #16Y99 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1101.4807

Abstract

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.

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