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

Sujit Kumar Sardar (), Sarbani Goswami () and Y. B. Jun ()
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Sujit Kumar Sardar: Jadavpur University
Sarbani Goswami: Lady Brabourne College
Y. B. Jun: Gyeongsang National University

Fuzzy Information and Engineering, 2012, vol. 4, issue 3, 261-272

Abstract: 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.

Keywords: Γ-semiring; Operator semiring; Fuzzy left(right) ideal; Fuzzy k-ideal; Γ-semifield (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s12543-012-0115-z

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