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

Author

Listed:
  • Sujit Kumar Sardar

    (Jadavpur University)

  • Sarbani Goswami

    (Lady Brabourne College)

  • Y. B. Jun

    (Gyeongsang National University)

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.

Suggested Citation

  • Sujit Kumar Sardar & Sarbani Goswami & Y. B. Jun, 2012. "Role of operator semirings in characterizing Γ-semirings in terms of fuzzy subsets," Fuzzy Information and Engineering, Springer, vol. 4(3), pages 261-272, September.
    • Handle: RePEc:spr:fuzinf:v:4:y:2012:i:3:d:10.1007_s12543-012-0115-z
    DOI: 10.1007/s12543-012-0115-z
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