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

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Fuzzy Information and Engineering

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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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Sujit Kumar Sardar

  2. Lady Brabourne College, Kolkata, W.B., India

    Sarbani Goswami

  3. Department of Mathematics Education, Gyeongsang National University, Chinju, 660-701, Korea

    Y. B. Jun

Authors
  1. Sujit Kumar Sardar
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  2. Sarbani Goswami
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  3. Y. B. Jun
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Corresponding authors

Correspondence to Sujit Kumar Sardar, Sarbani Goswami or Y. B. Jun.

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Sardar, S.K., Goswami, S. & Jun, Y.B. Role of operator semirings in characterizing Γ-semirings in terms of fuzzy subsets. Fuzzy Inf. Eng. 4, 261–272 (2012). https://doi.org/10.1007/s12543-012-0115-z

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  • DOI: https://doi.org/10.1007/s12543-012-0115-z

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