Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

FUZZY INTERIOR $\Gamma$-IDEALS IN ORDERED $\Gamma$-SEMIGROUPS

  • Khan, Asghar (Department of Mathematics, COMSATS Institute of IT Abbottabad) ;
  • Mahmood, Tariq (Department of Mathematics, Govt. Post Graduate College Chakwal) ;
  • Ali, M. Irfan (Department of Mathematics, Islamabad Model Colleges)
  • 투고 : 2009.12.23
  • 심사 : 2010.05.24
  • 발행 : 2010.09.30
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초록

In this paper we define fuzzy interior $\Gamma$-ideals in ordered $\Gamma$-semigroups. We prove that in regular(resp. intra-regular) ordered $\Gamma$-semigroups the concepts of fuzzy interior $\Gamma$-ideals and fuzzy $\Gamma$-ideals coincide. We prove that an ordered $\Gamma$-semigroup is fuzzy simple if and only if every fuzzy interior $\Gamma$-ideal is a constant function. We characterize intra-regular ordered $\Gamma$-semigroups in terms of interior (resp. fuzzy interior) $\Gamma$-ideals.

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참고문헌

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