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Left almost semigroups characterized by their interval valued fuzzy ideals

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Abstract

In this paper, we introduce the concept of interval valued fuzzy LA-subsemigroups (left, right, two-sided, interior, bi-) ideals in LA-semigroups. Also we prove some results on direct product of interval valued fuzzy ideals in LA-semigroups.

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References

  1. Biswas R.: Rosenfeld’s fuzzy subgroups with interval valued membership functions. Fuzzy Sets Syst. 63, 87–90 (1994)

    Article  MATH  Google Scholar 

  2. Kazim M.A., Naseerudin M.: On almost-semigroup. Alig. Bull. Math. 2, 1–7 (1972)

    MATH  Google Scholar 

  3. Khan M., Ahmad N.: Characterizations of left almost semigroups by their ideals. J. Adv. Res. Pure Math. 2, 61–73 (2010)

    Article  MathSciNet  Google Scholar 

  4. Kuroki N.: On fuzzy ideals and fuzzy bi-ideals in semigroups. Fuzzy Sets Syst. 5, 203–215 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  5. Mushtaq Q., Yusuf S.M.: On LA-semigroups. Alig. Bull. Math. 8, 65–70 (1978)

    MathSciNet  MATH  Google Scholar 

  6. Mushtaq Q., Iqbal M.: Partial ordering and congruences on LA-semigroups. Indian J. Pure Appl. Math. 22, 331–336 (1991)

    MathSciNet  MATH  Google Scholar 

  7. Mushtaq Q., Khan M.: Direct product of Abel Grassmann’s groupoids. J. Interdiscip. Math. 11, 461–467 (2008)

    MathSciNet  MATH  Google Scholar 

  8. Mushtaq Q., Khan M.: M-systems in LA-semigroups. Southeast Asian Bull. Math. 33, 321–327 (2009)

    MathSciNet  MATH  Google Scholar 

  9. Narayanan A., Manikantan T.: Interval valued fuzzy ideals generated by an interval valued fuzzy subsets in semigroups. J. Appl. Math. Comput. 20, 455–464 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  10. Rosenfeld A.: Fuzzy groups. J. Math. Anal. Appl. 35, 512–517 (1971)

    Article  MathSciNet  MATH  Google Scholar 

  11. Yaqoob N.: Bipolar-valued fuzzy ideals in LA-semigroups. J. Adv. Stud. Topol. 3(1), 60–71 (2012)

    MathSciNet  Google Scholar 

  12. Yaqoob, N., Davvaz, B., Aslam, M., Ghareeb, A.: Interval valued intuitionistic fuzzy ideals in left almost semigroups (submitted)

  13. Yaqoob, N.: Interval valued intuitionistic fuzzy ideals of regular LA-semigroups (submitted)

  14. Zadeh L.A.: Fuzzy sets. Inform. Control 8, 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  15. Zadeh L.A.: The concept of a linguistic variable and its application to approximate reasoning I. Inform. Sci. 8, 199–249 (1975)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Naveed Yaqoob & Muhammad Aslam

  2. Department of Mathematics, Prince of Songkla University, Songkhla, Thailand

    Ronnason Chinram

  3. Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

    A. Ghareeb

Authors
  1. Naveed Yaqoob
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  2. Ronnason Chinram
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  3. A. Ghareeb
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  4. Muhammad Aslam
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Correspondence to Naveed Yaqoob.

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Yaqoob, N., Chinram, R., Ghareeb, A. et al. Left almost semigroups characterized by their interval valued fuzzy ideals. Afr. Mat. 24, 231–245 (2013). https://doi.org/10.1007/s13370-011-0055-5

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  • DOI: https://doi.org/10.1007/s13370-011-0055-5

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