Neutrosophic Set Approach for Characterizations of Left Almost Semigroups


  • Madad Khan Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
  • Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
  • Sania Afzal Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus Pakistan


Neutrosophic LA-semigroup; neutrosophic intra-regular LA-semigroup; neutrosophic left invertive law; neutrosophic ideal., Neutrosophic LA-semigroup, neutrosophic intra-regular LA-semigroup, neutrosophic left invertive law, neutrosophic ideal


In this paper we have defined neutrosophic ideals, neutrosophic interior ideals, netrosophic quasi-ideals and neutrosophic bi-ideals (neutrosophic generalized bi-ideals) and proved some results related to them. Furthermore, we have done some characterization of a neutrosophic LA-semigroup by the properties of its neutrosophic ideals. It has been proved that in a neutrosophic intra-regular LA-semigroup neutrosophic left, right, two-sided, interior, bi-ideal, generalized bi-ideal and quasi-ideals coincide and we have also proved that the set of neutrosophic ideals of a neutrosophic intra-regular LA-semigroup forms a semilattice structure.


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How to Cite

Madad Khan, Smarandache, F., & Afzal, . S. . (2016). Neutrosophic Set Approach for Characterizations of Left Almost Semigroups. Neutrosophic Sets and Systems, 11, 79-94. Retrieved from