International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2533

Full Length Research Paper

Characterizations of semi-groups that are semi-lattices of left groups

Madad Khan1, Saima Anis1, Saqib Hussain1, Usman Ashraf1 and Syed Tauseef Mohyud-Din2*
1Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan. 2HITEC University, Taxila Cantt, Pakistan
Email: [email protected]

  •  Accepted: 14 May 2013
  •  Published: 23 June 2013

Abstract

Zadeh in 1965 introduce the concept of a fuzzy set which now have a wide range of applications in various fields of Engineering Sciences, Computer Science and Management Sciences. It is worth mentioning here that for applications of fuzzy sets mostly associative algebraic structures are used such as in 2003, Mordeson, Malik and Kuroki have discovered the applications of fuzzy semigroups in fuzzy coding, fuzzy finite-state machines and fuzzy languages. We have applied fuzzy set theory to associative algebraic structures and have discussed related properties. Specifically we have characterized semigroups which are semilattices of left groups by the properties of generalized fuzzy ideals.

 

Key words: -fuzzy ideals, -fuzzy bi-ideals, -fuzzy quasi ideals.