International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Soft ordered Abel-Grassman's groupoid (AG-groupoid)

Tariq Shah1, Inayatur-Rehman1* and Asima Razzaque2      
1Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan 2Department of Mathematics, University of Education bank road campus Lahore, Pakistan  
Email: [email protected]

  •  Accepted: 15 September 2011
  •  Published: 23 October 2011


In 1999, Molodtsov developed the theory of soft sets involving enough parameters, which is relatively free from complexities when dealing with uncertainties. Most of the applications of soft sets towards algebraic structures stress on associativity of the binary operations (e.g., semigroups, groups, modules and rings etc.). In this study, we aim to apply Molodtsov's notion of soft sets to a class of non-associative algebraic structures and derive various related properties.


Key words: Ordered, Abel-Grassman's groupoid (AG-groupoid), soft sets, soft ordered AG-groupoids.