Journal of Mathematics and Statistics

Multiparameterized Soft Set

Abdul Razak Salleh, Shawkat Alkhazaleh, Nasruddin Hassan and Abd Ghafur Ahmad

DOI : 10.3844/jmssp.2012.92.97

Journal of Mathematics and Statistics

Volume 8, Issue 1

Pages 92-97

Abstract

Problem statement: In 1999 Molodtsov introduced the concept of a soft set as a general mathematical tool for dealing with uncertainty. The solutions of such problems involve the use of mathematical principles based on uncertainty and imprecision. Approach: In this study we recall the definition of a soft set, its properties and its operations. Results: As a generalization of Molodtsov’s soft set we introduce the definition of a multiparameterized soft set and its basic operations, namely complement, union, intersection and OR. Conclusion: We give examples for these concepts. Basic properties of the operations are also given.

Copyright

© 2012 Abdul Razak Salleh, Shawkat Alkhazaleh, Nasruddin Hassan and Abd Ghafur Ahmad. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.