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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Multiparameterized Soft Set

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

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.

Journal of Mathematics and Statistics
Volume 8 No. 1, 2012, 92-97

DOI: https://doi.org/10.3844/jmssp.2012.92.97

Submitted On: 3 June 2011 Published On: 7 February 2012

How to Cite: Salleh, A. R., Alkhazaleh, S., Hassan, N. & Ahmad, A. G. (2012). Multiparameterized Soft Set. Journal of Mathematics and Statistics, 8(1), 92-97. https://doi.org/10.3844/jmssp.2012.92.97

Open AccessCopyright: © 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.

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Keywords

  • Soft set
  • multisoft set
  • basic operations
  • basic properties