SINGH’S PERSPECTIVE ON MULTISET THEORY - A CONSERVATIVE EXTENSION OF STANDARD SET THEORY

  • Chinedu Peter Federal University Dutsin-Ma
  • Balarabe Abdullahi Federal University Dutsin-Ma
Keywords: Cardinality, Dressed epsilon, Set, Singh, Multiset

Abstract

In this paper, we demonstrate that Singh’s approach to defining membership—through its novel yet underutilized notation—allows for a seamless and unambiguous analysis of multisets alongside their set counterparts. This stands in contrast to the widely used cardinality-based approach prevalent in existing literature. The Singh’s dressed epsilon approach () provides a membership-based way of handling multisets, in contrast to the cardinality-based approach that relies on counting functions (Cm(x)) or M(x)).

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Published
2025-04-30
How to Cite
Peter, C., & Abdullahi, B. (2025). SINGH’S PERSPECTIVE ON MULTISET THEORY - A CONSERVATIVE EXTENSION OF STANDARD SET THEORY. FUDMA JOURNAL OF SCIENCES, 9(4), 74 - 77. https://doi.org/10.33003/fjs-2025-0904-3309