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A Study on Some Basic Properties of Soft Multiset Operations

  • Balami, H. M.
  • Mshelia, D. W.
As a generalization of Molodtsov soft set, soft multiset theory was introduced and its basic operations such as union and intersection were defined. In this paper, we define the following operations: restricted intersection (⋒), restricted union (∪ ̃_R), extended intersection (∩ ̃_E), AND product (⋀ ̃), OR product (⋁ ̃), restricted difference (∼_R) and restricted symmetric difference (∆_R) on soft multiset with relevant examples. We also present the basic properties of the operations. Furthermore, we state and prove various De Morgan’s laws and inclusions in the background of soft multiset context with examples and illustrations.
Select Volume / Issue:
Year:
2019
Type of Publication:
Article
Keywords:
Soft Set; Soft Multiset; Operations; Parameter; Universe
Journal:
IJASM
Volume:
6
Number:
4
Pages:
98-119
Month:
July
ISSN:
2394-2894
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