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Rough Neutrosophic Multisets: Operations Over Rough Neutrosophic Multisets
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Author(s): Suriana Alias (Universiti Teknologi MARA, Malaysia), Daud Mohamad (Universiti Teknologi MARA, Malaysia)and Adibah Shuib (Universiti Teknologi MARA, Malaysia)
Copyright: 2022
Pages: 27
Source title:
Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Source Author(s)/Editor(s): Said Broumi (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco & Regional Center for the Professions of Education and Training (CRMEF), Casablanca-Settat, Morocco)
DOI: 10.4018/978-1-7998-7979-4.ch025
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Abstract
The effect of uncertainty in information raises human logical thinking due to many variabilities from expert decision making. The generalization of rough neutrosophic multisets theory tries to overcome this problem. The rough neutrosophic multisets allow the multiplicity of information represented by truth membership sequences, indeterminacy membership sequences, and falsity membership sequences. The lower and upper approximations belong to this triple membership sequence, making the information result more valuable since the relationship among this membership sequence makes sense. This chapter introduces the generalization of rough neutrosophic multisets with some operators and an illustrative example. The rough neutrosophic multisets basic operators, algebraic operators, and “AND” and “OR” operators are defined with some property propositions.
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