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Priority Weighted Neutrosophic Refined Soft Set: A Multi-Criteria Decision-Making Approach
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Author(s): C. Antony Crispin Sweety (Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India), Sumathi I. R. (Department of Mathematics, Amrita School of Engineering, Coimbatore, India)and Aishwaryapriyadharshini G. (Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India)
Copyright: 2022
Pages: 37
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.ch035
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Abstract
This chapter devises a new concept of priority weighted neutrosophic refined soft set (PWNRSS) by combining neutrosophic refined sets and soft sets implemented with prioritized universal elements and weightage-imposed parameters. The concepts of PWNRS subset, PWNRS null set, and PWNRS universal set are defined. Based on the definitions of n-norm and n-co-norm, the theoretical operations of PWNRS sets such as union, intersection, and complement are defined. AND-product and OR-product between two priority-weighted neutrosophic refined soft sets are introduced. Furthermore, priority weights neutrosophic refined soft set is expanded to MCDM technique to handle decision-making issues. TOPSIS has been examined more thoroughly for the PWNRSS decision-making issue. This proposed method might be extremely valuable in large-scale decision-making situations. Numerical examples are also provided to demonstrate the methodologies' dependability and applicability.
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