q-Rung Orthopair Fuzzy Soft Set-Based Multi-criteria Decision-Making

Muhammad Riaz () and Hafiz Muhammad Athar Farid ()
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Muhammad Riaz: University of the Punjab, Department of Mathematics
Hafiz Muhammad Athar Farid: University of the Punjab, Department of Mathematics

Chapter Chapter 18 in q-Rung Orthopair Fuzzy Sets, 2022, pp 465-503 from Springer

Abstract: Abstract In this chapter, we develop a hybrid structure named as “q-rung orthopair fuzzy soft sets” (q-ROFSSs) by combining the features of Yager’s “q-rung orthopair fuzzy sets” (q-ROFSs) and Molodtsov’s soft sets. Certain new concepts of q-ROFSSs theory including algebraic features on these sets are proposed. The significance of linguistic variables in q-ROFSS information is discussed and extended towards real-life circumstances. Mathematical models for “multi-criteria decision-making” (MCDM) problems based on q-ROFSS information are developed by using four different techniques including, “Technique for Order of Preference by Similarity to Ideal Solution” (TOPSIS), “Vlse Kriterijumska Optimizacija Kompromisno Resenje” (VIKOR), “choice value method”, and new similarity measures (SMs). Additionally, a practical application of proposed MCDM approaches is presented related to appropriate persons for key ministries in a government, selection of agriculture land and COVID-19.

Keywords: TOPSIS; VIKOR; COVID-19; Similarity measures; Medical diagnosis; Agriculture land selection; q-rung orthopair fuzzy soft information (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-19-1449-2_18

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DOI: 10.1007/978-981-19-1449-2_18

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