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

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q-Rung Orthopair Fuzzy Sets

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Muhammad Riaz & Hafiz Muhammad Athar Farid

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  1. Muhammad Riaz
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  2. Hafiz Muhammad Athar Farid
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Correspondence to Muhammad Riaz .

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  1. Thapar Institute of Engineering and Technology, Patiala, Punjab, India

    Harish Garg

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Riaz, M., Athar Farid, H.M. (2022). q-Rung Orthopair Fuzzy Soft Set-Based Multi-criteria Decision-Making. In: Garg, H. (eds) q-Rung Orthopair Fuzzy Sets. Springer, Singapore. https://doi.org/10.1007/978-981-19-1449-2_18

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