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Pythagorean Fuzzy Soft Sets-Based MADM

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Pythagorean Fuzzy Sets

Abstract

Modern set theory offers intelligent, unbiased, and comprehensive solutions to many problems faced by human beings in day-to-day life. Most of the extensively held problems from daily life involve uncertainties, imprecision, and vagueness. Fuzzy sets, introduced by Zadeh and soft sets, introduced by Molodstov are significant mathematical models to cope with such uncertainties and imprecision present in the data. These models have their own deficiencies, especially regarding loss of information. We present Pythagorean fuzzy soft sets (PFSSs) as a hybrid structure of fuzzy sets and soft sets, in this chapter. Some notions related to PFSSs along with their algebraic properties are brought into light. We elaborate the notions presented with real-life examples and tabular representations to develop the affluence of linguistic variables based on Pythagorean fuzzy soft (PFS) information. We present practical implementations of PFSSs in multi-attribute decision-making (MADM) problems from daily life using choice value method, “Technique for Order of Preference by Similarity to Ideal Solution” (TOPSIS), “Vlse Kriterijumska Optimizacija Kompromisno Resenje” (VIKOR) and similarity measures.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

    Khalid Naeem

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

    Muhammad Riaz

Authors
  1. Khalid Naeem
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  2. Muhammad Riaz
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Correspondence to Khalid Naeem .

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Editors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Patiala, Punjab, India

    Harish Garg

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Naeem, K., Riaz, M. (2021). Pythagorean Fuzzy Soft Sets-Based MADM. In: Garg, H. (eds) Pythagorean Fuzzy Sets. Springer, Singapore. https://doi.org/10.1007/978-981-16-1989-2_16

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