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Pythagorean Fuzzy Soft Sets-Based MADM

In: Pythagorean Fuzzy Sets

Author

Listed:
  • Khalid Naeem

    (The University of Lahore, Department of Mathematics and Statistics)

  • Muhammad Riaz

    (University of the Punjab, Department of Mathematics)

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.

Suggested Citation

  • Khalid Naeem & Muhammad Riaz, 2021. "Pythagorean Fuzzy Soft Sets-Based MADM," Springer Books, in: Harish Garg (ed.), Pythagorean Fuzzy Sets, pages 407-442, Springer.
    • Handle: RePEc:spr:sprchp:978-981-16-1989-2_16
    DOI: 10.1007/978-981-16-1989-2_16
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