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A Survey on Recent Applications of Pythagorean Fuzzy Sets: A State-of-the-Art Between 2013 and 2020 Read chapter Read first chapter

2021 | OriginalPaper | Chapter

Pythagorean Fuzzy Soft Sets-Based MADM

Authors : Khalid Naeem, Muhammad Riaz

Published in: Pythagorean Fuzzy Sets

Publisher: Springer Singapore

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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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previous chapter Extensions of Linguistic Pythagorean Fuzzy Sets and Their Applications in Multi-attribute Group Decision-Making
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Metadata
Title
Pythagorean Fuzzy Soft Sets-Based MADM
Authors
Khalid Naeem
Muhammad Riaz
Copyright Year
2021
Publisher
Springer Singapore
Book
Pythagorean Fuzzy Sets

Print ISBN: 978-981-16-1988-5

Electronic ISBN: 978-981-16-1989-2

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-981-16-1989-2_16

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