Abstract Compared to the intuitionistic fuzzy sets, Pythagorean sets (PFSs) can provide decision makers with more freedom express their evaluation information. There exist some research results on correlation coefficient between PFSs, but sometimes they fail deal problems of disease diagnosis and cluster analysis. To tackle drawbacks existing coefficients novel directional are put forward compu...

Recently, a new model based on Pythagorean fuzzy set (PFS) has been presented to manage the uncertainty in real-world decision-making problems. PFS has much stronger ability than intuitionistic fuzzy set to model such uncertainty. In this paper, we define some novel operational laws of PFSs and discuss their desirable properties. For the multicriteria decision-making problems with PFSs, we prop...

Abstract This article presents the circular Pythagorean fuzzy set (C-PFS) model, a generalization of intuitionistic model that improves its performance thanks to acclaimed extension sets sets. Then, we generalize C-PFSs produce novel disc (D-PFSs). The constituent elements both and D-PFSs are values, either with common or distinctive radius. We lay out some fundamental algebraic arithmetic oper...

In this paper we present a short but important summary of Pythagorean fuzzy sets. Especially we discuss several basic and important definitions of Pythagorean fuzzy sets, several operations on Pythagorean fuzzy sets, several algebraic laws of Pythagorean fuzzy sets. In the last we also present the concept of modal operators and normalization on Pythagorean fuzzy sets.

Suitable management and treatment of healthcare waste (HCW) have become a key issue due to its potential risk human health the environment, predominantly in emerging nations. The selection an optimal HCW (HCWT) option is complicated multicriteria decision-making (MCDM) problem that includes several incompatible qualitative quantitative attributes. This article presents extended MCDM methodology...

Pythagorean fuzzy sets provide stronger ability than intuitionistic fuzzy sets to model uncertainty information and knowledge, but little effort has been paid to conflict analysis of Pythagorean fuzzy information systems. In this paper, we present three types of positive, central, and negative alliances with different thresholds, and employ examples to illustrate how to construct the positive, ...

The construction of divergence measures between two Pythagorean fuzzy sets (PFSs) is significant as it has a variety applications in different areas such multicriteria decision making, pattern recognition and image processing. main purpose this study to introduce an information-theoretic so-called Jensen-Rényi (PFJRD) PFSs. strength characterization the proposed lie its practical which are very...

The paper presents a certain class of the mathematical models diagnostic information granules describing fuzzy symptoms-faults relationship. A retrieval system is described as an application expert system. Symptoms and faults are fuzzy, with some scaling symptom-fault concept pair values. These value pairs can be considered intuitionistic sets for space diagnosed objects. In this article, (n-Sc...

Interval-valued Pythagorean fuzzy sets (IVPFSs) as enhanced type of (PFSs) improve the expression degrees membership, non-membership and hesitancy in comparison with intuitionistic (IFSs). In this paper, to use advantages IVPFSs a new group decision-making method is introduced based on linear assignment (LAM). approach, subjective objective weights criteria are taken into account. Moreover, app...

The correlation coefficient between two variables is an important aspect of statistics. accuracy assessments relies on information from a set discourses. Data collected in statistical studies are often full exceptions. Pythagorean fuzzy soft sets (PFSS) parametrized family extended (PFS). They comprise generalization intuitionistic which may be used to accurately assess deficiencies and uncerta...