New similarity and distance measures of Pythagorean fuzzy sets and its application to selection of advertising platforms

2021 ◽  
pp. 1-17
Author(s):  
Jing Li ◽  
Lingling Wen ◽  
Guiwu Wei ◽  
Jiang Wu ◽  
Cun Wei
Keyword(s):  
Fuzzy Sets ◽  
Distance Measures ◽  
Pythagorean Fuzzy Sets ◽  
Selection Of

scholarly journals Some novel features of Pythagorean m-polar fuzzy sets with applications

2020 ◽  
Author(s):  
Khalid Naeem ◽  
Muhammad Riaz ◽  
Faruk Karaaslan
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Relation ◽  
Pythagorean Fuzzy Sets ◽  
Pros And Cons ◽  
Selection Of

Abstract We face many situations in day to day life where multi-polar statistics is offered. The prevailing models like Pythagorean fuzzy sets and m-polar fuzzy sets become inoperable in handling such situation efficiently e.g. if someone wishes to invest his capital in some scheme, he would for sure like to know repeated information about pros and cons of that scheme. Pythagorean m-polar fuzzy sets (PmFSs) serve as the most appropriate model to cope with such situations. The motivation behind this article is to extend the notions of PmFSs coined by Naeem et al. (J Intell Fuzzy Syst 37(6): 8441–8458, 2019) and introduce some new operations and results on PmFSs. Owing to the idea of Pythagorean m-polar fuzzy relation, we render an application in the selection of most appropriate life partner.

scholarly journals Pythagorean Fuzzy SWARA–VIKOR Framework for Performance Evaluation of Solar Panel Selection

2020 ◽  
Vol 12 (10) ◽  
pp. 4278 ◽  
Author(s):  
Pratibha Rani ◽  
Arunodaya Raj Mishra ◽  
Abbas Mardani ◽  
Fausto Cavallaro ◽  
Dalia Štreimikienė ◽  
...  
Keyword(s):  
Solar Energy ◽  
Fuzzy Sets ◽  
Real Life ◽  
Computational Procedure ◽  
Energy System ◽  
Solar Panel ◽  
Photovoltaic System ◽  
Preference Order ◽  
Pythagorean Fuzzy Sets ◽  
Selection Of

The age of industrialization and modernization has increased energy demands globally. Solar energy has been recognized as an inexhaustible source of energy and has been applied for desalination and electricity generation. Among different non-conventional energy resources, Solar Energy (SE) is one of the main contributors to the global energy system. A photovoltaic system (PS) is applied to produce SE using photovoltaic cells. The selection of a solar panel includes many intricate factors involving both subjective and quantifiable parameters; therefore, it can be regarded as a complex Multi-Criteria Decision-Making (MCDM) problem. As the uncertainty commonly occurs in the selection of an ideal solar panel, the theory of Pythagorean fuzzy sets has been proven as one of the flexible and superior tools to deal with the uncertainty and ambiguity that arise in real-life applications. The aim of the study is to present an MCDM framework for solving the Solar Panel Selection (SPS) problem within the Pythagorean fuzzy (PF) environment. For this, first, a new integrated method is proposed based on the Stepwise Weight Assessment Ratio Analysis (SWARA) and VlseKriterijumska Optimizcija I Kaompromisno Resenje (VIKOR) approaches in the Pythagorean fuzzy sets (PFSs) context. In the proposed approach, subjective weights of the evaluation criteria are calculated by the SWARA method, and the preference order of alternatives is decided by the VIKOR method in the PF context. The criteria weights evaluated by this approach involve the imprecision of experts’ opinions, which makes them more comprehensible. The computational procedure of the proposed methodology is established through a case study of the SPS problem under PF environment, which proves the applicability and efficiency of the proposed method. Furthermore, this study performs sensitivity analysis to reveal the stability of the developed framework. This analysis signifies that the solar panel option R4 constantly secures its highest ranking despite how the parameter values vary. In addition, a comparative study is discussed to analyze the validity of the obtained result. The results show that the proposed approach is more efficient and applicable with previously developed methods in the PFS environment.

scholarly journals Research on Evaluation of Sustainable Development of New Urbanization from the Perspective of Urban Agglomeration under the Pythagorean Fuzzy Sets

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Lingyan Meng ◽  
Xiaoyan Wei
Keyword(s):  
Sustainable Development ◽  
Fuzzy Sets ◽  
Hamming Distance ◽  
Urban Agglomeration ◽  
Distance Measures ◽  
Fuzzy Information ◽  
Geometric Distance ◽  
The Sustainable Development ◽  
Pythagorean Fuzzy Sets ◽  
New Urbanization

In this study, considering the traditional geometric operation laws and Pythagorean fuzzy information, we propose a variety of new distance measures of Pythagorean fuzzy sets such as generalized Pythagorean fuzzy geometric distance (GPFGD) measures and generalized Pythagorean fuzzy weighted geometric distance (GPFWGD) measures. Besides, some special issues including Hamming distance, Euclidean distance, and Hausdorff distance of these raised geometric distance measures are investigated. To testify the valid of these new presented distance measures, we build a decision-making model illustrated by a mathematical calculation example to evaluate the sustainable development of new urbanization from the perspective of urban agglomeration using Pythagorean fuzzy information.

scholarly journals An Approach to Selection of Agricultural Product Supplier Using Pythagorean Fuzzy Sets

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Lina Dai ◽  
Shizhen Bai
Keyword(s):  
Fuzzy Sets ◽  
Supplier Selection ◽  
Decision Makers ◽  
Agricultural Products ◽  
Agricultural Product ◽  
Selection Algorithm ◽  
Pythagorean Fuzzy Sets ◽  
Bonferroni Mean ◽  
Fuzzy Environment ◽  
Selection Of

The selection of agricultural product supplier is an important link to optimize the supply chain management of agricultural products. Due to the uncertainty factors and the lack of decision-makers’ cognition, the selection of agricultural products suppliers has become a very complex and difficult work. Therefore, in order to effectively deal with these problems, this study proposes an agricultural product supplier selection algorithm based on the Pythagorean fuzzy power Bonferroni mean operator under Pythagorean fuzzy environment. In this method, first, the power operator and Bonferroni mean operator are combined and embedded in the Pythagorean fuzzy sets to build a Pythagorean fuzzy power Bonferroni mean operator. Then, a multiattribute decision-making method based on the operator proposed in this paper is proposed. Finally, an analysis of examples of agricultural product supplier selection is given to verify the rationality and effectiveness of this method.

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