Pythagorean fuzzy sets : theory and applications / / edited by Harish Garg

• Record Nr.: UNISA996466394203316
• Pubbl/distr/stampa: Singapore : , : Springer, , [2021]; ©2021
• ISBN: 981-16-1989-1
• Descrizione fisica: 1 online resource (443 pages)
• Disciplina: 016.403
• Soggetti: Mathematical Logic and Foundations; Artificial intelligence; Intel·ligència artificial; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Intro -- Preface -- Contents -- About the Editor -- Pythagorean Fuzzy Information Measures -- A Survey on Recent Applications of Pythagorean Fuzzy Sets: A State-of-the-Art Between 2013 and 2020 -- 1 Introduction -- 2 Basic Concepts and Operators of Pythagorean Fuzzy Sets -- 2.1 Basic Concept of the Pythagorean Fuzzy Sets -- 2.2 Principal Operations -- 2.3 Score and Accuracy Functions -- 2.4 Distance Measures -- 2.5 Pythagorean Fuzzy Aggregation Operators -- 3 Literature Review -- 3.1 Survey Methodology -- 3.2 Survey Results -- 4 Conclusion and Future Outlook -- References -- Some New Weighted Correlation Coefficients Between Pythagorean Fuzzy Sets and Their Applications -- 1 Introduction -- 2 Basic Notions of Pythagorean Fuzzy Sets -- 3 Correlation Coefficients Between PFSs -- 3.1 Some Existing/New CCPFSs Methods -- 3.2 Numerical Illustrations for Computing CCPFSs -- 4 Some Existing/New WCCPFSs Methods -- 4.1 Some Existing WCCPFSs Methods -- 4.2 New Methods of Computing WCCPFSs -- 4.3 Numerical Verifications of the WCCPFSs Methods -- 5 Determination of Pattern Recognition and Medical Diagnostic Problem via WCCPFSs -- 5.1 Applicative Example in Pattern Recognition -- 5.2 Applicative Example in Medical Diagnosis -- 6 Conclusion -- ; References -- Parametric Directed Divergence Measure for Pythagorean Fuzzy Set and Their Applications to Multi-criteria Decision-Making -- 1 Introduction -- 2 Basic Concepts -- 2.1 Intuitionistic Fuzzy Set [1] -- 2.2 Hesitant Fuzzy Set [32, 33] -- 2.3 Pythagorean Fuzzy Set [11, 16] -- 3 Proposed Parametric Directed Divergence Measure for Pythagorean Fuzzy Set (PFS) -- 3.1 Parametric Divergence Measure for PFSs -- 3.2 Parametric Symmetric Divergence Measure for PFSs -- 3.3 Some Properties of Parametric Symmetric Divergence Measure for PFSs.; 4 Decision-Making Method Based on Proposed Parametric Directed Divergence Measure for Pythagorean Fuzzy Set (PFS) -- 5 Illustrative Example -- 6 Conclusions -- References -- Some Trigonometric Similarity Measures Based on the Choquet Integral for Pythagorean Fuzzy Sets and Applications to Pattern Recognition -- 1 Introduction -- 2 Preliminaries -- 3 Trigonometric Similarity Measures Defined with the Choquet Integral For PFSs -- 4 Applications -- 4.1 Pattern Recognition Problem -- 4.2 Medical Diagnosis Problem -- 5 Conclusion -- References -- Isomorphic Operators and Ranking Methods for Pythagorean and Intuitionistic Fuzzy Sets -- 1 Introduction -- 2 Preliminaries -- 2.1 Related Definitions of Intuitionistic Fuzzy Sets and Pythagorean Fuzzy Sets -- 2.2 T-Norm and Its Dual T-Conorm -- 2.3 Four Types of Dual Archimedean T-Norm and S-Norm -- 3 Operations Isomorphism -- 3.1 Operations Isomorphism Between IFSs and PFSs -- 3.2 Operations Isomorphism Between IVIFSs and IVPFSs -- 3.3 Operations Isomorphism Between DHFSs and DHPFSs -- 4 Aggregation Operators Isomorphism -- 4.1 Aggregation Operators Isomorphism Between PFSs and IFSs -- 4.2 Aggregation Operators Isomorphism Between IVPFSs and IVIFSs -- 4.3 Aggregation Operators Isomorphism Between HPFSs and DHFSs -- 5 Ranking Methods Isomorphism -- 5.1 Ranking Methods Isomorphism Between IFNs and PFNs -- 5.2 Ranking Methods Isomorphism Between IVIFNs and IVPFNs -- 5.3 Ranking Methods Isomorphism Between DHFSs and DHPFSs -- 6 Proofs -- 7 Conclusion -- References -- Pythagorean Fuzzy Multi-criteria Decision-Making -- A Risk Prioritization Method Based on Interval-Valued Pythagorean Fuzzy TOPSIS and Its Application for Prioritization of the Risks Emerged at Hospitals During the Covid-19 Pandemic -- 1 Introduction -- 2 Literature Review -- 3 Situation Analysis of Turkey's Covid-19 Pandemic -- 4 Applied Methodology.; 4.1 Preliminaries -- 4.2 Procedural Steps of the Proposed IVPF-TOPSIS-based Approach -- 5 Case Study: Prioritization of the Risks Emerged at Hospitals During the Covid-19 Pandemic -- 5.1 Comparative Study -- 6 Conclusion -- References -- Assessment of Agriculture Crop Selection Using Pythagorean Fuzzy CRITIC-VIKOR Decision-Making Framework -- 1 Introduction -- 1.1 Motivation and Contributions -- 2 Preliminaries -- 3 Proposed Divergence and Entropy Measures -- 4 Pythagorean Fuzzy-CRITIC-VIKOR (PF-CRITIC-VIKOR) Methodology -- 5 Case Study: Agriculture Crop Selection Problem -- 5.1 Sensitivity Analysis (SA) -- 5.2 Comparative Study -- 6 Conclusions -- References -- Choquet Integral Under Pythagorean Fuzzy Environment and Their Application in Decision Making -- 1 Introduction -- 2 Preliminaries -- 3 Pythagorean Fuzzy Choquet Integral -- 4 Application to Sustainable Solid Waste Management -- 4.1 Experts and Criteria -- 4.2 Computation -- 5 Conclusions -- References -- On Developing Pythagorean Fuzzy Dombi Geometric Bonferroni Mean Operators with Their Application to Multicriteria Decision Making -- 1 Introduction -- 2 Preliminaries -- 2.1 Pythagorean Fuzzy Set -- 2.2 Geometric Bonferroni Mean Operator -- 2.3 Dombi t-Conorm and t-Norm -- 2.4 Operations of PFNs Based on Dombi t-Conorm and t-Norm -- 3 Pythagorean Fuzzy Geometric Bonferroni Mean Operators ; Based on Dombi Operations -- 3.1 Pythagorean Fuzzy Dombi Geometric Bonferroni Mean Operator -- 3.2 Properties of Pythagorean Fuzzy Dombi Geometric Bonferroni Mean Operator -- 3.3 Some Special Cases of Pythagorean Fuzzy Dombi Geometric Bonferroni Mean Operator -- 3.4 Pythagorean Fuzzy Weighted Dombi Geometric Bonferroni Mean Operator -- 4 An Approach to MCDM with Pythagorean Fuzzy Information -- 5 An Illustrative Example -- 5.1 Description of the MCDM Problem -- 5.2 Results and Discussions.; 5.3 Comparative Analysis -- 6 Conclusions -- References -- Schweizer-Sklar Muirhead Mean Aggregation Operators Based on Pythagorean Fuzzy Sets and Their Application in Multi-criteria Decision-Making -- 1 Introduction -- 2 Preliminaries -- 2.1 Pythagorean Fuzzy Sets -- 2.2 Muirhead Mean Operator -- 2.3 Schweizer-Sklar Operations -- 3 Pythagorean Fuzzy Schweizer-Sklar Muirhead Mean Aggregation Operations -- 3.1 Pythagorean Fuzzy Schweizer-Sklar Muirhead Mean Operator -- 3.2 Pythagorean Fuzzy Schweizer-Sklar Weighted Muirhead Mean Operator -- 4 Multi-criteria Decision-Making Problems Based on Pythagorean Fuzzy Schweizer-Sklar Muirhead Mean Aggregation Operations -- 4.1 Advantages of the Explored Operators -- 4.2 Comparative Analysis of the Explored Operators -- 4.3 Graphical Representations of the Explored Operators -- 5 Conclusion -- References -- Pythagorean Fuzzy MCDM Method Based on CODAS -- 1 Introduction -- 2 Preliminaries -- 3 Approach to PF MCDM Based on CODAS -- 3.1 The Description Issue -- 3.2 PF MCDM Method Based on CODAS -- 4 An Illustrative Example -- 5 Conclusion -- References -- A Novel Pythagorean Fuzzy MULTIMOORA Applied to the Evaluation of Energy Storage Technologies -- 1 Introduction -- 2 Review of the Literature -- 2.1 The MULTIMOORA Method -- 2.2 Pythagorean Fuzzy Operators -- 2.3 Energy Storage Technologies -- 3 Preliminaries -- 3.1 Pythagorean Fuzzy Sets -- 3.2 The Classical MULTIMOORA Method -- 4 The Proposed PF-MULTIMOORA -- 4.1 The Ratio System Technique -- 4.2 The Reference Point Technique -- 4.3 The Full Multiplicative Form Technique -- 4.4 The Overall Utility Score -- 5 Evaluation of Energy Storage Technologies -- 5.1 An Overview -- 5.2 A Practical Example -- 6 Conclusion -- References -- Extensions of the Pythagorean Fuzzy Sets -- Application of Linear Programming in Diet Problem Under Pythagorean Fuzzy Environment.; 1 Introduction -- 2 Preliminaries -- 3 Proposed Method -- 4 Numerical Example -- 4.1 Diet Problem (T3PFN) -- 5 Result Analysis -- 6 Conclusion -- References -- Maclaurin Symmetric Mean-Based Archimedean Aggregation Operators for Aggregating Hesitant Pythagorean Fuzzy Elements and Their Applications to Multicriteria Decision Making -- 1 Introduction -- 2 Preliminaries -- 2.1 PFS -- 2.2 HPFSs -- 2.3 MSM Operator -- 2.4 At-CN&amp -- t-Ns -- 3 Development of At-CN&amp -- t-N-Based MSM Operators for HPFEs -- 4 An Approach to MCDM with HPF Information -- 5 Illustrative Examples -- 6 Comparison and Discussions -- 7 Conclusions -- References -- Extensions of Linguistic Pythagorean Fuzzy Sets and Their Applications in Multi-attribute Group Decision-Making -- 1 Introduction -- 2 Basic Concepts -- 3 Dual Hesitant Linguistic Pythagorean Fuzzy Sets and Their Applications in MAGDM -- 3.1 Motivations and Necessity of Proposing DHLPFSs -- 3.2 Definition of DHLPFSs -- 3.3 Operations of DHLPFEs -- 3.4 Comparison Method of DHLPFEs -- 3.5 Some Basic Aggregation Operators of DHLPFEs -- 3.6 A MAGDM Method Based on DHLPFSs -- 4 Probabilistic Dual Hesitant Linguistic Pythagorean Fuzzy Sets and Their Applications -- ; 4.1 Motivations of Proposing PDHLPFSs -- 4.2 Definition of PDHLPFSs -- 4.3 Operation of PDHLPFEs -- 4.4 Comparison Method of PDHLPFEs -- 4.5 Aggregation Operators of PDHLPFEs -- 4.6 MAGDM Based on PDHLPFEs -- 5 Conclusion Remarks -- References -- Pythagorean Fuzzy Soft Sets-Based MADM -- 1 Introduction -- 2 Structure of Pythagorean Fuzzy Soft Sets -- 3 Multi-criteria Group Decision-Making Using Pythagorean Fuzzy Soft Information -- 3.1 Comparison Analysis -- 4 TOPSIS Approach for Choice Making with Pythagorean Fuzzy Soft Sets -- 5 Multiple Criteria Group Decision-Making Using PFS-VIKOR Method -- 6 A Similarity Measure for PFSSs.; 6.1 Weighted Similarity Measure for PFSSs.