Picture Fuzzy Logic and Its Applications in Decision Making Problems 9780443220234, 9780443220241

Table of contents :
Cover image
Title page
Table of Contents
Copyright
1: Introduction to picture fuzzy sets and operators
Abstract
1.1. Introduction
1.2. Preliminaries
1.3. Relation on picture fuzzy set
1.4. Picture fuzzy graph
1.5. Arithmetics on picture fuzzy set
1.6. Ordering of PFN
1.7. Similarity measures between picture fuzzy sets
1.8. Convex combination of picture fuzzy sets
1.9. Picture fuzzy averaging operators
1.10. Implication operator on picture fuzzy set
1.11. Topological operators on picture fuzzy set
1.12. Dombi operations on PFNs
1.13. Picture fuzzy Dombi aggregation operator
1.14. Conclusion
References
2: Picture fuzzy hybrid weighted operators and their application in the decision-making process
Abstract
2.1. Introduction
2.2. Preliminaries
2.3. Aggregation operators with PFN information
2.4. Interval-valued picture fuzzy approach
2.5. MCDM based on the proposed operators
2.6. Sensitivity analysis for the parameter γ
2.7. Conclusion
References
3: Multicriteria group decision-making process based on a picture fuzzy soft parameterized environment
Abstract
3.1. Introduction
3.2. Basic concept of PFSS and PFSN
3.3. Picture fuzzy soft weighted average operators
3.4. Model for MCGDM method using picture fuzzy soft information
3.5. Case study
3.6. Comparative studies
3.7. Advantages of the approach
3.8. Conclusions
References
4: Picture fuzzy Dombi operators and their applications in multiattribute decision-making processes
Abstract
4.1. Introduction
4.2. Preliminaries
4.3. Picture fuzzy Dombi weighted average operators
4.4. Picture fuzzy Dombi weighted geometric operators
4.5. The MADM model based on PFN
4.6. Numerical results
4.7. Analysis on the effect of parameter ϱ on decision making results
4.8. Comparative analysis
4.9. Conclusions
References
5: Picture fuzzy Dombi prioritized operators and their application in decision-making processes
Abstract
5.1. Introduction
5.2. Preliminaries
5.3. Picture fuzzy Dombi prioritized weighted arithmetic aggregation operators
5.4. Picture fuzzy Dombi prioritized geometric aggregation operators
5.5. Model for MADM using picture fuzzy Dombi operator
5.6. Numerical example and comparative analysis
5.7. Analysis on the effect of parameter ϱ on decision making results
5.8. Comparative analysis
5.9. Conclusions
References
6: Picture fuzzy power Dombi operators and their utilization in decision-making problems
Abstract
6.1. Introduction
6.2. Basic definitions and terminologies
6.3. Picture fuzzy power Dombi averaging operators
6.4. Dombi power geometric AOs with PFNs
6.5. MADM approach for PFNs
6.6. Case study and comparative analysis
6.7. Conclusion
References
7: m-Polar picture fuzzy Dombi operators and their applications in multicriteria decision-making processes
Abstract
7.1. Introduction
7.2. Preliminaries
7.3. Dombi operations on mPFNs
7.4. mPoPFN Dombi arithmetic operators
7.5. mPoPFN Dombi geometric operators
7.6. Model for MADM using mPoPF data
7.7. Numerical example
7.8. Conclusion
References
8: Picture fuzzy MABAC approach and its application in multi-attribute group decision-making processes
Abstract
8.1. Introduction
8.2. Some results of picture fuzzy sets
8.3. Conventional MABAC model
8.4. MABAC model with PFNs
8.5. Case study
8.6. Compare PFNs MABAC approach with some PFNs operators
8.7. Conclusions
References
9: Linear programming problem in a picture fuzzy environment
Abstract
Abbreviations
9.1. Introduction
9.2. Preliminaries
9.3. Some results
9.4. Methodology for solving FPFLPP with LR flat PFNs
9.5. Numerical example of FPFLPP
9.6. Conclusions
References
10: Multiobjective linear programming problem in a picture fuzzy environment
Abstract
Abbreviations
10.1. Introduction
10.2. Preliminaries
10.3. Multiobjective linear programming problem
10.4. Picture fuzzy multiobjective linear programming problem
10.5. Application of PFMOLPP
10.6. Conclusion
References
11: Picture fuzzy goal programming problem
Abstract
Abbreviations
11.1. Introduction
11.2. Preliminaries
11.3. Picture fuzzy goal programming problem
11.4. An application of picture fuzzy goal programming in the recycling process of plastic
11.5. Conclusion
References
12: Picture fuzzy linear assignment problem and its application in multicriteria group decision-making problems
Abstract
Abbreviations
12.1. Introduction
12.2. Preliminaries
12.3. Linear assignment method on picture fuzzy set
12.4. An application to a sponge iron factory location selection
12.5. Conclusions
References
Index