1st Edition
Strategic Fuzzy Extensions and Decision-making Techniques
The text discusses a novel correlation coefficient of linguistic intuitionistic fuzzy sets and its application to medical diagnosis problems. It further explains neutrosophic cubic set-based aggregation operators for library ranking systems, and techniques for order performance by similarity to ideal solution. The text also introduces the new aggregation operators, similarity measures, and distance measures for the fuzzy sets and their extensions.
This book:
- Introduce the new aggregation operators, similarity measures, and distance measures for the fuzzy sets and their extensions.
- Covers recent studies in the field of fuzzy optimization and decision making such as advanced decision-making algorithms.
- Highlights the application in the field of image processing and pattern recognition.
- Presents a technique for order performance by similarity to an ideal solution and VIKOR method for decision making.
- Explore the limitations of existing fuzzy decision-making approaches such as the malfunctioning of existing formulations.
It is primarily written for senior undergraduate, graduate students, and academic researchers in fields including industrial engineering, manufacturing engineering, production engineering, mechanical engineering, and engineering mathematics.
1. Fuzzy decision-making: Introduction and features
Rishu Arora, Gagandeep Kaur, Kamal Kumar
2. Preliminaries
Gagandeep Kaur
3. Multi-attributed decision making using enhanced possibility degree measure of intuitionistic fuzzy set
Pooja Yadav, Vikash Patel, Vijay Kumar, Neeraj Lather
4. A new score function for interval-valued intuitionistic fuzzy set and its application to MADM problems with partial weight information
R. Bhardwaj, N. Mani, L. Singh, A. Sharma
5. Neutrosophic cubic set based operators for library ranking system
Rohit, Gagandeep Kaur
6. New distance measure for intuitionistic fuzzy set and its application in multi-attribute decision making
P. Dutta, A. K. Banik
7. A novus distance measure of intuitionistic fuzzy sets: an application of seaport-dry port selection via fuzzy SWOT analysis
Arijit Mondal, Sankar Kumar Roy
8. Maclaurin symmetric mean operator based MADM approach for type-2 intuitionistic fuzzy sets
K. Debnath, S. K. Roy
9. A new correlation coefficient of linguistic intuitionistic fuzzy sets and its use in medical diagnosis problems
R. Malik, C. Dhankhar, D. Sharma, V. Kumar, P. Kumar
10. Power Einstein Aggregation Operators of Intuitionistic Fuzzy Sets and Their Application in MADM
A. Sharma, N. Mani, R. Arora, R. Bhardwaj
11. Effectiveness of MADM in q-rung orthopair fuzzy sets: a novel entropy measure based TOPSIS method
Binoy Krishna Giri, Sankar Kumar Roy
12. A novel similarity measure for advanced fuzzy set with applications to multiple attribute decision making
Priya Yadav, Gagandeep Kaur
13. Fermatean Fuzzy Sets in Multiset Framework with Application in Diagnostic Process based on Composite Relations
Paul Augustine Ejegwa, Doonen Zuakwagh, Abolape Deborah Akwu
14. Advanced possibility degree measure for linguistic q-rung orthopair fuzzy set and its application in multi-attribute decision making
Neelam, Bhuvneshvar Kumar, Reeta Bhardwaj
15. Future implications and scope
K. Kumar, G. Kaur, R. Arora
Biography
Dr. Kamal Kumar is an Assistant professor at Amity University Haryana, Gurugram, India. Prior to joining this university, Dr Kumar received his doctoral degree at Thapar Institute of Engineering & Technology Patiala, Punjab, India in 2020. He obtained his master’s degree in mathematics during 2012 - 2014. He has more than seven years of teaching experience in different subjects of Engineering Mathematics and Statistics. He teaches Fuzzy Set Theory, Optimization techniques and Statistics at under-graduate and post-graduate levels. His current research interest is in fuzzy decision making, aggregation operators, soft computing, and uncertainty theory. He has published more than 50 international articles in different reputed SCI journals, including the Information Sciences, Transactions on Fuzzy Systems, Soft Computing, Artificial Intelligence Review, Applied Intelligence, Arabian Journal for Science and Engineering, etc. He has also published 5 book chapters and 2 patents. His Google citation is over 2000 with h-index 21 and i10 index 26. He is an associate editor in the journal “Mathematical Problems in Engineering” and “Journal of Applied Mathematics”. He has been a reviewer for some prestigious journals of Elsevier, Springer, Taylor & Francis. He is listed in the top 2% of Scientists in the World in all disciplines in 2021, 2022 & 2023 (three consecutive years) based on Stanford Univ. and Elsevier B.V.
Dr. Rishu Arora is working as an Assistant Professor II at Amity University, Noida, Uttar Pradesh, India. She completed her Ph.D. in Mathematics from Thapar Institute of Engineering & Technology (Deemed University) Patiala, Punjab, India, in 2020. She received the master’s degree in mathematics from Department of Mathematics, Guru Nanak Dev University, Amritsar, India, in 2010. She has qualified GATE in 2012-2015. Her current research interests are in the areas of multi criteria decision-making, aggregation operator, intuitionistic fuzzy soft set. She has published 20 papers in the international reputed SCI journals and completed one DST sponsored project as PI. Her Google citations are over 1200 with h-index 15.
Dr. Gagandeep Kaur is working as an Assistant Professor at Department of Mathematics, Amity School of Applied Sciences, Amity University Haryana, India. She has completed her PhD in Mathematics with specialization in Applied Mathematics and Computing from Thapar Institute of Engineering and Technology. Prior to it, she has completed her MSc in Mathematics from Punjabi University, Patiala. Her area of research is Uncertainty quantification using Fuzzy Sets and Logic. She is a dedicated researcher in her field and has 17 published research articles in SCI journals of international repute with 750+ citations till now. Her recent research based on Traveler's screening at airport terminals during COVID-19 pandemic has been acknowledged by the World Health Organization. She is an Editorial Board member of a scientific Web of Sciences journal Frontiers of Sustainability and has reviewed several articles related to journals IEEE Transactions of Fuzzy Sets, Kybernetes, Complex & Intelligent Systems, Computational and Applied Mathematics under publishing houses such as Springer, Elsevier, Wiley etc. She is proficient in Mathematical Modelling and software packages like MATLAB, MAPLE, Mathematics and GeoGebra.
