Title: Ordering of intuitionistic fuzzy numbers and its applications
Speaker: Dr. Jeevaraj S, Assistant Professor, Atal Bihari Vajpayee - Indian Institute of Information Technology & Management Gwalior.
Day, Date and Time: Monday, November 8 2021, 2:15 PM.
Abstract: Zadeh introduced the notion of fuzzy subsets. The notions introduced by Atanassov (1983) and Atanassov & Gargov (1989) in defining intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets are interesting and helpful in modelling real-life problems. An intuitionistic fuzzy set plays a vital role in decision making, data analysis, and artificial intelligence. The information received from a source is represented by an information system involving quantitative, qualitative, and incomplete information. Such incomplete information is fed into the intelligent system for enhancing accuracy using Trapezoidal Intuitionistic Fuzzy Numbers (TrIFN). The ranking of fuzzy numbers plays a vital role in Decision-making problems and many other applications. The ranking of Fuzzy Numbers has started in the early eighties in the last century; different researchers have proposed various methods for the Ranking of Fuzzy numbers. But none of them yields a total ordering on the class of fuzzy numbers and intuitionistic fuzzy numbers. The main aim of this lecture is to introduce a ranking (ordering) principle for comparing arbitrary intuitionistic fuzzy numbers (TrIFNs) and see their applications in decision-making.
Speaker Bio:
Dr. Jeevaraj S was born and brought up in Madurai, Tamilnadu. He is currently working as Assistant Professor in Mathematics at Atal Bihari Vajpayee - Indian Institute of Information Technology & Management Gwalior. Prior to this, he was associated with the Indian Institute of Technology Delhi as Senior Project Scientist for one and half years. He completed his M.Sc. (Applied Mathematics) from Thiagarajar College of Engineering in 2012 and PhD degree from the National Institute of Technology Tiruchirappalli in 2017. His PhD thesis work is focused on the total ordering of intuitionistic fuzzy numbers of different types. Presently he is working in the field of intuitionistic fuzzy logic and its applications to Decision Making, Information Systems and Image Processing. He has published 14 international journal articles (13 SCI, 1 Scopus, with a cumulative impact factor of 50) and seven international conference articles. He is also serving as a reviewer to more than 10 SCI-indexed international journals.
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