This book discusses major theories and applications of fuzzy soft multisets and their generalization which help researchers get all the related information at one place. The primary objective of this book is to help bridge the gap to provide a textbook on the theories in fuzzy soft multisets and their applications in real life. It is targeted to researchers and students working in the field of fuzzy set theory, multiset theory, soft set theory and their applications.

Uncertainty, vagueness and the representation of imperfect knowledge have been a problem in many fields of research, including artificial intelligence, network and communication, signal processing, machine learning, computer science, information technology, as well as medical science, economics, environments and engineering. There are many mathematical tools for dealing with uncertainties. They include fuzzy set theory, multiset theory, soft set theory and soft multiset theory.

Auteur

ANJAN MUKHERJEE is former Pro Vice-Chancellor and former Professor at the Department of Mathematics, Tripura University, India. He has completed his bachelor and master degrees in mathematics from the University of Calcutta and obtained his Ph.D. from Tripura University. Professor Mukherjee has more than 35 years of experience in research and teaching. He has published more than 170 research papers in different national and international journals and conference proceedings and has delivered several invited talks. Professor Mukherjee is on the editorial board of the Universal Journal of Computational Mathematics and is associated with Fuzzy and Rough Sets Association. He has presented his work at the University of Texas (USA), City College of New York (USA), AMC 5th Asian Mathematical Conference (Malaysia) and several universities in Bangladesh, Turkey and many other countries.

AJOY KANTI DAS is Assistant Professor at the Department of Mathematics, Bir Bikram Memorial College, Maharaj Bir Bikram University, Agartala, Tripura. He has completed his bachelor and master degrees in mathematics from Tripura University and completed his Ph.D. from the Department of Mathematics, Tripura University. A gold medalist in both bachelor and master degrees for his excellent performance in mathematics, his current research interest is in fuzzy set theory, soft set and soft computing. With more than 10 years of experience in research and teaching, Dr. Das has published more than 40 research papers in different national and international journals and conference proceedings. He participated and presented his papers at more than 20 national and international conferences. He was also invited as a speaker at international conferences in several countries. He was awarded Junior Research Fellowship from the CSIR, UGC and DST to conduct his research work.

Contenu

Introduction to fuzzy sets, soft sets, mulit sets and their generations.- 2. Fuzzy soft multiset theory.- 3. Relation on fuzzy soft multisets.- 4. Topology on fuzzy soft multisets.- 5. Fuzzy soft multi points and their sequences.- 6. Fuzzy soft multi compactness and separation axioms.- 7. Fuzzy soft multiset based applications.- 8. Generalization of fuzzy soft multisets.- 9. Intuitionistic fuzzy soft multiset theory.- 10. Application of intuitionistic fuzzy soft multisets.