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The book introduces the concept of "generalized interval valued intuitionistic fuzzy soft sets". It presents the basic properties of these sets and also, investigates an application of generalized interval valued intuitionistic fuzzy soft sets in decision making with respect to interval of degree of preference. The concept of "interval valued intuitionistic fuzzy soft rough sets" is discussed and interval valued intuitionistic fuzzy soft rough set based multi criteria group decision making scheme is presented, which refines the primary evaluation of the whole expert group and enables us to select the optimal object in a most reliable manner. The book also details concept of interval valued intuitionistic fuzzy sets of type 2. It presents the basic properties of these sets. The book also introduces the concept of "interval valued intuitionistic fuzzy soft topological space (IVIFS topological space)" together with intuitionistic fuzzy soft open sets (IVIFS open sets) and intuitionistic fuzzy soft closed sets (IVIFS closed sets).
List of contents
Introduction to Fuzzy Sets, Rough Sets and Soft Sets.- On Generalised Interval-Valued Intuitionistic Fuzzy Soft Sets.- Soft Rough Intuitionistic Fuzzy Sets.- Interval-Valued Intuitionistic Fuzzy Soft Rough Sets.- Interval Valued Intuitionistic Fuzzy Soft Topological Spaces.- Interval Valued Intuitionistic Fuzzy Soft Multi-sets and their Relations.- Interval Valued Neutrosophic Soft Sets.- Topological Structure formed by Soft Multi Sets and Soft Multi Compact Spaces.- Soft Interval Valued Intuitionistic Fuzzy Rough Sets.- IF Parameterized Intuitionistic Fuzzy Soft Set Theories On Decisions-Making.
About the author
Prof. Anjan Mukherjee is Pro Vice-Chancellor of Tripura University. He has completed his B.Sc. and M.Sc. in Mathematics from University of Calcutta and obtained his Ph.D. from Tripura University. Dr. Mukherjee has 26 years of vast experience in research and teaching. He has published more than 150 research papers in different national and international journals and conference proceedings and has delivered several invited talks. Dr. Mukherjee is in the Editorial Board of Universal Journal of Computational Mathematics and also associated with Fuzzy and Rough Sets Association. He has presented his work at University of Texas (USA), City College of New York (USA), Malaysia (AMC 5th Asian Mathematical Conference), Bangladesh, Turkey and many other universities.
Summary
The book introduces the concept of “generalized interval valued intuitionistic fuzzy soft sets”. It presents the basic properties of these sets and also, investigates an application of generalized interval valued intuitionistic fuzzy soft sets in decision making with respect to interval of degree of preference. The concept of “interval valued intuitionistic fuzzy soft rough sets” is discussed and interval valued intuitionistic fuzzy soft rough set based multi criteria group decision making scheme is presented, which refines the primary evaluation of the whole expert group and enables us to select the optimal object in a most reliable manner. The book also details concept of interval valued intuitionistic fuzzy sets of type 2. It presents the basic properties of these sets. The book also introduces the concept of “interval valued intuitionistic fuzzy soft topological space (IVIFS topological space)” together with intuitionistic fuzzy soft open sets (IVIFS open sets) and intuitionistic fuzzy soft closed sets (IVIFS closed sets).
Additional text
“This book is designed for researchers and students working in the field of fuzzy sets, rough sets, soft sets, and their hybrid models. It introduces the concept and basic properties of generalized interval-valued intuitionistic fuzzy soft sets.” (Bijan Davvaz, Mathematical Reviews, January, 2016)
Report
"This book is designed for researchers and students working in the field of fuzzy sets, rough sets, soft sets, and their hybrid models. It introduces the concept and basic properties of generalized interval-valued intuitionistic fuzzy soft sets." (Bijan Davvaz, Mathematical Reviews, January, 2016)
