Aggregation Operators for Various Extensions of Fuzzy Set and Its Applications in Transportation Problems

This book introduces readers to the fundamentals of transportation problems under the fuzzy environment and its extensions. It also discusses the limitations and drawbacks of (1) recently proposed aggregation operators under the fuzzy environment and its various extensions; (2) recently proposed methods for solving transportation problems under the fuzzy environment; and (3) recently proposed methods for solving transportation problems under the intuitionistic fuzzy environment. In turn, the book proposes simplified methods to overcome these limitations.

Chapter 1. Appropriate Weighted Averaging Aggregation Operator Under Some Extensions of the Fuzzy Environment.- Chapter 2. Mehar Method to Find a Unique Fuzzy Optimal Value of Balanced Fully Triangular Fuzzy Transportation Problems.- Chapter 3. Vaishnavi Approach for Solving Triangular Intuitionistic Transportation Problems of Type-2.- Chapter 4. JMD Approach for Solving Unbalanced Fully Trapezoidal Intuitionistic Fuzzy Transportation Problems.- Chapter 5. JMD Approach for Solving Unbalanced Fully Generalized Trapezoidal Intuitionistic Fuzzy Transportation Problems.

Dr. Akansha Mishra received her M.Sc. degree in Mathematics from Visvesvaraya National Institute of Technology, Nagpur, Maharashtra, India, in 2015, and her Ph.D. in Mathematics from Thapar Institute of Engineering & Technology, Patiala, Punjab, India, in 2019. Her main research interest is in fuzzy optimization. She has published six research papers in SCI/SCIE indexed journals, and presented another at the International Congress on Industrial and Applied Mathematics, organized by the International Council for Industrial and Applied Mathematics in Valencia, Spain on July 15–19, 2019.