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

ISBN-13: 9789811570001 / Angielski / Miękka / 2021 / 262 str.

Akansha Mishra; Amit Kumar

Recenzje

"The monograph is well written. All the methodological issues are clearly presented and usually illustrated with small numerical examples, that allow to better understand the contents. For that reason, I can recommend this publication in particular for the researchers interested in the area of fuzzy transportation problems, but also fuzzy programing in a wider context of network optimization." (Marcin Anholcer, zbMATH 1486.90001, 2022)

Spis treści

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.

O autorze

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. 

Dr. Amit Kumar is an Associate Professor at the School of Mathematics, Thapar Institute of Engineering & Technology, Patiala, Punjab, India. Holding a Ph.D. from the Indian Institute of Technology Roorkee (2008), Dr. Kumar has made significant contributions to the development of solution methods for various types of fuzzy linear programming problems, fuzzy transportation problems, fuzzy game theory and fuzzy multi-criteria decision-making problems. He has published over 60 research papers in SCI/SCIE indexed journals, and has co-authored three books in the series “Studies in Fuzziness and Soft Computing,” published by Springer, Germany.

Blurb

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.