This book offers a comprehensive review of the different types of fuzzy sets that have been developed in the last few years. Each chapter is dedicated to a type of fuzzy set, which is at first introduced and described in detail, together with its properties. In turn, its application in an optimization and/or decision-making problem is discussed. In particular, the book highlights current research gaps and future research directions on fuzzy numbers in decision analysis and transportation problems. It is intended as a self-contained reference guide for scientists and engineers interested in applying fuzzy set theory for solving optimization problems.

Each chapter introduces in detail a type of fuzzy set Describes how to use each type of fuzzy set to solve optimization/decision making problems Highlights current research gaps in fuzzy set theory and applications

Autorentext

Ali Mahmoodirad is an Associate Professor of Applied Mathematics (Operation Research) in Ayatollah Amoli branch of Islamic Azad University in Iran. His research interests include fuzzy mathematical programming, supply chain management and uncertainty theory. He has published research papers in international journals on mathematics and industrial engineering.

Harish Garg is an Associate Professor at the Department of Mathematics, Thapar Institute of Engineering & Technology (Deemed University) Patiala, Punjab, India. He received a Ph.D. degree in applied mathematics with a specialization in reliability theory, fuzzy and soft computing techniques from IIT Roorkee, India, in 2013. Author of more than 520 papers published in international journals, he has supervised 7 Ph.D. dissertations. He serves as Editor-in-Chief of the Journal of Computational and Cognitive Engineering (Bon View Publishing Pte Ltd.). He is associate editor of several renowned journals such as Alexendira Engineering Journal, Journal of Industrial & Management Optimization, Machine Intelligence Research, among others. His research interests are in the fields of computational intelligence, reliability analysis, multi-criteria decision-making, fuzzy decision making, and Pythagorean fuzzy sets.

Sadegh Niroomand is an Associate Professor of Industrial Engineering at Firouzabad Institute of Higher Education Center, Shiraz University of Technology, Shiraz, Iran. He received his PhD degree in Industrial Engineering from the Eastern Mediterranean University in 2013. His research interests cover operations research, fuzzy theory, and exact and meta-heuristic solution approaches alike.

Inhalt

Fuzzy Sets Theory.- Intuitionistic Fuzzy Set.- Pythagorean Fuzzy Sets.- Neutrosophic Fuzzy Sets.- Spherical fuzzy sets, etc.