Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets

This monograph discusses the theoretical and practical development of multicriteria decision making (MCDM). The main purpose of MCDM is the construction of systematized strategies for the "optimisation" of feasible options, as well as the justification of why some alternatives can be declared "optimal". However, at time, we must make decisions in an uncertain environment and such inconvenience gives rise to a much more elaborate scenario. This book highlights models where this lack of certainty can be flexibly fitted in and goes on to explore valuable strategies for making decisions under a multiplicity of criteria. Methods discussed include bipolar fuzzy TOPSIS method, bipolar fuzzy ELECTRE-I method, bipolar fuzzy ELECTRE-II method, bipolar fuzzy VIKOR method, bipolar fuzzy PROMETHEE method, and two-tuple linguistic bipolar fuzzy Heronian mean operators. This book is a valuable resource for researchers, computer scientists, and social scientists alike.

Presents practical applications of multicriteria decision making Explores valuable strategies for making decisions under a multiplicity of criteria Includes novel methods and real-life solved problems on the basis of multiple criteria

Autorentext

MUHAMMAD AKRAM is a Professor at the Department of Mathematics, University of the Punjab, Lahore, Pakistan. He previously served at Punjab University College of Information Technology as an Assistant Professor and Associate Professor. He earned his Ph.D. in fuzzy mathematics from Government College University, Lahore, Pakistan. His research interests include numerical algorithms, fuzzy graphs, fuzzy algebras, and fuzzy decision support systems. He has published five books and over 265 research articles in peer-reviewed international journals, and supervised ten Ph.D. students.

Inhalt

1. TOPSIS and ELECTRE-I Methodologies: Bipolar Fuzzy Formulations.- 2.TOPSIS Method with Trapezoidal Bipolar Fuzzy Numbers.- 3. VIKOR Method with Trapezoidal Bipolar Fuzzy Sets. - 4. Extended VIKOR Method Based on Complex Bipolar Fuzzy Sets.- 5. Beyond ELECTRE I: A Bipolar Fuzzy ELECTRE II Method.- 6. Extended PROMETHEE Method with Bipolar Fuzzy Sets.- 7. Enhanced Decision-Making Method with Two-Tuple Linguistic Bipolar Fuzzy Sets.