TY - CHAP
T1 - Regret Minimization Model
AU - Li, Xiang
N1 - Publisher Copyright:
© 2013, Springer-Verlag Berlin Heidelberg.
PY - 2013
Y1 - 2013
N2 - Distance between fuzzy quantities, used to represent the degree of difference, is a powerful concept in many disciplines of science and engineering. Within the framework of credibility theory, Liu gave an Euclidean distance based on the concept of expected value. Furthermore, Li and Liu proved the triangle inequality and the completeness of the fuzzy metric space. Based on the worst regret criterion, Li et al. proposed a fuzzy regret minimization model to minimize the distance between the fuzzy objective values and the best values. This chapter mainly introduces the concept of distance, regret minimization model, and applications in the portfolio selection problem.
AB - Distance between fuzzy quantities, used to represent the degree of difference, is a powerful concept in many disciplines of science and engineering. Within the framework of credibility theory, Liu gave an Euclidean distance based on the concept of expected value. Furthermore, Li and Liu proved the triangle inequality and the completeness of the fuzzy metric space. Based on the worst regret criterion, Li et al. proposed a fuzzy regret minimization model to minimize the distance between the fuzzy objective values and the best values. This chapter mainly introduces the concept of distance, regret minimization model, and applications in the portfolio selection problem.
KW - Credibility Theory
KW - Fuzzy Objective Value
KW - Fuzzy Portfolio Selection Problem
KW - Fuzzy Quantities
KW - Regret Degree
UR - https://www.scopus.com/pages/publications/85125847587
U2 - 10.1007/978-3-642-36376-4_7
DO - 10.1007/978-3-642-36376-4_7
M3 - Chapter
AN - SCOPUS:85125847587
T3 - Uncertainty and Operations Research
SP - 131
EP - 141
BT - Uncertainty and Operations Research
PB - Springer Nature
ER -