A Brief Introduction to Fuzzy Optimization and Fuzzy Mathematical Programming

2019 ◽  
pp. 31-45
Author(s):  
Amarpreet Kaur ◽  
Janusz Kacprzyk ◽  
Amit Kumar
Keyword(s):  
Mathematical Programming ◽  
Fuzzy Optimization ◽  
Fuzzy Mathematical Programming

CREDIBILITY-BASED FUZZY MATHEMATICAL PROGRAMMING MODEL FOR PORTFOLIO SELECTION UNDER UNCERTAINTY

2014 ◽  
Vol 13 (01) ◽  
pp. 101-135 ◽  
Author(s):  
MUKESH KUMAR MEHLAWAT ◽  
PANKAJ GUPTA
Keyword(s):  
Mathematical Programming ◽  
Portfolio Selection ◽  
Programming Model ◽  
Fuzzy Optimization ◽  
Chance Constrained Programming ◽  
Fuzzy Mathematical Programming ◽  
Mathematical Programming Model ◽  
Two Phase ◽  
Solution Approach ◽  
Practical Applications

In this paper, we develop a hybrid bi-objective credibility-based fuzzy mathematical programming model for portfolio selection under fuzzy environment. To deal with imprecise parameters, we use a hybrid credibility-based approach that combines the expected value and chance constrained programming techniques. The model simultaneously maximizes the portfolio return and minimizes the portfolio risk. We also consider an additional important criterion, namely, portfolio liquidity as a constraint in the model to make it better suited for practical applications. The proposed fuzzy optimization model is solved using a two-phase approach. An empirical study is included to demonstrate applicability of the proposed model and the solution approach in real-world applications of portfolio selection.

Design of stand-alone electrification systems using fuzzy mathematical programming approaches

Energy ◽  
2021 ◽  
pp. 120639
Author(s):  
R. Galleguillos-Pozo ◽  
B. Domenech ◽  
L. Ferrer-Martí ◽  
R. Pastor
Keyword(s):  
Mathematical Programming ◽  
Fuzzy Mathematical Programming
Sign in / Sign up

Export Citation Format

Share Document