Fuzzy chance-constrained programming with linear combination of possibility measure and necessity measure
Year: 2008
Type: article
Abstract: Based on the possibility measure and necessity measure, mλ-measure is presented and some mathematical properties of mλ-measure are also obtained, including continuity, monotonicity, subadditivity, and so on. Critical values of fuzzy variable with respect to mλ-measure are introduced and are employed to construct the fuzzy chance-constrained programming models. To solve the models, genetic algorithm based on fuzzy simulation is designed. Finally, two numerical examples are given to show applications of the models and algorithm.
Authors: Lixing Yang, Kakuzo Iwamura
Institutions: Tsinghua University, Josai University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W84815892