Fuzzy genetic algorithm and applications

A review of credibilistic portfolio selection

“…Fuzzy simulation has been studied by many scholars such as Bruckley and Hayashi (1994), Liu and Iwamura (1998), Liu (1998), andColubi et al (2002). In particular, Liu (2002) introduced the technique based on the concept of credibility and Liu (2006b) discussed the convergence of fuzzy simulation.…”

Parallel machine scheduling models with fuzzy processing times

“…They have been well documented in the literature, such as in [27], and have been applied to a wide variety of optimization problems. In particular, Liu and Iwamura [18,19], Liu [21,22], Buckley and Hayashi [4], and Buckley and Feuring [5] designed a spectrum of GAs to solve fuzzy programming models. For detailed expositions, the readers may consult Liu [20,23] in which numerous GAs have been suggested for solving uncertain programming models.…”

Tabu search for fuzzy optimization and applications

“…However, we cannot maximize Y since it is a fuzzy set. We use the centroid of Y to measure the largeness of Y , which is the same as that in [5]. Now we wish to find X in ½0; M to maximize the centroid h…”

“…In the last past years, several kinds of fuzzy optimization problems have appeared in literatures [2][3][4][5]7,12,13] and obviously with them different approaches of resolution have been proposed too. Among the many methods presented in literatures, we mention the fuzzy genetic algorithm (FGA), proposed by Buckley and Hayashi [5], which can produce good approximate solution in solving fuzzy optimization problems. But it should be pointed out that the FGA is too computational expensive.…”