Posynomial geometric programming problem subject to max–min fuzzy relation equations

• Published in: Information sciences Vol. 328; pp. 15 - 25
• Main Authors: Zhou, Xue-Gang, Yang, Xiao-Peng, Cao, Bing-Yuan
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 20.01.2016
• Subjects: Equivalence; Fuzzy; Fuzzy logic; Fuzzy relation equation; Fuzzy set theory; Mathematical analysis; Mathematical models; Max–min composition; Optimization; Posynomial geometric programming; Programming; Max–min composition; Posynomial geometric programming; Fuzzy relation equation

We discuss a class of posynomial geometric programming problem(PGPF), aimed at minimizing a posynomial subject to fuzzy relational equations with max–min composition. By introducing auxiliary variables, we convert the PGPF into an equivalent programming problem whose objective function is a non-decr...