A triangular type-2 multi-objective linear programming model and a solution strategy

被引：12

作者：

Maali, Yashar ^{[1
]}

Mandavi-Amiri, Nezam ^{[2
]}

机构：

[1] Univ Technol Sydney, Dept Engn, Sydney, NSW 2007, Australia

[2] Sharif Univ Technol, Dept Math Sci, Tehran, Iran

来源：

INFORMATION SCIENCES | 2014年 / 279卷

关键词：

Type-2 fuzzy set; Multi-objective linear optimization; Maxmin approach; Aggregation approach; Fuzzy goal programming; Fuzzy satisfying optimization; FUZZY-SETS; CONTROLLERS; FORMULATION;

D O I：

10.1016/j.ins.2014.04.032

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider a multi-objective linear programming model with type-2 fuzzy objectives. The considered model has the flexibility for the user to specify the more general membership functions for objectives to reflect the inherent fuzziness, while being simple and practical. We develop two solution strategies with reasonable computing costs. The additional cost, as compared to the type-1 fuzzy model, is indeed insignificant. These two algorithms compute Pareto optimal solutions of the type-2 problems, one being based on a maxmin approach and the other on aggregating the objectives. Finally, applying the proposed algorithms, we work out two illustrative examples. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：816 / 826

页数：11

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