General De Novo Programming Problem Under Type-2 Fuzzy Environment

被引:0
作者
Susanta Banik
Debasish Bhattacharya
机构
[1] National Institute of Technology Agartala,Department of Mathematics
来源
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences | 2024年 / 94卷
关键词
De novo programming; Interval type-2 fuzzy set; Defuzzification; Multi-objective optimization; Min–max goal programming; 90C29; 90C90; 90C70;
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暂无
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学科分类号
摘要
The de novo programming technique is used to design an optimal system when the objectives and constraints are linear. It was initially introduced with crisp parameters. Later, de novo programming with fuzzy parameters has been studied to make it more flexible. But the fuzzy set has its limitations too. On the other hand, type-2 fuzzy sets are capable of embracing even those uncertainties that have not been covered or addressed by fuzzy sets. So the general de novo programming problem with interval type-2 fuzzy parameters has been introduced and studied here to make the system more reliable by removing the shortcomings of the human thinking process. This makes de novo programming better for modelling real-life problems than a fuzzy (type-1 fuzzy) logic-based system. The solution procedures for the proposed problem have been illustrated by a solid transportation problem.
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页码:99 / 112
页数:13
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