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Fuzzy Optimization and Decision Making

Erschienen in:

11.10.2016

Relations among efficient solutions in uncertain multiobjective programming

verfasst von: Mingfa Zheng, Yuan Yi, Zutong Wang, Tianjun Liao

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 3/2017

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Abstract

Based on uncertainty theory, this work deals with the relations among concepts of efficient solutions for uncertain multiobjective programming (UMOP) problems. Firstly, the UMOP model with uncertain vectors in objective functions is presented. Secondly, seven types of concepts of efficient solutions for the UMOP model, such as expected-value standard-deviation efficiency, expected-value properly efficiency, efficiency with belief degrees etc., are defined. Finally, the relations of these different efficiency concepts, especially the expected-value standard-deviation efficiency and efficiency with belief degrees, are established under certain conditions, and two numerical examples are given to illustrate these theoretical results. Our work helps to determine what types of efficient solutions are obtained by each of these concepts and also provides theoretical foundation for multiple attribute decision-making in uncertain systems.

Vorheriger Artikel Imprecise stochastic orders and fuzzy rankings

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Titel: Relations among efficient solutions in uncertain multiobjective programming
verfasst von: Mingfa Zheng
Yuan Yi
Zutong Wang
Tianjun Liao
Publikationsdatum: 11.10.2016
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 3/2017
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-016-9252-x

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