The α-Representation Inexact T2 Fuzzy Sets Programming Model for Water Resources Management of the Southern Min River Basin under Uncertainty

In this study, a new α-representation of the inexact T2 fuzzy sets programming model (α-RITF2SP) is proposed for water resources planning under uncertainties. The developed model is a hybrid of inexact type-2 (T2) fuzzy sets (FSs) optimal programming based on α-cuts and α-planes (z-slices) algorithm...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 10; no. 11; p. 579
Main Authors Jin, Lei, Fu, Haiyan, Kim, Younggy, Wang, Li, Cheng, Huiyan, Huang, Guohe
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 02.11.2018
Subjects
Algorithms
Allocations
Decision making
Fuzzy sets
Integer programming
Linear programming
Methods
Optimization
Probability
Programming
Regional development
Representations
River basins
type 2 fuzzy sets
Uncertainty
Wastewater treatment
water resources
Water resources management
Water shortages
Water supply
α-cuts
α-planes
Min River
China
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Summary:In this study, a new α-representation of the inexact T2 fuzzy sets programming model (α-RITF2SP) is proposed for water resources planning under uncertainties. The developed model is a hybrid of inexact type-2 (T2) fuzzy sets (FSs) optimal programming based on α-cuts and α-planes (z-slices) algorithms, and both can be used in problems of water resource management without a loss of generality. Therefore, this novel method represents a complementary method to combine both of these algorithms to make inexact T2FSs methods easier and faster for users under uncertainties. This method provides not only a reduction in computations when computing fuzzy functions, but also a map of the primary variable of T2FSs in the secondary membership function. The α-RITF2SP is applied to a real case study of the operation of water resource systems in the southern Min River basin that involves three cities: Xiamen, Zhangzhou, and Quanzhou. The results of the water allocations and benefits have been analyzed. The symptoms of results indicate the higher profit with a higher wastewater treatment rate. It also represents that this model has enhanced abilities and it is relevant and practical as well as can serve as a guide for the development of this regional economy.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym10110579