Maximizing deviation method for neutrosophic multiple attribute decision making with incomplete weight information
Küçük Resim Yok
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag London Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper develops a method for solving the multiple attribute decision-making problems with the single-valued neutrosophic information or interval neutrosophic information. We first propose two discrimination functions referred to as score function and accuracy function for ranking the neutrosophic numbers. An optimization model to determine the attribute weights that are partly known is established based on the maximizing deviation method. For the special situations where the information about attribute weights is completely unknown, we propose another optimization model. A practical and useful formula which can be used to determine the attribute weights is obtained by solving a proposed nonlinear optimization problem. To aggregate the neutrosophic information corresponding to each alternative, we utilize the neutrosophic weighted averaging operators which are the single-valued neutrosophic weighted averaging operator and the interval neutrosophic weighted averaging operator. Thus, we can determine the order of alternatives and choose the most desirable one(s) based on the score function and accuracy function. Finally, some illustrative examples are presented to verify the proposed approach and to present its effectiveness and practicality. © 2015, The Natural Computing Applications Forum.
Açıklama
Anahtar Kelimeler
Aggregation operators, Interval neutrosophic sets, Maximizing deviation method, Neutrosophic multiple attribute decision making, Neutrosophic sets, Single-valued neutrosophic sets, Mathematical operators, Nonlinear programming, Optimization, Statistical methods, Aggregation operator, Interval neutrosophic sets, Maximizing deviation method, Multiple attribute decision making, Neutrosophic sets, Decision making, Aggregation operators, Interval neutrosophic sets, Maximizing deviation method, Neutrosophic multiple attribute decision making, Neutrosophic sets, Single-valued neutrosophic sets, Mathematical operators, Nonlinear programming, Optimization, Statistical methods, Aggregation operator, Interval neutrosophic sets, Maximizing deviation method, Multiple attribute decision making, Neutrosophic sets, Decision making
Kaynak
Neural Computing and Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
27
Sayı
7
