Şahin R.Liu P.20.04.20192019-04-2020.04.20192019-04-2020160941-0643https://dx.doi.org/10.1007/s00521-015-1995-8https://hdl.handle.net/20.500.12403/580This 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.eninfo:eu-repo/semantics/closedAccessAggregation operatorsInterval neutrosophic setsMaximizing deviation methodNeutrosophic multiple attribute decision makingNeutrosophic setsSingle-valued neutrosophic setsMathematical operatorsNonlinear programmingOptimizationStatistical methodsAggregation operatorInterval neutrosophic setsMaximizing deviation methodMultiple attribute decision makingNeutrosophic setsDecision makingAggregation operatorsInterval neutrosophic setsMaximizing deviation methodNeutrosophic multiple attribute decision makingNeutrosophic setsSingle-valued neutrosophic setsMathematical operatorsNonlinear programmingOptimizationStatistical methodsAggregation operatorInterval neutrosophic setsMaximizing deviation methodMultiple attribute decision makingNeutrosophic setsDecision makingArticle2772017202910.1007/s00521-015-1995-82-s2.0-84938530645Q1WOS:000382131300018Q2