期刊
AXIOMS
卷 7, 期 1, 页码 -出版社
MDPI
DOI: 10.3390/axioms7010013
关键词
neutrosophic number; neutrosophic number function; neutrosophic number nonlinear programming; neutrosophic number optimal solution
资金
- National Natural Science Foundation of China [71471172, 61703280]
In practical situations, we often have to handle programming problems involving indeterminate information. Building on the concepts of indeterminacy I and neutrosophic number (NN) (z = p + qI for p is an element of q ), this paper introduces some basic operations of NNs and concepts of NN nonlinear functions and inequalities. These functions and/or inequalities contain indeterminacy I and naturally lead to a formulation of NN nonlinear programming (NN-NP). These techniques include NN nonlinear optimization models for unconstrained and constrained problems and their general solution methods. Additionally, numerical examples are provided to show the effectiveness of the proposed NN-NP methods. It is obvious that the NN-NP problems usually yield NN optimal solutions, but not always. The possible optimal ranges of the decision variables and NN objective function are indicated when the indeterminacy I is considered for possible interval ranges in real situations.
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