Neutrosophic Linear Equations and Application in Traffic Flow Problems

Ye, Jun

doi:10.3390/a10040133

Cited by 11 publications

(7 citation statements)

References 11 publications

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“…For example, Ye et al [24,25] and Chen et al [26,27] proposed expressions of neutrosophic function and applied NNs in analyzing the joint roughness coefficient. Later, Ye [28] used neutrosophic linear equations of NNs to solve traffic flow problems.…”

Section: Introductionmentioning

confidence: 99%

Neutrosophic Number Optimization Models and Their Application in the Practical Production Process

Wang

2021

Journal of Mathematics

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In order to simplify the complex calculation and solve the difficult solution problems of neutrosophic number optimization models (NNOMs) in the practical production process, this paper presents two methods to solve NNOMs, where Matlab built-in function “fmincon()” and neutrosophic number operations (NNOs) are used in indeterminate environments. Next, the two methods are applied to linear and nonlinear programming problems with neutrosophic number information to obtain the optimal solution of the maximum/minimum objective function under the constrained conditions of practical productions by neutrosophic number optimization programming (NNOP) examples. Finally, under indeterminate environments, the fit optimal solutions of the examples can also be achieved by using some specified indeterminate scales to fulfill some specified actual requirements. The NNOP methods can obtain the feasible and flexible optimal solutions and indicate the advantage of simple calculations in practical applications.

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Section: Introductionmentioning

confidence: 99%

Neutrosophic Number Optimization Models and Their Application in the Practical Production Process

Wang

2021

Journal of Mathematics

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“…Ye [11] further proposed the concept of a simplified neutrosophic set, including the concepts of single valued neutrosophic set and interval neutrosophic set. Subsequently, researchers have solved many practical engineering problems based on the theory of neutrosophic set, such as fault diagnosis [12,13], Multiattribute group decision making [14,15], linear and nonlinear programming [16], linear equation of traffic flow [17], and roughness coefficient of rock discontinuity [18].…”

Section: Introductionmentioning

confidence: 99%

Design of Neutrosophic Self-Tuning PID Controller for AC Permanent Magnet Synchronous Motor Based on Neutrosophic Theory

Zhang¹,

Liu

Ruan

et al. 2021

Mathematical Problems in Engineering

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In practical control applications, AC permanent magnet synchronous motors need to work in different response characteristics. In order to meet this demand, a controller which can independently realize the different response characteristics of the motor is designed based on neutrosophic theory and genetic algorithm. According to different response characteristics, neutrosophic membership functions are constructed. Then, combined with the cosine measure theorem and genetic algorithm, the neutrosophic self-tuning PID controller is designed. It can adjust the parameters of the controller according to response requirements. Finally, three kinds of controllers with typical system response characteristics are designed by using Simulink. The effectiveness of the designed controller is verified by simulation results.

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“…Further, Ye [16] and Chen et al [17,18] presented expressions and analyses of the joint roughness coefficient using NNs. Ye [19] proposed the use of neutrosophic linear equations and their solution methods in traffic flow problems with NN information.…”

Section: Introductionmentioning

confidence: 99%

Neutrosophic Number Nonlinear Programming Problems and Their General Solution Methods under Neutrosophic Number Environments

Cui

2018

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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, q ∈ R), 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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Neutrosophic Linear Equations and Application in Traffic Flow Problems

Cited by 11 publications

References 11 publications

Neutrosophic Number Optimization Models and Their Application in the Practical Production Process

Neutrosophic Number Optimization Models and Their Application in the Practical Production Process

Design of Neutrosophic Self-Tuning PID Controller for AC Permanent Magnet Synchronous Motor Based on Neutrosophic Theory

Neutrosophic Number Nonlinear Programming Problems and Their General Solution Methods under Neutrosophic Number Environments

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