Editorial Mathematical Tools of Soft Computing 2014downloads.hindawi.com/journals/mpe/2015/234176.pdf · Editorial Mathematical Tools of Soft Computing 2014 Ker-WeiYu, 1 YangXu, 2

EditorialMathematical Tools of Soft Computing 2014

Ker-Wei Yu,1 Yang Xu,2 and Jer-Guang Hsieh3

1Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung 81157, Taiwan2Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China3Department of Electrical Engineering, I-Shou University, Kaohsiung 84001, Taiwan

Correspondence should be addressed to Ker-Wei Yu; [email protected]

Received 27 October 2014; Accepted 27 October 2014

Copyright © 2015 Ker-Wei Yu et al. This is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

It is an important and promising topic that applies the softcomputing techniques on engineering problems. Many suc-cessful applications in diverse fields using the soft computingtechniques have been reported. This special issue representsthe recent developments of the mathematical tools andalgorithms of soft computing to solve formal and practicalproblems arising from engineering areas. We have collectedthirty papers in this special issue, which are summarized asfollows.

In the paper “A hybrid metaheuristic-based approach forthe aerodynamic optimization of small hybrid wind turbinerotors” by J. F.Herbert-Acero et al., the authors present a novelframework for the aerodynamic design and optimization ofblades for small horizontal axis wind turbines. Based on theexperimental results, improvements in terms of the aero-dynamic efficiency, the cut-in wind speed, and the amountof material used during the manufacturing process can beachieved.

The opposition-based learning strategy and free searchoperator are embedded into the krill herd optimization algo-rithm to form a new opposition-based free search krill herdoptimization algorithm for function learning problems inthe paper “A free search krill herd algorithm for functionsoptimization” by L. Li et al. Fourteen benchmark functionswere tested. It is claimed that, comparedwith some other evo-lutionary computation algorithms, the proposed algorithmshows better performance and robustness.

In the paper “A hybrid optimized weighted minimumspanning tree for the shortest intrapath selection in wirelesssensor network” by M. Saravanan and M. Madheswaran,

a novel hybrid evolutionary algorithm, called bee algorithm-simulated annealing weighted minimal spanning tree rout-ing, is proposed in which randomly deployed sensor nodesare split into the best possible number of independentclusters with cluster head and optimal route. Some numericalsimulations are given to illustrate the proposed method.

A novel adaptive elite-based PSO approach is proposedin “A novel adaptive elite-based particle swarm optimizationapplied to VAR optimization in electric power systems” by Y.-Y. Hong et al. A realistic loss minimization problem in anelectric power system is studied to show the robustness of theproposed method.

A new method for rigid video object recognition is pre-sented in the paper “An innovative SIFT-based method forrigid video object recognition” by J. Yu et al. It is claimed thatthe new method can improve greatly the completeness ofthe feature database of the target video object automatically,which in turn increases drastically the ratio of correctrecognition, at the expense of more affordable computationtime in millisecond level.

In the paper “Attribute extended algorithm of lattice-valued concept lattice based on congener formal context” byL. Yang and Y. Xu, the definitions of attribute extendedformal context and congener formal context are given. Undersome mild condition, necessary and sufficient conditions offorming attribute values are derived. Based on these condi-tions, the algorithms of generating lattice-valued congenerformal context and establishing concept lattice are developed,by which one can construct algorithms for lattice-valuedconcept lattices in distributed and parallel systems.

Hindawi Publishing CorporationMathematical Problems in EngineeringVolume 2015, Article ID 234176, 3 pageshttp://dx.doi.org/10.1155/2015/234176

2 Mathematical Problems in Engineering

The paper entitled “Comparing the selected transfer func-tions and local optimization methods for neural network floodrunoff forecast” by P. Maca et al. analyzes the influenceof the selection of the transfer functions and the trainingalgorithms on neural network for flood runoff forecast. Nineof the most significant flood events, caused by the extremerainfall, were selected from 10 years of measurements onsmall headwater catchment in the Czech Republic, and floodrunoff forecast was investigated using the extensive set ofmultilayer perceptrons with one hidden layer of neurons.

A two-dimensional continuous genetic algorithm is pro-posed to numerically solve the Stokes and nonlinear NavierStokes problems in “Continuous genetic algorithm as a novelsolver for Stokes and nonlinear Navier Stokes problems” by Z.S. Abo-Hammour et al. The simulation results showed thatthe proposed continuous genetic algorithm has an excellentaccuracy as compared to some other numerical solvers.

The paper “Dealing with nonregular shapes packing” by B.A. Junior et al. addresses the irregular strip packing problem,a particular two-dimensional cutting and packing problem inwhich convex and nonconvex shapes (polygons) have to bepacked onto a single rectangular object. An approach is pro-posed that prescribes the integration of a metaheuristicengine (i.e., genetic algorithm) and a placement rule (i.e.,greedy bottom-left rule). Computational experiments per-formed on standard benchmark problems, as well as practicalcase studies developed in the ambit of a large textile industry,are reported and discussed.

A new derivative-based trapezoid rule for the Riemann-Stieltjes integral is proposed in the paper “Derivative-basedtrapezoid rule for the Riemann-Stieltjes integral” by W. Zhaoand Z. Zhang. This new rule may increase two orders ofprecision over the trapezoid rule for the Riemann-Stieltjesintegral. The rationality of the generalization of derivative-based trapezoid rule for Riemann-Stieltjes integral is alsodemonstrated.

Network-based control systems have become emergingtechnologies in the control of nonlinear systems over thepast few years. The paper entitled “Discrete globalised dualheuristic dynamic programming in control of the two-wheeledmobile robot” by M. Szuster and Z. Hendzel focuses on theimplementation of the approximate dynamic programmingalgorithm in the network-based tracking control system ofthe two-wheeled mobile robot, Pioneer 2-DX. The proposeddiscrete tracking control system consists of the globaliseddual heuristic dynamic programming algorithm, the PDcontroller, the supervisory term, and an additional controlsignal. The performance of the proposed control system wasverified by a series of computer simulations and experimentsrealised using the wheeled mobile robot Pioneer 2-DX.

Energy consumption has become a more and moreimportant issue in computer systems. In the paper “Energy-aware real-time task scheduling for heterogeneous multipro-cessors with particle swarm optimization algorithm” by W.Zhang et al., the authors first formulate and describe theenergy-aware real-time task scheduling problem in heteroge-neous multiprocessors. Then they propose a particle swarmoptimization based algorithm, which can successfully reduce

the energy cost and the time for searching for feasiblesolutions. Some experimental results are provided.

In the paper “Expert system for competences evaluation360∘ feedback using fuzzy logic” by A. A. A. Lasserre et al.,the authors propose an expert performance evaluation systembased on a fuzzy logic model, with competences 360∘ feed-back oriented to human behavior. The model was validatedin the administrative department of a real Mexican manu-facturing company.The experimental results showed that theproposed method has better performance over some othertraditional 360∘ performance evaluation methods.

In the paper “Extracting credible dependencies for averagedone-dependence estimator analysis” by L. Wang et al., theauthors present a new type of semi-Naive Bayesian operation,which selects superparent attributes by building maximumweighted spanning tree and removes highly correlated chil-dren attributes by functional dependency and canonicalcover analysis. Some experimental comparisons are made onUCI datasets.

Surrogate models can be used, often in conjunction withevolutionary algorithms, in optimizationwhen it is expensiveto test candidate solutions. In the paper “Geometric generali-sation of surrogate model-based optimisation to combinatorialand program spaces” byY.-H. Kim et al., it is shownhow radialbasis functions can provide a generalised surrogate modelfor combinatorial problems which have a geometric solutionrepresentation, through the conversion of that representationto a different metric space.

In the paper “Hybrid soft computing schemes for theprediction of import demand of crude oil in Taiwan” by Y.E. Shao et al., single-stage and two-stage hybrid forecastingmodels are proposed for the prediction of imported crude oilin Taiwan. Real data set of crude oil in Taiwan over the periodof 1993–2010 was tested.

In recent years, grammatical evolution has been used asa representation of genetic programming, which has suc-cessfully been applied in many optimization problems. Inthe paper “Improving the bin packing heuristic through gram-matical evolution based on swarm intelligence” by M. A.Sotelo-Figueroa et al., the authors propose using particle evo-lutionary swarm optimization (PESO) and particle swarmoptimization (PSO) in the frame of grammatical evolutionas strategies to generate heuristics that solve the bin packingproblems.

The supply chain is a major issue in a global market. Inthe paper “Methodology for supply chain integration: a casestudy in the artisan industry of footwear” by J. R. Perez-Gallardo et al., a methodology is proposed for integratingthe supply chain that can be applied in any type of business.To demonstrate its relevance, a case study is performed at ahandmade shoe company.

Due to the fact that the bit reversal process requires con-siderable processing time of the fast Fourier transformation(FFT) algorithm, it is vital to optimize the bit reversal algo-rithm (BRA). An efficient BRA with multiple memory struc-tures is proposed in the paper “Multiple memory structure bitreversal algorithm based on recursive patterns of bit reversalpermutation” by K. K. L. B. Adikaram et al. Some numericalexamples are given to illustrate the proposed method.

Mathematical Problems in Engineering 3

The decision support systems are usually created to helpdecision makers to make complex decisions. In the paper“OrclassWeb: a tool based on the classification methodologyORCLASS from verbal decision analysis framework” by T. C. S.Machado et al., a new tool, calledOrclassWeb, is developed toreproduce the procedure to apply the verbal decision analysismethodology ORCLASS.

A hesitant fuzzy linguistic term set (HFLTS) is very usefulto express people’s hesitancy in practical decision makingproblems. In the paper “Pairwise comparison and distancemeasure of hesitant fuzzy linguistic term sets” by H.-C. Huangand X. Yang, the authors present a comparison method forHFLTSs based on pairwise comparisons of each linguisticterm in the two HFLTSs. Then, a distance measure methodbased on the pairwise comparison matrix of HFLTSs is pro-posed, and this distance is proved to be equal to the distanceof the average values of HFLTSs, which makes the distancemeasuremuchmore simple. Finally, the pairwise comparisonand distance measure methods are utilized to develop twomulticriteria decision making approaches under hesitantfuzzy linguistic environments.

Tourist distribution, a vector reflecting the tourist num-ber of scenic spots in a certain period of time, serves as thefoundation for a scenic spot manager to make a schedulescheme. In the paper “Real-time forecast of tourists distribu-tion based on the improved k-means method” by P. Ren et al.,a forecast model based on improved 𝑘-means method isprovided to forecast tourist distribution. A case study ofJiuzhai Valley is adopted to illustrate the effectiveness of theproposed forecast model.

The trajectory optimization problem subject to terminalimpact time and angle specifications is investigated in thepaper “Receding horizon trajectory optimization with terminalimpact specifications” by L. Zhang et al. A receding horizonoptimization strategy is implemented to reject the errorscaused by the motion of a surface target. Several simulationswere performed to validate the proposed method.

In the paper “The lattice-valued Turing machines and thelattice-valued type 0 grammars” by J. Tang et al., the authorsintroduce a new concept of the 𝐼-valued Turing machine.It can be used to characterize recognition, natural languageprocessing, and dynamic characteristics.

The global warming will lead to rising temperature inTibetan plateau, and it has severe effects to the long-termstability of frozen soil roadbed. In the paper “Simulationanalysis of the long-term stability for frozen soil roadbed” byX. Liu et al., a numerical simulation model is established forthe frozen soil roadbed in Tibetan plateau.

The Triple I method for the model of intuitionistic fuzzymodus tollens (IFMT) satisfies the property of local reduc-tivity but not the reductivity. In order to improve the qual-ity of the Triple I method for the lack of reductivity, a newapproximate reasoning method is proposed for IFMT prob-lem in the paper “The dual Triple I methods of FMT andIFMT” by L. Yan and Z. Mucong.

In the paper “A MOLP method for solving fully fuzzy lin-ear programming with LR fuzzy parameters” by X.-P. Yanget al., a new class of fully fuzzy linear programming (FFLP)problems with LR fuzzy parameters are studied. The FFLP is

converted into amultiobjective linear programming (MOLP)according to the order relation for comparing the LR atfuzzy numbers. Moreover, the classical fuzzy programmingmethod is modified and used to solve theMOLP problems. Anumerical example is given to illustrate the feasibility of theproposed method.

In the paper “A multiobjective optimization algorithmbased on discrete bacterial colony chemotaxis” by Z. Lu et al., adiscrete bacterial colony chemotaxis algorithm is proposed tosolve multiobjective optimization problems. Some numericalresults are given to demonstrate the effectiveness of theproposed method.

A prime objective in constructing data streaming miningmodels is to achieve good accuracy, fast learning, robustnessto noise, and a compact tree size. In the paper “A lightweightdata preprocessing strategy with fast contradiction analysis forincremental classifier learning” by S. Fong et al., a new datapreprocessing strategy is proposed which is suitable for theprogressive purging of noisy data from the training datasetwithout the need to process the whole dataset at one time.This strategy is tested via a computer simulation to show thesignificant benefit of allowing for the dynamic removal of badrecords in the incremental classifier learning process.

In the paper “Multisegment scheme applications to mod-ified Chebyshev Picard Iteration method for highly ellipticalorbits” by D. Kim et al., a modified Cheyshev Picard iterationmethod is proposed for solving orbit propagation initial/boundary value problems. Cosine sampling techniques areused to reduce Runge’s phenomenon that plagues manyseries approximations. The authors suggest a multisegmentmethod to obtain accurate solutions overall regardless ofinitial positions and eccentricity by dividing the given orbitinto two or more segments.

Acknowledgments

Wewish to express our sincere appreciation to the authors fortheir excellent contributions. The hard work of all reviewersis greatly acknowledged. Without them, this special issue cannever become possible.

Ker-Wei YuYang Xu

Jer-Guang Hsieh

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Editorial Mathematical Tools of Soft Computing 2014downloads.hindawi.com/journals/mpe/2015/234176.pdf · Editorial Mathematical Tools of Soft Computing 2014 Ker-WeiYu, 1 YangXu, 2