There exists a large amount of literature involving vikor theory and application. The multiple attribute merit for compromise ranking was developed from the lpmetric used in the compromise programming method 36. An integrated approach using vikor and entropy methods. The city of rotterdam built a viktor application to integrate sensor data of steel objects to weather data, fem calculations and prediction models. Then, calculation steps based on the collective intervalvalued intuitionistic fuzzy decision matrix and traditional vikor method for solving the magdm problems with intervalvalued intuitionistic fuzzy assessments. Vikor method the vikor method was developed for multicriteria optimization of complex systems. Pdf application of a modified vikor method for decision. Apr 24, 2018 mcdm method based on euclidean distance from the ideal solution correction in the formula of normalization under root summation j1 to n should be replaced with i1 to n.
Analysis of the gradient method with an armijowolfe line search on a class of nonsmooth convex functions. It is obviously the best approach method for optimization of energy chains in the multicriteria decision making, which solves the selection problem of an optimal energy production. The vikor method is a compromise ranking method for optimizing the decisionmaking process. This shows that the vikor method is a multicriteria decisionmaking technique which has a simple computational procedure and that allows simultaneous consideration of the closeness to the ideal and antiideal alternatives.
Robust inventory system optimization based on simulation and. Accordingly, this study employs the vikor method, which is a compromise ranking method used for multicriteria decision making mcdm, to optimize the multiresponse process. The dss application requires the quality characteristics and the level of parameters affecting the problem. There are several ranking selection methods with optimization, like distancetotarget. Optimization of limonene microencapsulation based on native. It was originally developed by serafim opricovic to solve decision problems with conflicting and noncommensurable different units criteria, assuming that compromise is acceptable for conflict resolution, the decision maker wants a solution that is the closest to the ideal, and the. Then the analysis of variance anova technique is used to determine the significance of the process parameters on the vikor index. Optimization of multiresponse processes using the vikor. Yingyu and dejian 2011 extended the vikor method for decision making problems with ratings of alternatives 69.
Thus, this research proposes a new vikor method to solve this problem. The optimization software will deliver input values in a, the software module realizing f will deliver the computed value f x and, in some cases, additional. Algorithms and software for complementarity, variational inequalities and equilibrium problems, and also for solving inverse problems, etc. Salmasnia, a robust posterior method to multiresponse optimization using the vikor method, adv. Oct 20, 2019 optimization of machining process parameters turning, drilling, milling etc. The vikor method is a multicriteria decision making mcdm or multicriteria decision. This method was developed by opricovic and is the abbreviation of expression that in serbian means multiple criteria optimization and compromising solutions. Ab1, corresponds with the a extrem, and ab2, represents the b extrem of the domain of each criterion. Vikor concentrates on ranking and selecting from a set of alternatives in the presence of criteria kang and park 2014. I am looking for implementation of fuzzy vikor method either in matlab, r or web. A hybrid fuzzy dematelvikor method for product concept. Multicriteria optimization of civil engineering systems. This technique ranks the alternatives based on two measures. Accordingly, this study employs the vikor method, which is a compromise.
Multi criteria optimization and compromise solution methods or vikor has been. Extension of vikor method for decision making problem with. Pdf comparison of vikor and topsis methods in multiresponse. This study leads to a synthesis of all presented results and concludes that the proposed methods provide comparable results and are effective strategies for tradeoff decisions. The different properties of that type of numbers are also discussed. It determines a compromise solution, providing a maximum utility for the majority and a minimum regret for the opponent.
Ruan, evaluation of software development projects using a. The vikor method was introduced by opricovic in 1998 alinezhad and esfandiari in j optim ind eng 5. This model could be utilized for decision making optimization in supplier selection. A modified vikor method for multiple criteria analysis springerlink. Multiobjective optimization by ratio analysis moora for selection of the best renewable. Wang, optimization of multiresponse processes using the vikor method, the international journal of advanced manufacturing technology 31 2007 10491057. A comparative analysis of vikor method and its variants. Do you know any software implemetation of fuzzy vikor method. International journal of novel research in computer science and software engineering vol. The relationship coefficient was calculated with the help of minitab. Its concept originates in compromise solutions, in particular the vikor method. Serbian name vikor vlse kriterijumska optimizacija kompromisno resenje means multicriteria optimization and compromise solution.
Numerical modeling and optimization of machining duplex. Modeling and simulation of queuing systems using stochastic. Simply enter in any excel file that is included in the file, then execute it in the software file and run it. Selection of best renewable energy source by using vikor. A madm model with vikor method for decision making. Development of a spreadsheet dss for multiresponse. Algorithms and software for convex mixed integer nonlinear programs. Selection of suppliers is the precondition and foundation of supply chain operation. Vikor method depends on linear normalization though topsis method utilized vector normalization. The study analyzes 25 related experiential professors. Vikor method is based on compromising solutions which is the result of yu and zeleny studies. Topsis technique for order preference by similarity to. Multirepon optimization in the taguchi method can be done by using the vikor and topsis approach, which are based on the concept that the best chosen alternative not only has the shortest distance.
Extension of vikor method for multiattribute group. Frist time to apply the vikor method in corrosion related decision making. It is an important aspect to choose the best supplier for supply chain management. Thus, the vikor technique is found to be an appropriate decision method akman 2015. Applying vikor technique in the evaluation of management associate work performance for small and medium enterprises.
The vikor method was developed for multicriteria optimization of complex systems. Based on the basic ideal of traditional vikor method, we establish an optimization. It determines the compromise solution and best solution from a set of alternatives. It has been adapted to sources of information with sundry formats. It determines the compromise rankinglist, the compromise solution, and the weight stability intervals for preference stability of the compromise solution obtained with the initial given weights. Application of a modified vikor method for decisionmaking problems in lean tool selection. Extension of vikor method for multiattribute group decision. The paper in 2004 contributed to the international recognition of the vikor method. Design optimization of a mechatronic device in the.
The vikor method was developed to solve multiple criteria decision making mcdm problems with conflicting or. In this chapter, we discuss the vikor method for solving mcdm problem with interval valued neutrosophic number. Multicriteria personnel selection by the modified fuzzy. An extended vikor method is presented to solve the magdm problems in which the attribute weights. The vikor method was developed for multi criteria optimization of complex systems. An extended vikor method using stochastic data and. Based on the basic ideal of traditional vikor method, we establish an optimization model to determine the weights of attributes. Abstract since investment in employee education and development represents a significant capital expenditure, the.
It deals with evaluating interdependent relationships among factors and finding the critical ones through a visual structural model. Browse the list of issues and latest articles from optimization methods and software. The compromise solution method, also known as the vikor method was introduced as one applicable technique to implement within madm. Numerical modeling and optimization of machining duplex stainless steels rastee d. This method focuses on ranking and selecting from a set of alternatives in the.
Simulation to understand how shifting, triaging and eliminating work steps can dramatically improve revenue, cost, customer experience and compliance link. The entropy weight measurement method evaluates the individual weights of each response and, using vikor method, the multiobjective responses are optimized to get a single numerical index known as vikor index. Cd1, corresponds with the c extrem, and cd2, represents the d extrem of the ideal reference of each. Vikor method ranks the alternatives and finds out the solution with compromise and closeness to the ideal solution. The vikor method was developed to solve mcdm problems with conflicting and with different units criteria, assuming that compromising is accepted for conflict resolution, the decision maker wants a. Fuzzy vikor optimization for designing high performance. This method focuses on ranking and selecting from a set of alternatives and determines compromise solutions for a problem with conflicting criteria, which can help the decisionmakers to reach a final decision 50 52. The use of optimization software requires that the function f is defined in a suitable programming language and connected at compile or run time to the optimization software. The relationship coefficient was calculated with the help of minitab programming to evaluate the rank coefficient between these two methods. Koyeea, siegfried schmauderb, uwe heisela and rocco eisselera ainstitute for machine tools, university of stuttgart, holzgartenstr. Opricovic and tzeng in comput aided civ infrastruct eng 17. Such an optimization with a large variation of quality losses among the responses is usually unacceptable to engineers.
An extended vikor method for ranking online graduate business. This is a unique, datadriven approach that combines precise, molecular pathogen and resistance gene detection with sensitivity and susceptibility data. Pages in category mathematical optimization the following 118 pages are in this category, out of 118 total. Empirical and theoretical comparisons of several nonsmooth minimization methods and software. In a mcdm problem, a decision maker has to choose the best alternative that satisfies the evaluation criteria among a set of candidate solutions. Multicriteria optimization and compromise solution, with pronunciation. The vikor method has been developed as an mcgdm method to solve a discrete multicriteria problem with noncommensurable and conflicting criteria. The vikor methodology vlse kriterijumska optimizacija i kompromisno resenje, the serbian name, means multicriteria optimization and compromise solution 8 was first introduced by opricovic 9 and opricovic and tzeng 1012. The systematic classification covers different application areas. Selecting the construction projects using fuzzy vikor approach. So in this study, the fuzzy vikor method with shannon entropy weighting method was used for optimizing electrospun scaffold for bone tissue healing. Fiber diameter and distribution, surface and volume porosity, fiber alignment, surface roughness, and stable es process were the 7 criteria considered in this study and 40 electrospun scaffolds were ranked with the fuzzy method by these criteria, then bestranked samples redesigned.
In computer science, program optimization or software optimization is the process of modifying a software system to make some aspect of it work more efficiently or use fewer resources. An extended vikor method for ranking online graduate. It is used in the calculation of the q index for vikor method. Optimization of multiresponse processes using the vikor method. This method focuses on ranking and selecting from a set of alternatives in the presence of conflicting criteria. In general, a computer program may be optimized so that it executes more rapidly, or to make it capable of operating with less memory storage or other resources. Benchmarking derivativefree optimization algorithms. Vikor method for group decision making problems with. Selecting the construction projects using fuzzy vikor.
Over the recent decade, a large number of studies have been done on. In this text, there is a description of multicriteria optimization application and the vikor method for the selection of optimal and sustainable energy supply process. An extended vikor method using stochastic data and subjective judgments madjid tavanaa,b. The vikor method introduces the ranking index based on the particular measure of closeness to the ideal solution by using linear normalization. Multicriteria personnel selection by the modified fuzzy vikor. The sample collection method for pcr testing is much easier than for culture due to the lack of limiting factors like volumesize of the sample, temperature, time or concomitant medication usage. It can be considered as multicriteria decision making mcdm problem. This includes in particular conic, semidefinite, mixed integer, network, nonsmooth, multiobjective and global optimization by deterministic or nondeterministic algorithms. It determines the compromise ranking list and the compromise solution obtained with the initial given weights. A madm model with vikor method for decision making support. Vikor multicriteria optimization and compromise solution was presented for the first time by opricovic 1998. The vikor method is a multicriteria decision making mcdm or multicriteria decision analysis method. The main procedure of the vikor method is described below.
In this paper rank achieved by topsis and vikor are compared by the help of sdi software tool. It was originally developed by serafim opricovic to solve decision problems with conflicting and noncommensurable different units criteria, assuming that compromise is acceptable for conflict resolution, the decision maker wants a solution that. The method focuses on ranking and selecting from a set of alternatives, and determines compromise solution for a problem with conflicting criteria, which can help decision makers obtain a final decision. We contribute to that strand on literature with a design of a new multiple. It determines the rankinglist, the compromise solution, and the weight stability intervals for preference stability of the compromise solution obtained with the initial given weights. First we define intervalvalued neutrosophic number. The mcdm method is an extensively applied tool for. This approach considers closeness to ideal solution. Journal of engineering for the maritime environment 2019 234. Compromise solution will be presented by comparing the degree of. The vikor method was developed for multicriteria optimization of complex. Application of fuzzy vikor method for the evaluation and. Finally, a comparison is made between an improved vikor method and a fuzzy measure and choquet integral approach, related to their optimization tradeoff decisions.
Decision making trial and evaluation laboratory dematel is considered as an effective method for the identification of causeeffect chain components of a complex system. The basic principle of the topsis is that the chosen alternative should have the shortest distance from the ideal solution and the farthest distance from the negativeideal solution 37. Energy chains optimization for selection of sustainable. Exploring the role of advertising types on improving the. Vikor method for decision making problems in interval valued. Vikor scientific introduces abxassist, an intelligent, molecular diagnostic solution that can be accessed from any mobile device, webportal or ehr. Optimization of machining process parameters turning, drilling, milling etc. Visekriterijumska optimizacija i kompromisno resenje, that means. Vikor stands for viekriterijumsko kompromisno rangiranje, a serbian term for multicriteria optimization and compromise solution. Applying vikor technique in the evaluation of management.
In this paper, we first utilize the induced intervalvalued intuitionistic fuzzy hybrid averaging iiifha operator to aggregate all individual intervalvalued intuitionistic fuzzy decision matrices provided by the decision makers into a collective intervalvalued intuitionistic fuzzy decision matrix. The vikor methodology stands out as an important multicriteria decisionmaking technique. Vikor method for selecting universities for future development based on innovation. This method focuses on ranking and selecting from a set of alternatives and determines compromise solutions for a problem with conflicting criteria, which can help the decisionmakers to reach a final decision 5052. For this, in the first step by trial and error, the. These methods are integrated into the taguchi method to convert the multiresponse optimization problem to a singleresponse problem. The method can be defined as a multicriteria optimization of complex systems 11, 12 and. Vikor method defines ideal solutions and negativeideal solutions firstly, and then sorts the alternatives and choose the best one in the light of all values of. The vikor method based on intuitionistic language multicriteria is applied in this paper for evaluating auto parts suppliers, and the efficiency and practicability of the related evaluating principles and ways are also verified through empirical studies. Optimization of limonene microencapsulation based on. Group decisionmaking based on the vikor method with. Optimization opportunities vary across functions and industries but tend to fall into three major opportunity areas.
Application of fuzzy vikor method for the evaluation and selection of a suitable tugboat abit balin, bekir sener, and hakan demirel proceedings of the institution of mechanical engineers, part m. The purpose of this study is selecting type of university that can create its competitive advantages in a changing world. Vikor method for group decision with ordinal interval numbers vikor method is a multiattribute decision making method and firstly proposed by opricovic in 1998. The proposed system considers three multicriteria decisionmaking methods. A madm model with vikor method for decision making support systems 1v. Heijmans built a viktor application to automate reinforcement design of concrete plates used in all kind of applications, integrating fem software and reinforcement applications. Vikor method and its variants the mathematical formulations and procedural steps of the original vikor method and its five variants are detailed out hereinunder. The vikor method is a compromise ranking approach for multiple criteria decision making mcdm problems. Vikor is an effective tool in multicriteria decision making, particularly in a. Matlab software implementing a primaldual interior method for sparse linear programming, least squares, or convex optimization subject to linear constraints \axb\, \l \le x \le u\. Vikor method for selecting universities for future develop. Selection of suppliers based on vikor algorithm ieee.