VlseKriterijumska Optimizacija I Kompromisno Resenje Method Research Articles

Charging Method Selection of a Public Charging Station Using an Interval-Valued Picture Fuzzy Bidirectional Projection Based on VIKOR Method with Unknown Attribute Weights

Excessive use of fossil fuel-powered vehicles is a major problem for the entire world today, because of which greenhouse gases are increasing day by day. As a result, climate change and global warming have grown to be serious problems that affect both the environment and life on Earth. However, the effective way of reducing greenhouse gases is to use electric vehicles for commuting. The assessment and selection of the best possible way of charging an electric vehicle is a convoluted decision-making challenge due to the presence of assorted contradictory criteria. Additionally, individual decision makers’ minds and insufficient data are obstacles to doing this. In this regard, interval-valued picture fuzzy sets have been considered as a compatible tool to handle vagueness. In this paper, a multi-attribute group decision-making problem with the bidirectional projection-based VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method is considered where the weights are partially known. The objective weights of the attributes in this model are determined using the deviation-based approach. The compromised solution is also assessed using the VIKOR approach. Both the interval-valued image fuzzy Schweizer–Sklar power weighted geometric operator and the interval-valued picture fuzzy Schweizer–Sklar power weighted averaging operator are used in this process. Lastly, a numerical example showing the most suitable way to charge an electric vehicle is given to demonstrate the suggested methodology. To evaluate the robustness and efficacy of the suggested strategy, a comparative analysis with current techniques and a sensitivity analysis of the parameters are also carried out.

Topological indices based VIKOR assisted multi-criteria decision technique for lung disorders.

Lung disorders involve swelling, inflammation, and muscle tightening around the airways, with symptoms such as coughing, wheezing, shortness of breath, and abnormal fluid build-up. The global prevalence of these conditions is rising, highlighting the need for extensive research to alleviate their severity and symptoms. Due to the chronic nature and recurrence of these disorders, the human body often develops immunity and side effects to certain medications. Therefore, developing novel and appropriate drug combinations is crucial. This study analyzes a dataset of lung disorder drugs, characterized by various topological indices. The structures of 16 drugs used to treat lung disorders are correlated with their physical properties using degree-based graph invariants. When considering specific attributes, the VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje) method provides an optimal ranking for each drug. The QSPR results highlight the effectiveness of this approach in drug prioritization, offering valuable insights for clinical decision-making and drug development. This methodology can enhance the strategic selection of treatments for lung disorders, leading to improved patient care and better resource allocation.

Breast cancer pre-diagnosis based on incomplete picture fuzzy multi-granularity three-way decisions

PurposeThree-way decision (3WD) and probabilistic rough sets (PRSs) are theoretical tools capable of simulating humans' multi-level and multi-perspective thinking modes in the field of decision-making. They are proposed to assist decision-makers in better managing incomplete or imprecise information under conditions of uncertainty or fuzziness. However, it is easy to cause decision losses and the personal thresholds of decision-makers cannot be taken into account. To solve this problem, this paper combines picture fuzzy (PF) multi-granularity (MG) with 3WD and establishes the notion of PF MG 3WD.Design/methodology/approachAn effective incomplete model based on PF MG 3WD is designed in this paper. First, the form of PF MG incomplete information systems (IISs) is established to reasonably record the uncertain information. On this basis, the PF conditional probability is established by using PF similarity relations, and the concept of adjustable PF MG PRSs is proposed by using the PF conditional probability to fuse data. Then, a comprehensive PF multi-attribute group decision-making (MAGDM) scheme is formed by the adjustable PF MG PRSs and the VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method. Finally, an actual breast cancer data set is used to reveal the validity of the constructed method.FindingsThe experimental results confirm the effectiveness of PF MG 3WD in predicting breast cancer. Compared with existing models, PF MG 3WD has better robustness and generalization performance. This is mainly due to the incomplete PF MG 3WD proposed in this paper, which effectively reduces the influence of unreasonable outliers and threshold settings.Originality/valueThe model employs the VIKOR method for optimal granularity selections, which takes into account both group utility maximization and individual regret minimization, while incorporating decision-makers' subjective preferences as well. This ensures that the experiment maintains higher exclusion stability and reliability, enhancing the robustness of the decision results.

Uncovering the academic evolution of VIKOR method: a comprehensive main path analysis

The rapid advancement of the VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method has led to a substantial body of related literature. Reviewing and extracting the academic trajectory can be challenging, as conventional literature review studies and bibliometric approaches may prove ineffective. This paper proposes a comprehensive main path analysis (MPA) framework to unveil the knowledge structure within the field of VIKOR. By integrating global MPA, local MPA, and key-route MPA, this study reveals the significant developmental process and pivotal papers in the VIKOR domain. Employing multiple global main paths offers a more holistic understanding of the knowledge evolution network in VIKOR, enabling deeper exploration of research frontiers. To our knowledge, this is the first study to conduct an extensive MPA in the field of VIKOR, providing novel insights for scholars interested in comprehending VIKOR and inspiring future research.

Failure mode and effect analysis using VIKOR method based on interval-valued linguistic Z-numbers

Failure mode and effect analysis (FMEA) is an effective quality management tool used to improve product quality and reliability. However, with the application of FMEA, its shortcomings are exposed regarding risk assessment, weight determination, and failure mode risk prioritization. This paper proposes a new FMEA model using VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method based on the Interval-valued linguistic Z-numbers (IVLZNs). Specifically, IVLZNs and the Interval-valued linguistic Z-numbers weighted arithmetic averaging (IVLZNWAA) operator are used to evaluate and aggregate risk information of failure modes; the maximum deviation method is used to determine the weight of risk factors; the IVLZNs-VIKOR method is used to determine the risk priority of failure modes. Then, a numerical example is given to verify the effectiveness of the proposed model. Finally, a comparative analysis is made to demonstrate the feasibility and rationality of the proposed method.

TODIM-VIKOR method for quality evaluation of tourism rural landscape planning and design with 2-tuple linguistic neutrosophic numbers

With the continuous deepening of the construction of urban-rural economic integration in China, rural construction activities supported by rural revitalization strategies have changed the development thinking of rural economy. While implementing the goal of rural ecological economy, optimizing the rural living environment has become one of the important contents of rural revitalization, including the planning and design of rural landscapes. Rural landscape planning and design need to comprehensively consider the adaptability of landscape and rural ecological environment, emphasize the impact of rural spatial structure differences on landscape planning and design, and achieve scientific and humanized landscape planning and design, thereby creating a more warm, natural, and comfortable rural living space. The quality evaluation of tourism rural landscape planning and design is a multiple attribute group decision making (MAGDM) problems. Recently, the TODIM (an acronym in Portuguese of interactive and multicriteria decision making) and VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje) method has been inaugurated to cope with MAGDM issues. The 2-tuple linguistic neutrosophic sets (2TLNSs) are inaugurated as a effective tool for characterizing uncertain information during the quality evaluation of tourism rural landscape planning and design. In this paper, the 2-tuple linguistic neutrosophic TODIM-VIKOR (2TLN-TODIM-VIKOR) method is inaugurated to solve the MAGDM under 2TLNSs. In the end, a numerical case study for quality evaluation of tourism rural landscape planning and design is inaugurated to confirm the proposed method.

An improvement to the interval type-2 fuzzy VIKOR method

Vlsekriterijumska optimizacija i kompromisno resenje (VIKOR) method is one of the most popular multiple criteria decision making (MCDM) techniques in which, the optimal alternative is determined based on an agreement between maximum group utility and minimum individual regret. Despite VIKOR presents important advantages regarding other techniques for decision situations, it may result in a situation where an alternative with high measures for most criteria and low value for one criterion is not chosen as the optimal alternative. Thus, VIKOR may lead to unreasonable and inconsistent results and cannot present true situation of alternatives in indices’ list. The goal of this paper is to present an improved extended version of interval type-2 fuzzy VIKOR (IT2FVIKOR) method for relieving the drawbacks of usual IT2FVIKOR. The proposed indices present more continuous and logical values than prior one such that better ranking results obtain for the MCDM problems. In order to demonstrate effectuality of the suggested method, a case study and an illustrative example are performed. Eventually, the extracted ranking upshots are analyzed with the others.

An advanced approach to multiple criteria optimization and compromise solutions under circular intuitionistic fuzzy uncertainty

The intention of this work is to create an advanced VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) approach that deals with multiple criteria optimization and compromise solutions in the face of circular intuitionistic fuzzy (C-IF) uncertainty. There has been limited research on enhancing VIKOR techniques to manipulate multiple criteria decision analysis (MCDA) with sophisticated C-IF information. Specifically, the relative score function in current C-IF VIKOR methods loses its meaning when the radius of the C-IF number is zero, restricting its applicability to regular intuitionistic fuzzy contexts. Furthermore, converting C-IF information into intuitionistic fuzzy contents prematurely using existing C-IF VIKOR algorithms results in inadequate preservation of the C-IF connotation, hindering the primary objective of using C-IF theory to manage MCDA issues. This study addresses the limitations of the current relative score system in C-IF contexts and recommends a more legitimate and fair scoring function. The upgraded C-IF scoring function includes scaling and exponential parameters, making it more pragmatic and adaptable than the present relative scoring mechanism. By connecting the suggested C-IF scoring function with the recently published C-IF Minkowski distance measurements, the study establishes a parameterized C-IF VIKOR methodology to analyze MCDA issues arising from C-IF uncertainty. The suggested parameterized C-IF VIKOR model provides accessible assessments of individual regret, collective utility, and trade-off indices by utilizing three- and four-term C-IF metric ratios. The model constructs a synthesized mechanism to investigate the requirements for acceptable advantage and decision-making stability for locating agreeable compromise solutions. The viability and performance of the suggested technique are manifested through applications in waste disposal location selection, multi-expert supplier evaluation, and medical waste disposal techniques. Comparative analysis is executed to highlight implications for theory, practice, and future research. This study provides significant contributions, including (i) an innovative approach to the C-IF VIKOR methodology for broadening the coverage of higher-order fuzzy research models, (ii) a new C-IF scoring function for decision aiding to overcome the limitation of the current relative score function, and (iii) a novel conceptual framework of a parameterized VIKOR for empowering decision-makers with more leeway in adapting the VIKOR solution to intuitively judged outcomes.

An Effective Compromising Ranking Technique for Decision Making

The VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje) method, which is a multi-criteria decision-making method, is examined in this paper. The VIKOR method, like other MCDM techniques such as the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS), is widely used to solve complex decision-making problems in various fields such as engineering, management, and finance. This paper provides an overview of the VIKOR method, including its application areas, advantages, and disadvantages. Besides, in this survey paper, the process steps of the VIKOR method are described, including determining the decision matrix, normalizing the matrix, determining the weights of the criteria, calculating the utility and regret values, calculating the VIKOR index, and finally ranking the alternatives. By providing an overview of the VIKOR method and its process steps, this paper aims to provide a better understanding of the method and its potential application in different decision-making contexts.

Evaluation of Cooperative Intelligent Transportation System scenarios for resilience in transportation using type-2 neutrosophic fuzzy VIKOR

There is a critical need for research in proactive and predictive management of the resilience of transportation systems implementing new technologies. Cooperative Intelligent Transportation System (C-ITS) uses wireless technology to allow vehicles and infrastructure to talk to each other in real-time. This makes it easier for people to work together on the road and makes it possible to make safer and more efficient traffic flows. Significant progress may be made in the transportation industry as a result of the incorporation of self-powered sensors into C-ITS providing resilience in transportation operation. One advantageous feature is that these sensors, which generate their power, could be deployed in a variety of C-ITS implementation scenarios. To assist decision-makers in making the most informed choice possible concerning investments and implementations, a type-2 neutrosophic number (T2NN) based VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje) method is used to perform advantage prioritization. To accomplish this goal, a case study is carried out to determine which of the three alternatives is the most suitable based on a set of twelve criteria that is divided into four aspects. According to the findings, the applicability and short-term benefits are the most crucial factors in determining which option is the most advantageous for the use of self-powered sensors in C-ITS. This is because both of these factors have an immediate impact on the system.

Performance analysis and multi-objective optimization of bionic dendritic furcal energy-absorbing structures for trains

Rail vehicles offer the characteristics of large carrying capacity and high running speed. Train accidents usually result in substantial personal casualties and economic losses. Energy-absorbing structures can efficiently and quickly absorb and disperse the energy generated during collisions. In this paper, the performances with different cross-sections and partings of the bionic dendritic furcal structure (BDFS) inspired by the furcal branch and bifurcation structure of neurons are analyzed and compared by numerical simulation. The simplified super folding element theory and experiments verify that the finite element models are effective. A hybrid multi-stage optimization decision system, i.e., multi-criteria decision-making (MCDM)- multi-objective optimization (MOP)- MCDM, which integrates the VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method, the multiple objective particle swarm optimization-crowding distance (MOPSO-CD) evolutionary algorithm and repetitive VIKOR method, is proposed to find the optimal structure and obtain the optimal parameter alternative of the structure. Comparisons and analyses of experiments and simulations are carried out to verify the effectiveness of the proposed method. The results show that BDFS with six furcal ribs and 3rd-order parting display the best comprehensive crashworthiness under the working condition of 10 m/s specified in EN15227 standard. When the single target requirement is considered, specific energy absorption (SEA) can be increased by 16.18%, peak crushing force (PCF) can be decreased by 67.07%, and undulation of the load-carrying capacity (ULC) can be decreased by 14.02%. This study provides an effective tool for the analysis and optimization of energy-absorbing structures.

Multi-attribute group decision-making problem of medical consumption products based on extended TODIM-VIKOR approach with Fermatean fuzzy information measure

The fundamental goal of this research is to develop a MAGDM (Multi-Attribute Group Decision Making) problem of Medical Consumption Products. We propose TODIM–VIKOR approach in this paper, which combines the TODIM (an acronym in Portuguese for Interactive and Multi-criteria Decision-Making) and VIKOR (Vlsekriterijumska Optimizacija I Kompromisno Resenje) procedures under Fermatean fuzzy information. A new Fermatean fuzzy scoring function is presented for dealing with comparison problems. In addition, we introduce a novel entropy measure for assessing the degree of fuzziness associated with an FFS. We also offer a Jensen–Shannon divergence measure for the Fermatean Fuzzy set that can be used to compare the discrimination information of two FFSs. This suggested measure meets all mathematical standards for being considered a measure. We introduced entropy and divergence measures to determine the objective weight in the TODIM–VIKOR approach. Meanwhile, to deal with multiple attribute group decision-making, a new decision procedure based on the suggested Entropy and Jensen–Shannon divergence measure was proposed in a Fermatean Fuzzy environment. In this article, TODIM has in view to find out the overall dominance degree, and VIKOR is to determine the compromise solution. Finally, we manage a supplier selection problem to verify the performance of the suggested Fermatean fuzzy TODIM–VIKOR method by comparing the ranking solution to the rankings of existing methodologies. We investigate the reliability and effectiveness of our proposed methodology.

A Combined Fuzzy Optimization Model for the Location of an Intelligent Energy-Efficient Manufacturing Industrial Park

With the background of implementing carbon peaking and carbon neutralization, identifying methods to realize energy-saving and carbon reduction effectively has become an important issue in the intelligent energy-conservation manufacturing industry. During the process of achieving this goal, determining an optimal location for a low-carbon and intelligent manufacturing industrial park is a foremost decision-making problem for manufacturing corporations’ energy-efficient development. The article established a multi-criteria decision framework to assist manufacturing companies when selecting suitable industrial park sites. To begin with, an evaluation criteria framework is confirmed by literature search. Then, a fuzzy optimization model, which combines the fuzzy Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) and the fuzzy VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) is presented, where fuzzy TOPSIS is used to determine the decision-maker criteria weights. Then, criteria weights are calculated by the optimization model with construction of a Lagrange function. Moreover, the fuzzy VIKOR method is applied to sort alternatives and choose the best alternative location. In addition, five alternative sites for a manufacturing company are evaluated and ranked according to the values of the ranking index as a numerical case to demonstrate the proposed framework’s application. Finally, a comprehensive analysis of diverse methods and sensitivity analyses for the volatility in criteria weights and decision-maker weights is illustrated to confirm that the framework is practicable for the problem of intelligent and sustainable manufacturing industrial park-site selection.

Materials selection of 3D printed polyamide-based composites at different strain rates: A case study of automobile front bumpers

The selection of 3D printed composite materials considering multiple criteria has become a challenging issue for designers/engineers and can be regarded as a typical decision-making problem. Especially for diverse engineering applications, the different strain rates encountered need to be addressed in the decision-making process. In this study, a systematic hierarchical evaluation model of 3D printed polyamide-based composites with 27 indicators is established considering economic, environmental, social and mechanical aspects. The mechanical responses at four strain rates (8 × 10−4 s−1, 8 × 10−3 s−1, 1700 s−1 and 3510 s−1) are incorporated into the model. A hybrid decision-making approach combining the fuzzy DEMATEL (Decision Making Trial and Evaluation Laboratory)-Entropy and fuzzy TODIM (Tomada de Decisão Interativa Multicritério)-VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje) methods is proposed to solve the composite material selection problem. An automobile front bumper, as an empirical application, is investigated to demonstrate the proposed model and decision-making approach. The results show that PACF-C, that is the short carbon fibre reinforced polyamide printed with a concentric strategy, is the optimal alternative. This study provides an effective approach for solving the material selection problem of 3D printed composites.

A group consensus decision making based sustainable supplier selection method by combing DEMATEL and VIKOR

Sustainable supplier selection (SSS) plays an increasingly critical role in the stability and development of the organization with increasing environmental awareness. This article proposes a linguistic multiple attribute group decision-making method to select the appropriate sustainable supplier by combing Decision Making and Trial Evaluation Laboratory(DEMATEL) and VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR). To do that, a distribution linguistic based DEMATEL technique is developed to deal with the complexity in criteria of SSS. To eliminate the inconsistency among multiple decision-makers providing the preference information of evaluation criteria, a minimum adjusting cost feedback mechanism is utilized to reach group consensus. Therefore, the proposed weights obtaining method can not only deal with the subjectivity of evaluation criterion but also satisfy group decision-makers with different profits and backgrounds. Then, based on the evaluation matrices of supplier performance, it calculates the ranking of alternative suppliers by the VIKOR method. Hence, it can deal with the ambiguity of decision makers’ evaluation and provide the best solution for decision-makers, as a consequence, it makes the final evaluation result more feasible and operable. Finally, the effectiveness and efficiency of this method are verified based on the actual situation of ABC Company. This study proposed a linguistic multiple attribute group decision-making method to select the appropriate sustainable supplier by combing Decision Making and Trial Evaluation Laboratory(DEMATEL) and VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR). What’s more, the proposed method considered the group consensus reaching processes.

VIKOR - P-graph Method for Optimal Synthesis of Philippine Agricultural Waste-Based Sustainable Integrated Biorefinery

A sustainable integrated biorefinery (SIBR) is a biomass processing facility that converts agricultural wastes or residues into a wide range of valuable products where both economic sustainability and environmental sustainability are optimized. This work proposed a hybrid method that incorporates Vlsekriterijumska Optimizacija I Kompromisno Resenje (VIKOR), a widely used multi-criteria decision-making (MCDM) tool with the P-graph (process-graph) framework. The proposed VIKOR - P-graph model can (i) generate a set of combinatorically feasible solutions, and (ii) rank the solution sets using VIKOR method, simultaneously in the same P-graph model. In other words, all the drawbacks attributed to the sequential optimization methods can, therefore, be avoided. To demonstrate the effectiveness of the proposed hybrid methodology, a case study in the Philippines is presented in this paper. The hybrid P-graph model generated a total of 7 feasible solutions with different configuration for the SIBR based on the overall profit (i.e., economic goal) and carbon emissions (i.e., environmental goal). Results show that the best compromised solution can be obtained when majority (70 %) of the rice husk is used to produce bioethanol, where the required power is supplied by combusting the remaining rice husk and by importing external power. It offers an hourly profit of 161 $/h with a lower (~38.6 %) carbon emissions as compared to the most profitable option (3.504 tCO2-eq/h). This research is essentially a guide for policymakers to make informed decisions that can maximise the benefits of SIBR on a national scale.

Risk assessment of submarine pipelines using modified FMEA approach based on cloud model and extended VIKOR method

The development of offshore oil and gas resources is inevitable for a submarine pipe network. Submarine pipeline leakage can easily escalate into a catastrophic event, causing enormous loss of life and property and environmental pollution. Therefore, it is imperative to conduct risk assessments of submarine pipelines. A failure mode and effects analysis (FMEA) is a significant method in risk analysis. However, due to the uncertainty in the risk analysis process, the assessment results may not be sufficiently accurate. In this paper, to evaluate the risk of submarine pipeline with enhanced reliability, an improved FMEA method based on cloud model and extended vlsekriterijumska optimizacija i kompromisno resenje (VIKOR) is proposed. The main contributions of this method are as follows. First, to minimize the associated linguistic uncertainties during the evaluation process, the cloud model theory is used, enabling the fuzziness and randomness to be comprehensively considered. Second, an improved synthetic dynamic weight algorithm, considering the personal status of experts as well as the agreement degree and confidence level of expert comments is proposed to strengthen the knowledge of the experts to minimize incompleteness. Third, an extended two-level risk factor hierarchy of submarine pipeline failure is established to improve the comprehensiveness of risk assessment, meanwhile, an integrated weighting method considering both subjective and objective aspects is utilized to obtain the risk factor weights, which can comprehensively reveal the risk factors’ relative importance. Fourth, the VIKOR method is extended with the cloud model to determine the risk priority of failure modes, which can offer a compromise solution in the context of uncertainty. Furthermore, a case study on a submarine pipeline of the Chengbei oilfield in China is performed to illustrate the applicability of proposed approach. Sensitivity analysis are carried out to observe the robustness of the proposed method. Finally, the comparison between the obtained results and that from pre-existing methods shows that the proposed method is a more accurate and effective method for the risk assessment of a submarine pipeline.

A Hybrid Method for Multi-Criteria Group Decision Making under Pythagorean Fuzzy Environment

ABSTRACT Fuzzy set theory has an important role in the evolution of multicriteria decision-making methods. Different kinds of fuzzy sets are used to handle different kind of uncertain situations. In this work, we have proposed a hybrid method to overcome the shortcomings of ELimination Et Choice Translating Reality 1 (ELECTRE 1), decision-making method by incorporating steps borrowed from VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method in Pythagorean fuzzy environment. ELECTRE 1 is easy to use and simple in calculations, but it is an outranking method, thereby it is not capable to rank all the alternatives. This method only provides ranking of few alternatives while ignoring the ranking of rest of the considered alternatives. In real-life scenario, sometimes ranking of all the considered alternatives may be required to make appropriate decisions. Therefore, to serve this facility in ELECTRE 1, we have proposed a hybrid method that combines the steps from ELECTRE 1 and VIKOR methods in Pythagorean fuzzy environment. Additionally, the proposed method considers a group of decision makers while calculating weights of different criteria accordingly. The proposed method is also implemented on a real-world problem.

An Application of Fuzzy-VIKOR Method in Environmental Impact Assessment of the Boog Mine Southeast of Iran

Mining activities are one of the essential environmental challenges. Rating the environmental components (ECs) that affect by mining activities is a strategic guide for Environmental-Impact-Assessment (EIA). VlseKriterijumska- Optimizacija- I- Kompromisno- Resenje (VIKOR) method is developed as an efficient decision-making method to assess the impacts of the granite quarry Boog (in Southeast of Iran) on the environment. VIKOR method focuses on quantifying the effect of each impacting factor (IF) on each designed EC. This paper represents an evaluation method relying on fuzzy numbers in decision methods to carry out the lack of certainty and ambiguity from experts’ subjective knowledge and experience. Shannon entropy theory is used to adjust subjective weights defined by decision makers to objective weights. The results catched through ranking the R, S and Q indices. In this case, the Air quality (R= 0.05, S= 0.16, Q= -0.05) is available as the more important EC that affected by the mining activities contaminations. Compareing the results with standard matrix method confirm that the Air quality has been effected more than the other parameters with 33.63%. Fuzzy-VIKOR is a systematic approach, which can easily extend to deal with quantitative environmental analysis and other mining engineering selection problems.

A decision-making framework for evaluating appropriate business blockchain platforms using multiple preference formats and VIKOR

• Blockchain platform selection problem is evaluated with a hybrid approach. • Group decision making with multiple preference relations is used. • VIKOR method is combined in the evaluation process. • A business application is provided to validate the proposed approach. • It is novel in the blockchain research area with its criteria and method combination. The blockchain is a shared, reliable, public transaction ledger that can be programmed for virtually anything valuable. Blockchains in terms of permissions and transactions with private ledgers are relatively new. The goal of this study is to present a decision-making process to guide organizations in the evaluation of blockchains as an enterprise platform service. Enterprise platforms can be selected by decision makers who voice their opinions in diverse forms by considering a range of criteria. Multiple preference formats offer suitable methods for evaluating such criteria. In this study, the VIKOR (Vlsekriterijumska Optimizacija I Kompromisno Resenje) technique is employed for evaluating the alternatives and solving the selection problem. It contributes to the blockchain literature by combining multiple preference formats with VIKOR for the first time for the blockchain platform selection problem. The findings suggest that the proposed evaluation framework is powerful for selecting the most suitable enterprise blockchain platform among alternatives.