On some new fuzzy entropy measure of Pythagorean fuzzy sets for decision-making based on an extended TOPSIS approach

Fuzzy entropy measures are valuable tools in decision-making when dealing with uncertain or imprecise information.There exist many entropy measures for Pythagorean Fuzzy Sets(PFS)in the literature that fail to deal with the problem of providing reasonable or consistent results to the decision-makers.To deal with the shortcomings of the existing measures,this paper proposes a robust fuzzy entropy measure for PFS to facilitate decision-making under uncertainty.The usefulness of the measure is illustrated through an illustration of decision-making in a supplier selection problem and compared with existing fuzzy entropy measures.The Technique for Order Performance by Similarity to Ideal Solution(TOPSIS)approach is also explored to solve the decision-making problem.The results demonstrate that the proposed measure can effectively capture the degree of uncertainty in the decision-making process,leading to more accurate decision outcomes by providing a reliable and robust ranking of alternatives.

Strategic Renewable Energy Resource Selection Using a Fuzzy Decision-Making Method

Renewable energy is created by renewable natural resources such as geothermal heat,sunlight,tides,rain,and wind.Energy resources are vital for all countries in terms of their economies and politics.As a result,selecting the optimal option for any country is critical in terms of energy investments.Every country is nowadays planning to increase the share of renewable energy in their universal energy sources as a result of global warming.In the present work,the authors suggest fuzzy multi-characteristic decision-making approaches for renew-able energy source selection,and fuzzy set theory is a valuable methodology for dealing with uncertainty in the presence of incomplete or ambiguous data.This study employed a hybrid method for order of preference by resemblance to an ideal solution based on fuzzy analytical network process-technique,which agrees with professional assessment scores to be linguistic phrases,fuzzy numbers,or crisp numbers.The hybrid methodology is based on fuzzy set ideologies,which calculate alternatives in accordance with professional functional requirements using objective or subjective characteristics.The best-suited renewable energy alternative is discovered using the approach presented.

Hybrid q-Rung Orthopair Fuzzy Sets Based CoCoSo Model for Floating Offshore Wind Farm Site Selection in Norway

Unlocking offshore wind farms’high energy generation potential requires a comprehensive multi-disciplinary analysis that consists of intensive technical,economic,logistical,and environmental investigations.Offshore wind energy projects have high investment volumes that make it essential to conduct extensive site selection to ensure feasible investment decisions that reduce the potential financial risks.Depending on the scenario and circumstances,a ranking of alternative offshore wind energy projects helps to prioritise the investment decisions.Decisionmaking algorithms based on expert knowledge can support the prioritisation and thus alleviate the work load for investment decisions in the future.The case study considered here is to find the best site for a floating offshore wind farm in Norway from four pre-selected alternatives:Utsira Nord,Stadthavet,Froyabanken,and Trana Vest.We propose a hybrid decisionmaking model as a combined compromised solution(CoCoSo)based on the q-rung orthopair fuzzy sets(q-ROFSs)including the weighted q-rung orthopair fuzzy Hamacher average(Wq-ROFHA)and the weighted q-rung orthopair fuzzy Hamacher geometric mean(Wq-ROFHGM)operators.In this model,the q-ROFSs based full consistency method(FUCOM)is introduced as a new methodology to determine the weights of the decision criteria.The results of the proposed model show that the best site among the investigated four alternatives is A1:Utsira Nord.A sensitivity analysis has verified the stability of the proposed decision-making model.

An Integrated Bipolar Picture Fuzzy Decision Driven System to Scrutinize Food Waste Treatment Technology through Assorted Factor Analysis

Food Waste(FW)is a pressing environmental concern that affects every country globally.About one-third of the food that is produced ends up as waste,contributing to the carbon footprint.Hence,the FW must be properly treated to reduce environmental pollution.This study evaluates a few available Food Waste Treatment(FWT)technologies,such as anaerobic digestion,composting,landfill,and incineration,which are widely used.A Bipolar Picture Fuzzy Set(BPFS)is proposed to deal with the ambiguity and uncertainty that arise when converting a real-world problem to a mathematical model.A novel Criteria Importance Through Intercriteria Correlation-Stable Preference Ordering Towards Ideal Solution(CRITIC-SPOTIS)approach is developed to objectively analyze FWT selection based on thirteen criteria covering the industry’s technical,environmental,and entrepreneurial aspects.The CRITIC method is used for the objective analysis of the importance of each criterion in FWT selection.The SPOTIS method is adopted to rank the alternative hassle-free,following the criteria.The proposed model offers a rank reversal-free model,i.e.,the rank of the alternatives remains unaffected even after the addition or removal of an alternative.In addition,comparative and sensitivity analyses are performed to ensure the reliability and robustness of the proposed model and to validate the proposed result.

System portfolio selection based on GRA method under hesitant fuzzy environment

The hesitant fuzzy set(HFS) is an important tool to deal with uncertain and vague information.In equipment system portfolio selection, the index attribute of the equipment system may not be expressed by precise data;it is usually described by qualitative information and expressed as multiple possible values.We propose a method of equipment system portfolio selection under hesitant fuzzy environment.The hesitant fuzzy element(HFE) is used to describe the index and attribute values of the equipment system.The hesitation degree of HFEs measures the uncertainty of the criterion data of the equipment system.The hesitant fuzzy grey relational analysis(GRA) method is used to evaluate the score of the equipment system, and the improved HFE distance measure is used to fully consider the influence of hesitation degree on the grey correlation degree.Based on the score and hesitation degree of the equipment system,two portfolio selection models of the equipment system and an equipment system portfolio selection case is given to illustrate the application process and effectiveness of the method.

A Novel Green Supplier Selection Method Based on the Interval Type-2 Fuzzy Prioritized Choquet Bonferroni Means

In view of the environment competencies,selecting the optimal green supplier is one of the crucial issues for enterprises,and multi-criteria decision-making(MCDM)methodologies can more easily solve this green supplier selection(GSS)problem.In addition,prioritized aggregation(PA)operator can focus on the prioritization relationship over the criteria,Choquet integral(CI)operator can fully take account of the importance of criteria and the interactions among them,and Bonferroni mean(BM)operator can capture the interrelationships of criteria.However,most existing researches cannot simultaneously consider the interactions,interrelationships and prioritizations over the criteria,which are involved in the GSS process.Moreover,the interval type-2 fuzzy set(IT2FS)is a more effective tool to represent the fuzziness.Therefore,based on the advantages of PA,CI,BM and IT2FS,in this paper,the interval type-2 fuzzy prioritized Choquet normalized weighted BM operators with fuzzy measure and generalized prioritized measure are proposed,and some properties are discussed.Then,a novel MCDM approach for GSS based upon the presented operators is developed,and detailed decision steps are given.Finally,the applicability and practicability of the proposed methodology are demonstrated by its application in the shared-bike GSS and by comparisons with other methods.The advantages of the proposed method are that it can consider interactions,interrelationships and prioritizations over the criteria simultaneously.

Selection of Wind Turbine Systems for the Sultanate of Oman

The Sultanate of Oman has been dealing with a severe renewable energy issue for the past few decades,and the government has struggled to find a solution.In addition,Oman’s strategy for converting power generation to sources of renewable energy includes a goal of 60 percent of national energy demands being met by renewables by 2040,including solar and wind turbines.Furthermore,the use of small-scale energy from wind devices has been on the rise in recent years.This upward trend is attributed to advancements in wind turbine technology,which have lowered the cost of energy from wind.To calculate the internal and external factors that affect the small-scale energy of wind technologies,the study used a fuzzy analytical hierarchy process technique for order of preference by similarity to an ideal solution.As a result,in the decision model,four criteria,seventeen sub-criteria,and three resources of renewable energy were calculated as options from the viewpoint of the Sultanate of Oman.This research is based on an examination of statistics on energy produced by wind turbines at various locations in the Sultanate of Oman.Further,six distinct miniature wind turbines were investigated for four different locations.The outcomes of this study indicate that the tiny wind turbine has a lot of potential in the Sultanate of Oman for applications such as homes,schools,college campuses,irrigation,greenhouses,communities,and small businesses.The government should also use renewable energy resources to help with the renewable energy issue and make sure that the country has enough renewable energy for its long-term growth.

一种Fuzzy优化选材模型及其应用

针对研究生推荐工作实际，结合今后研究工作需要，建立了推荐函数及Ｆｕｚｙ推荐集并讨论了其性质，同时对于影响因素进行Ｆｕｚｚｙ化，建立了一类Ｆｕｚｚｙ优化选材模型。

Partition region-based suppressed fuzzy C-means algorithm

Aimed at the problem that the traditional suppressed fuzzy C-means clustering algorithms ignore the real needs of different objects, applying the same suppressed parameter for modifying membership degrees of all the objects, a novel partition region-based suppressed fuzzy C-means clustering algorithm with better capacity of adaptability and robustness is proposed in this paper. The model based on the real needs of different objects is built, making it clear to decide whether to proceed with further determination; in addition, the external user-defined suppressed parameter is automatically selected according to the intrinsic structural characteristic of each dataset, making the proposed method become robust to the fluctuations in the incoming dataset and initial conditions. Experimental results show that the proposed method is more robust than its counterparts and overcomes the weakness of the original suppressed clustering algorithm in most cases.

Optimal Route Selection Method Based on Vague Sets

Optimal route selection is an important function of vehicle trac flow guidance system. Its core is to determine the index weight for measuring the route merits and to determine the evaluation method for selecting route. In this paper, subjective weighting method which relies on driver preference is used to determine the weight and the paper proposes the multi-criteria weighted decision method based on vague sets for selecting the optimal route. Examples show that, the usage of vague sets to describe route index value can provide more decision-making information for route selection.

Improving Supply Chain Performance Through Supplier Selection and Order Allocation Problem

Suppliers play the vital role of ensuring the continuous supply of goods to themarket for businesses.If businesses do not maintain a strong bond with their suppliers,they may not be able to secure a steady supply of goods and products for their customers.As a result of failure to deliver products,the production and business activities of the business can be delayed which leads to the loss of customers.Normally,each trading enterprise will have a variety of commodity supply chains withmultiple suppliers.Suppliers play an important role and contribute to the value of the entire supply chain.Should any supplier encounters a problem,the whole supply chain of businesses will be affected and could lead to not guaranteeing the stable supply to the market.Thus,suppliers can be seen as a threat to businesses where they have the ability to increase input prices or decrease the quality of the required products and services they provide.The quantity of the business,and the supply lead time directly affect the operations and reduce the profitability of the business.The paper mainly focuses on the supplier selection problemunder a variety of price level and product families when using a two-phase fuzzy multi-objective linear programming.The objectives of the proposed model are to minimize the total purchasing and ordering cost in order to reduce the quantity of defective materials and the late-delivery components from suppliers.Moreover,the piecewise linear membership function is applied in themodel to determine an optimal solution which is based on the requirement of decision makers under their fuzzy environment.The results of this study can be applied in various business environment and provide a reliable decision tool for choosing potential suppliers relating to these objectives.Based on the results,the company canmake a good decision on supplier selection;therefore,the company can improve the quality and quantity of their final product.This is because,the best supplier can supply raw material using just-in-time application and reduce production risk on the manufacturing process.

Optimal site selection for a hospital using a fuzzy extended ELECTRE approach

About two thirds of the population in India lives in villages.There is an acute shortage of health centers in rural areas.Hospitals are not located uniformly across different regions of country.Rural areas are also not well connected with cities due to a lack of infrastructure.Therefore,the demand for super specialty hospitals is greater in rural areas.This paper has analyzed the health requirement in a prominent Indian state,Bihar,in terms of population density.The purpose of this study is to illustrate the hospital site-selection problem by using the fuzzy extended elimination and choice expressing reality(ELECTRE)approach.Different attributes considered for site selection in this paper are cost,proximity,population characteristics,availability of human resources,accessibility,environment,etc.The findings of the study will be of great value to the health ministry and policy makers in taking judicious decision s while selecting the site for a new hospital or health center.

基于不一致近邻的模糊粗糙集特征选择

模糊粗糙集可突破经典粗糙集仅能处理离散数据的局限,有效对连续型数值进行特征选择。然而,模糊粗糙集以对象为中心计算,时间复杂度高,难以处理高维和大规模数据。为此,基于水平截集提出一种不一致近邻加速策略。该策略跟踪论域中每个对象的模糊近邻集,持续删减其中不影响计算的近邻,若对象的不一致近邻删减至空,则删减该对象,从而提高算法效率。同时,设计一种基于不一致近邻递减的属性重要度,可有效抑制冗余特征入选,提升效率及分类精度。通过理论证明,所提的加速策略及属性重要度不影响属性入选的次序。在此基础上,提出新的模糊粗糙集特征选择算法。在9个UCI和scikit数据集上进行验证,实验结果表明,该算法不仅有效缩短运行时间,并可取得较高的分类精度,相比FA-FSCE、AVDP和IV-FS-FRS-2算法,运行时间至少可缩短9.44%,尤其在高维和大规模数据上可缩短61.01%~99.54%,在支持向量机和K-近邻算法的分类精度上最高可分别提高11.20%和19.95%。

基于新型粗糙模糊集混合算法的装配式建筑构件供应商选择

装配式建筑构件的供应商选择是实现装配式建筑快速发展的关键。基于在专家权重未知的情况下,构建专家信誉-技术权重模型;基于装配式建筑的特点,构建指标评价体系;对专家评价值采用新型粗糙模糊集系统的方法进行处理,将[0,1]矩阵转化成区间模糊数矩阵,降低决策者的主观性和模糊性。在进行供应商选择排序中,提出一种TOPSIS-GRA-MARCOS的混合算法,计算各备选供应商的效用函数并对供应商进行择优。最后结合实例分析,证明了该方法的有效性和可行性。

基于多粒度犹豫模糊语言术语集的TOPSIS决策方法研究

为了解决在实际决策时,由于知识背景不同决策者采用不同粒度语言术语集来表达而导致决策结果不准确的问题,本文提出了一种基于多粒度犹豫模糊语言术语集的逼近理想解排序(technique for order preference by similarity to ideal solution,TOPSIS)决策方法。首先选用各术语集中的最大粒度作为标准粒度,通过转换算法将每个决策者的语言术语集转换到同一标准粒度下进行集结,得出相应的隶属度语言术语集;然后结合TOPSIS方法,计算每个备选方案与正、负理想点距离,以相对贴近度的大小排序实现最优方案的选择;最后,通过一个实例,验证该方法的可行性和优越性。本文所提方法可应用于最优方案的选择问题中,提升决策结果准确度。

基于中心偏移的Fisher score与直觉邻域模糊熵的多标记特征选择

现有多标记Fisher score模型中边缘样本会影响算法分类效果。鉴于邻域直觉模糊熵处理不确定信息时具有更强的表达能力与分辨能力的优势,文中提出了一种基于中心偏移的Fisher score与邻域直觉模糊熵的多标记特征选择方法。首先,根据标记将多标记论域划分为多个样本集,计算样本集的特征均值作为标记下样本的原始中心点,以最远样本的距离乘以距离系数,去除边缘样本集,定义了新的有效样本集,计算中心偏移处理后的标记下每个特征的得分以及标记集的特征得分,进而建立了基于中心偏移的多标记Fisher score模型,预处理多标记数据。然后,引入多标记分类间隔作为自适应模糊邻域半径参数,定义了模糊邻域相似关系和模糊邻域粒,由此构造了多标记模糊邻域粗糙集的上、下近似集;在此基础上提出了多标记邻域粗糙直觉隶属度函数和非隶属度函数,定义了多标记邻域直觉模糊熵。最后,给出了特征的外部和内部重要度的计算公式,设计了基于邻域直觉模糊熵的多标记特征选择算法,筛选出最优特征子集。在多标记K近邻分类器下、9个多标记数据集上的实验结果表明,所提算法选择的最优子集具有良好的分类性能。

基于模糊粗糙集的层次分类增量特征选择

随着大数据时代的到来,数据的类标签数量急剧增加,对现有的分类任务带来了严峻的挑战。为了解决这个问题,人们通常将标签组织成层次结构,使用结构中所包含的信息来对任务进行学习。考虑样本的不断增加,使用模糊粗糙集信息熵设计了一种面向层次分类的增量特征选择算法。考虑兄弟策略,将现有的λ条件熵推广到了层次分类的情形,设计了一种非增量的层次分类特征选择算法,设计了λ增量条件熵,基于此设计了增量版本的特征选择算法。在实验中,采用了包括非增量版本在内的7种不同的特征选择算法在5个层次数据集上与增量算法进行比较,实验结果验证了2种算法的有效性,并且所设计的增量算法能在不影响性能的情况下加快特征选择的进程。

基于模糊粒度条件熵与改进萤火虫算法的特征选择方法

提出了一种基于模糊粒度条件熵与改进萤火虫算法(firefly algorithm,FA)的特征选择方法FS_FGCEIFA。将模糊粗糙集中的知识粒度与λ-条件熵结合,提出模糊粒度条件熵这一新的信息熵模型;将模糊粒度条件熵应用于FA中,提出一种基于模糊粒度条件熵的适应度函数;采用引力搜索算法中粒子惯性质量和万有引力的计算策略来调整FA中萤火虫的亮度和吸引力,并且将基于引力搜索的自适应步长因子融入FA的位置更新中。在多个UCI数据集以及软件缺陷预测数据集上的实验表明,FS_FGCEIFA能够获得更好的分类性能。

基于(I,O_(s))-模糊粗糙集的图像边缘提取和特征选择应用

首先,利用半重叠函数和模糊粗糙集,构造了(I,O_(s))-模糊粗糙集模型,提高了模型的灵活性和适应性;其次,将该模型与模糊C-均值算法相结合,提出了一种新的图像边缘提取算法,该算法在较低引入率的情况下,能够提取到完整的图像边缘;最后,基于(I,O_(s))-模糊粗糙集模型,提出了一种新的特征选择算法,相较于传统的特征选择算法,该算法在保持高分类精度的情况下,可以选择更少的属性条件.实验证明,基于(I,O_(s))-模糊粗糙集模型的算法具有可行性和有效性,可以为相关研究和领域提供支持.

基于模糊邻域判别指数的在线流组特征选择

在线流组特征选择可以充分利用特征流中原始的组结构信息,以在线的方式处理特征选择问题。然而,现有方法大多无法处理具有模糊性和不确定性的数据。为此,提出一种基于模糊邻域判别指数的在线流组特征选择算法。设计一种模糊邻域判别指数,用于描述模糊邻域粒的判别信息,扩展相关的不确定性度量方法。在此基础上,用组内特征选择和组间特征选择两种策略选择具有强近似能力且非冗余的特征。在8个公共数据集上进行对比实验,验证了该算法具有更优且稳定的分类性能。