An evolved VIKOR method for multiple-criteria compromise ranking modeling under T-spherical fuzzy uncertainty

The development of T-spherical fuzzy (T-SF) sets in qualitative multiple-criteria choice analysis has been well investigated, but little is explored about how the VIKOR (i.e., VIšekriterijumsko KOmpromisno Rangiranje in Serbian) mechanism is generalized into intricate T-SF environments. This paper has the objective of propounding a creative T-SF VIKOR methodology for compromise ranking modeling in multiple criteria analysis. The exploitation of the T-SF configuration brings about superior information space representation in response to intricate realistic environments. However, because of the increased complexity of decision situations involving T-spherical fuzziness, treatment with the T-SF information arises a pragmatic difficulty in developing methodological approaches to T-SF VIKOR. In light of this concern, this paper unfolds an analytical framework for the T-SF VIKOR method predicated on new notions of an evolved T-SF score function and the Minkowski-type T-SF distance measure along with its special cases of the Manhattan-, Euclidean-, and Chebyshev-type distances. The aspired and despised T-SF characteristics can be identified supported by the evolved T-SF score function of T-SF performance ratings. This paper gives a new delineation of the group utility, individual regret, and joint generalized measures with the aid of the Minkowski-type T-SF distance measure relative to the aspired/despised T-SF characteristics. A synthetic mechanism is built to validate the standards of acceptable advantage and stability and yield the ultimate compromise choices for multiple criteria decision aiding. The practicality of the T-SF VIKOR methodology in down-to-earth decision situations has been well demonstrated through the selection issues of warehouse locations and advertisement strategies. Moreover, the developed approach has shown better application outcomes than the past methods did. The comparative study with parametric analysis has revealed the steadiness and effectiveness of the compromise choice results in T-SF circumstances.     

Prioritizing the alternatives of the natural gas grid conversion to hydrogen using a hybrid interval rough based Dombi MARCOS model

The aim of this study is to disclose an integrated multi-criteria decision making model as an instrument able to be used for hydrogen gas grid development via natural gas network conversion by considering four main criteria and sixteen sub-criteria. The proposed model consists of two stages using interval rough based Dombi MARCOS (Measurement Alternatives and Ranking according to the COmpromise Solution) method. In the first stage, the interval rough Bonferroni logarithmic methodology of additive weights is applied for determining the weight coefficients. In the second stage, the improved interval rough MARCOS method is used to rank the alternatives. A case study for hydrogen gas grid development in Romania set out the applicability and effectiveness of the proposed model. The proposed model is analysed from various points of view so that it can be used effectively in reality not only theoretically. This study analyzes four technical alternatives for hydrogen gas grid development. The results show that the conversion for mixtures natural gas with hydrogen a transporting a mix of gases is the best alternative among the four alternatives, for the next period and in the specific context described by this study. The current technical-economic criteria are rather a constraint when discussing gas infrastructures. For choosing a sustainable solution, a major role comes for decision makers, along with the desire to pay fairly from the consumer.     

区间集上的一元格蕴涵代数方程

把格蕴涵代数中滤子、素滤子、LI-理想、对偶原子和凸子格等概念拓展到区间集进行了重新定义,研究了三种基本的区间集上的一元格蕴涵代数方程,并给出了方程的可解性判断条件以及方程解集的若干性质.     

Soft discernibility matrix and its applications in decision making

In this paper, we aim to solve the problems of decision making by introducing soft discernibility matrix in soft sets. Firstly, the notion of soft discernibility matrix is introduced in soft sets, and some properties associated with the soft discernibility matrix are researched. Secondly, an novel algorithm based on soft discernibility matrix is proposed to solve the problems of decision making. It can find not only the optimal choice object, but also an order relation of all the objects easily by scanning the soft discernibility matrix at most one time, rather than calculating the choice value. Finally, the weighted soft discernibility matrix is introduced in soft sets and its application to decision making is also investigated.     

Deriving the priority weights from hesitant multiplicative preference relations in group decision making

In this paper, we investigate the deviation of the priority weights from hesitant multiplicative preference relations (HMPRs) in group decision-making environments. As basic elements of HMPRs, hesitant multiplicative elements (HMEs) usually have different numbers of possible values. To correctly compute or compare HMEs, there are two principles to normalize them, i.e., the α-normalization and the β-normalization. Based on the α-normalization, we develop a new goal programming model to derive the priority weights from HMPRs in group decision-making environments. Based on the β-normalization, a consistent HMPR and an acceptably consistent HMPR are defined, and their desired properties are studied. A convex combination method is then developed to obtain interval weights from an acceptably consistent HMPR. This approach is further extended to group decision-making situations in which the experts evaluate their preferences as several HMPRs. Finally, some numerical examples are provided to illustrate the validity and applicability of the proposed models.     

宋式带“昂”斗栱节点力学性能试验研究

古建筑中宋式斗栱节点最为显著的特征之一就是带有“下昂”。为研究具有这种特征的斗栱节点的受力性能,制作 1∶3.52的缩尺模型试件进行竖向荷载试验和水平低周反复荷载试验,依据宋《营造法式》和实际建筑的 “有昂无梁栿”和“有昂有梁栿”两种类型的宋式斗栱节点模型,设计并制作了以柱头斗栱节点为对象的试验模型。研究结果表明：在竖向荷载作用下,栌斗始终作为薄弱构件首先破坏;下昂与梁栿虽打断了斗栱节点分层叠加,但其依旧能保持良好的整体性;水平荷载作用下单个斗栱节点的倒三角形构造易发生转动,但加入梁栿后,节点的转动受到约束而发生滑移,此时斗栱表现良好的耗能效果,由此说明斗栱节点良好的抗震性能并非来自单个斗栱节点,而是由其通过相互约束协同工作而产生;底部暗销有较强的锚固作用,斗栱节点水平承载力主要由底部暗销的锚固力和柱与斗栱节点接触面的摩擦力组成。     

大数据监测平台下的长江流域典型城市房间空调器温度设置分析

房间空调器是中国长江流域地区改善室内热环境的重要措施,然而,在以往的房间空调器的行为研究中,只能通过现场实测、问卷调查等方式获取其使用行为,由于数据获取方式本身所存在的局限性,无法对空调的使用行为进行可靠且深入的挖掘,尤其是对于空调的设置温度。为了研究长江流域地区房间空调器的设置温度行为,包括设置温度的分布、设置温度调节习惯、设置温度与一天中不同时间段的关系、设置温度与室外温度的关系,依托于大数据平台下的房间空调器监测数据,针对长江流域地区的3个典型城市（重庆、武汉、上海）的房间空调器的设置温度习惯,对重庆地区575台房间空调器、武汉地区430台房间空调器、上海地区540台空调器的夏季上万次运行数据、冬季上千次运行数据进行了基本的统计与相关分析,结果表明：空调器的设置温度及其调节习惯在不同城市之间存在一定差异性,夏季用户在一次空调使用过程中存在对较低设置温度（低于26℃）的短时需求情景,同时,设置温度与1 d中的不同时刻以及室外温度也有明显关联。