Technical importance ratings in fuzzy QFD by integrating fuzzy normalization and fuzzy weighted average

Fuzzy quality function deployment (QFD) has been extensively used for translating customer requirements (CRs) into product design requirements (DRs) in fuzzy environments. Existing approaches, however, for rating technical importance of DRs in fuzzy environments are found problematic, either incorrect or inappropriate. This paper investigates how the technical importance of DRs can be correctly rated in fuzzy environments. A pair of nonlinear programming models and two equivalent pairs of linear programming models are developed, respectively, to rate the technical importance of DRs. The developed models are examined and illustrated with two numerical examples.     

Soft polygroups

Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties. In this paper, we initiate the study of algebraic hyperstructures of soft sets. The concepts of soft polygroups, normal soft polygroups, soft subpolygroups and normal soft subpolygroups are introduced, and some related properties are investigated. Furthermore, we propose the homomorphism and isomorphism of soft polygroups, and establish three isomorphism theorems for soft polygroups.     

Existence and uniqueness of strictly nondecreasing and positive solution for a fractional three-point boundary value problem

In this paper, we consider the following nonlinear fractional three-point boundary value problem

     

基于区间直觉模糊集的C均值聚类算法

针对区间直觉模糊集(IVIFS)的聚类问题,提出了基于IVIFS的C均值聚类算法.算法首先应用IVIFS的欧氏距离,构造了聚类的目标函数;然后根据拉格朗日乘数法推导出聚类的迭代公式,得到IVIFS聚类算法;此外,还提出一种IVIFS聚类的有效性函数,并将此函数和聚类结合,给出可以确定最佳聚类类别数的聚类流程;最后通过实...     

Computing Only Minimal Answers in Disjunctive Deductive Databases

A method is presented for computing minimal answers of the form in disjunctive deductive databases under the disjunctive stable model semantics. Such answers are constructed by repeatedly extending partial answers. Our method is complete (in that every minimal answer can be computed) and does not admit redundancy (in the sense that every partial answer generated can be extended to a minimal answer), thus no non-minimal answer is generated. The method does not (necessarily) require the computation of models of the database in their entirety. A partitioning of the database into extensional and intensional components is employed in order to overcome the problems caused by the possible non-existence of disjunctive stable models, and a form of compilation is presented as a means of simplifying and improving the efficiency of the run-time computation, which then reduces to relatively trivial processing within the extensional database. In addition, the output from this compilation process has the significant advantage of being immune to updates to the extensional database. Other forms of database pre-processing are also considered, and three transformations are presented mapping a database onto an equivalent positive database, non-disjunctive database, and set of conditional facts.     

基于指针映射集的动态内存故障测试方法研究

动态内存故障在使用指针的程序中是普遍存在的,采用动态测试方法进行测试难以准确定位故障源.而现有的静态分析方法主要存在漏报和误报过多的情况.针对这些问题,提出了指针映射代数系统的概念,全面地反映了指针与内存之间的映射关系,并给出了面向不同故障的指针映射集的构造规则,以此为基础建立了动态内存故障模型.通过指针映射集和故障模型,可以自动检测内存释放异常、内存泄露和空指针引用等动态内存故障,提高了测试效率.在分析过程中,还综合应用了控制流图和路径条件,提高了测试结果的精度.实验结果表明,该方法能够有效检测动态内存故障,而且出于规则定义较为全面,漏报和误报率也较低.     

On a reflexivity-preserving family of cardinality-based fuzzy comparison measures

In this paper, we generalize and extend previous work on a triparametric family of cardinality-based fuzzy similarity measures. More specifically, we (i) generalize this family to a broader family of fuzzy comparison measures, (ii) summarize previously obtained results regarding this family and fill up a few gaps by adding some novel results, (iii) compare our parametric family with an already existing one, and (iv) elaborate on the ranking invariance between certain members of the presented triparametric family of cardinality-based fuzzy comparison measures.     

On the dispersion measure of OWA operators

We describe some basic features of the OWA operator. We turn to the problem of determining the weights associated with this operator and particularly the maximal dispersion (entropy) approach. We consider the possibility of using minimization of dispersion. After discussing concerns with both maximization and minimization of dispersion we investigate the possibility of finding an optimal solution intermediate to these extremes. We next consider alternative measures of dispersion. We introduce a fundamental requirement for a measure of dispersion called the Preference for Equal Division. A number of general classes of dispersion measures are provided notable among these are those based on t-norm and t-conorm operators.     

On the analysis of nonlinear nilpotent switched systems using the Hall–Sussmann system

We consider an open problem on the stability of nonlinear nilpotent switched systems posed by Daniel Liberzon. Partial solutions to this problem were obtained as corollaries of global nice reachability results for nilpotent control systems. The global structure is crucial in establishing stability. We show that a nice reachability analysis may be reduced to the reachability analysis of a specific canonical system, the nilpotent Hall–Sussmann system. Furthermore, local nice reachability properties for this specific system imply global nice reachability for general nilpotent systems. We derive several new results revealing the elegant Lie-algebraic structure of the nilpotent Hall–Sussmann system.     

Fault-tree analysis for liquefied natural gas terminal emergency shutdown system

Natural gas, one of the cleanest, most efficient and useful of all energy sources, is a vital component of the world’s supply of energy. To make natural gas more convenient for storage and transportation, it is refined and condensed into a liquid called liquefied natural gas (LNG). In a LNG site, safety is a long-team and critical issue. The emergency shutdown (ESD) system in the LNG receiving terminal is used to automatically stop the pumps and isolate the leakage section. Fault-tree analysis (FTA) has been widely used for providing logical functional relationships among subsystems and components of a system and identifying the root causes of the undesired failures in a system. In the conventional FTA for the ESD system, we usually assume that exact failure probabilities of events are collected. However, in most real applications, first, the FTA for the ESD system needs to be made at a early design or manufacturing stage, certain new components normally used without failure data; secondly, sometimes the environmental change in the system during the operation periods. This makes more difficult to gather past exact failures data for the FTA. To complete the FTA of the ESD system under these uncertain situations, we apply the intuitionistic fuzzy sets (IFS) theory to the FTA. We generate the intuitionistic fuzzy fault-tree interval, and the intuitionistic fuzzy reliability interval for the ESD system. We also present an algorithm to find the critical components in the system based on IFS–FTA and determine weak paths in the ESD system, where the key improvement must be made.