泛逻辑学中UB代数系统的(∈,∈∨q)-fuzzy滤子

何华灿教授给出了理想状态下的泛逻辑学的形式演绎系统β,并证明了该系统的可靠性。并且提出了理想状态下的泛逻辑学对应的代数系统-UB代数,并讨论了它们的性质。在以上这些结果的基础上,引入UB代数的(∈,∈∨q)-fuzzy滤子和(∈,∈∨q)-fuzzy关联滤子的概念,获得了它们的若干等价刻画,证明了(∈,∈∨q)-fuzzy关联滤子的扩张定理。     

关于Ⅳ-(∈,∈∨q)模糊格蕴涵子代数

运用区间值模糊集的思想对Ⅳ-(∈,∈∨q) -模糊格蕴涵子代数概念作进一步研究.给出了Ⅳ-(∈,∈∨q)-模糊格蕴涵子代数的若干新的性质与刻画;获得了Ⅳ-(∈,∈∨q) -模糊格蕴涵子代数的象与原象成为Ⅳ-(∈,∈∨q) -模糊格蕴涵子代数的条件;讨论了Ⅳ-(∈,∈∨q) -模糊格蕴涵子代数的直积特征.     

剩余格上的(∈,∈∨q)-模糊滤子

在剩余格上引入了(∈,∈∨q)-模糊滤子的概念,初步讨论了它的一些性质和等价条件,与之对应地讨论了(∈,∈∨q)-模糊滤子的性质,最后得到模糊滤子、(∈,∈∨q)-模糊滤子和(∈,∈∨q)-模糊滤子之间的关系。     

BCK-代数的广义(∈,∈∨q)-模糊蕴涵理想

为推广BCK-代数的(∈,∈∨q)-模糊蕴涵理想,引入了(∈,∈∨q_k)-模糊蕴涵理想的概念,研究了相关性质;指出了模糊蕴涵理想和(∈,∈∨q)-模糊蕴涵理想都是(∈,∈∨q_k)-模糊蕴涵理想,反之不然;给出了BCK-代数的模糊子集成为(∈,∈∨q_k)-模糊蕴涵理想的条件;证明了(∈,∈∨q_k)-模糊蕴涵理想都是(∈,∈∨q_k)-模糊理想,用实例说明其逆命题不真;给出了(∈,∈∨q_k)-模糊蕴涵理想的若干等价刻画,讨论了BCK-代数的基于蕴涵的模糊蕴涵理想。     

Characterizations of ordered semigroups in terms of (∈, ∈ ∨ q)-fuzzy interior ideals

In this paper, we give characterizations of ordered semigroups in terms of (∈, ∈ ∨q)-fuzzy interior ideals. We characterize different classes regular (resp. intra-regular, simple and semisimple) ordered semigroups in terms of (∈, ∈ ∨q)-fuzzy interior ideals (resp. (∈, ∈ ∨q)-fuzzy ideals). In this regard, we prove that in regular (resp. intra-regular and semisimple) ordered semigroups the concept of (∈, ∈ ∨q)-fuzzy ideals and (∈, ∈ ∨q)-fuzzy interior ideals coincide. We prove that an ordered semigroup S is simple if and only if it is (∈, ∈ ∨q)-fuzzy simple. We characterize intra-regular (resp. semisimple) ordered semigroups in terms of (∈, ∈ ∨q)-fuzzy ideals (resp. (∈, ∈ ∨q)-fuzzy interior ideals). Finally, we consider the concept of implication-based fuzzy interior ideals in an ordered semigroup, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed.     

Parallel Fuzzy P＋Fuzzy I＋Fuzzy D Controller： Design and Performance Evaluation

In this paper, a parallel fuzzy proportional plus fuzzy integral plus fuzzy derivative (FP+FI+FD) controller is proposed. It is derived from the conventional parallel proportional-integral-derivative (PID) controller. It preserves the linear structure of a conventional parallel PID controller, with analytical formulas. The final shape of the controller is a discrete-time fuzzy version of a conventional parallel PID controller. Computer simulations are performed to evaluate the performance of the FP+FI+FD controller for setpoint tracking and load-disturbance rejection for some complex processes, such as first- and second-order processes with delay, inverse response process with and without delay and higher order processes. Also, the performance of the proposed fuzzy controller is evaluated experimentally on highly nonlinear liquid-flow process with a hysteresis characteristic due to a pneumatic control valve. The simulation and real time control is done using National Instrument hardware and software (LabVIEW). The response of the FP+FI+FD controller is compared with the conventional parallel PID controller, tuned with the Ziegler-Nichols (Z-H) and Astrom-Hagglund (A-H) tuning technique. It is observed that the FP+FI+FD controller performed much better than the conventional PI/PID controller. Simulation and experimental results demonstrate the effectiveness of the proposed parallel FP+FI+FD controller.     

Rough Sets Model Based on Random Fuzzy Sets and Fuzzy Logic Operators

As knowledge block in knowledge base is fuzzy and obtained randomly, we propose a random fuzzy rough set model based on random fuzzy sets and fuzzy logic operators. We give some properties of the random fuzzy rough set. We investigate the relationship between fuzzy measures defined by lower approximation and upper approximation of fuzzy set and fuzzy probability measures.     

Fuzzy supervision and application to lean production†

A novel philosophy of process supervision based on functional redundancy, i.e., analytical or knowledge based redundancy which may specifically be used for lean production, is suggested. The key idea is to replace the conventional residual evaluator of the fault diagnosis system based on crisp logic, by both a decision maker with fuzzy logic for residual pre-evaluation and the human operator to make the final decisions using his natural intelligence, experience and common sense. The purpose of the employment of fuzzy logic for residual pre-evaluation is to release only weighted alarms instead of yes-no decisions, so that (by definition) no false alarms can be produced; besides this, the man-machine interaction becomes much easier. In contrast to the conventional expert system approach, the proposed concept leaves the final yes-no decisions to the natural intelligence, capability and responsibility of the human operator which are still superior to the artificial intelligence and decision making capabilities of an expert system.     

Fuzzy measures and generalized Möbius transform

Generalized Möbius transform is recalled and applied in some special cases. The relationship with the standard Möbius transform is shown. By means of the generalized Möbius transform, a general concept of k -order additivity independent of the cardinality of the underlying space is introduced. The relationship of the Choquet integral and the Lebesgue integral by means of the generalized Möbius transform is clarified. Also possibilistic Möbius transform and k -order possibility measures are introduced. Finally, some examples are given, including the characterization of de Finetti's discrete lower probabilities.     

BCK代数的区间值(∈,∈∨q)-模糊子代数

将Zadeh提出的区间值模糊集的概念应用于BCK代数,提出BCK代数的区间值(∈,∈∨q)模糊子代数的概念并研究其性质。给出了区间值模糊集成为区间值(∈,∈∨q)模糊子代数的充要条件;讨论了区间值(∈,∈∨q)模糊子代数与子代数以及(∈,∈∨q)模糊子代数间的关系;定义了区间值模糊集的象与原象,获得了区间值(∈,∈∨q)模糊子代数的象与原象成为区间值(∈,∈∨q)模糊子代数的条件。     

Takagi–Sugeno Fuzzy System and MTF-based Panchromatic Sharpening

The panchromatic sharpening or pansharpening refers to the fusion process of high-resolution panchromatic image and low- resolution multi-spectral images. Modulation Transfer Function (MTF) of satellite sensors has also been used for pansharpening. We investigate the use of Takagi–Sugeno fuzzy systems in MTF-based pansharpening algorithms. Traditional pansharpening schemes can result in spatial and/or spectral distortion during the fusion process. A fuzzy integrated fusion scheme is proposed to overcome this limitation. Spectral dissimilarities between panchromatic and multi-spectral bands are also taken into account. While preserving low-resolution multi-spectral information, Takagi–Sugeno fuzzy is introduced to inject appropriate spatial details in the pansharpened image. The local features of panchromatic image are also exploited to preserve the spatial and spectral content. Experiments conducted on Pl\(\acute{e}\)iades, Spot-5 and WorldView-2 data set demonstrate the superior fusion quality of the proposed scheme.     

Commentary on ‘Construction projects selection and risk assessment by Fuzzy AHP and Fuzzy TOPSIS methodologies’ [Applied Soft Computing 17 (2014): 105–116]

Taylan et al. [2014]. Construction projects selection and risk assessment by Fuzzy AHP and Fuzzy TOPSIS methodologies’ [Applied Soft Computing 17, 105–116] aimed at using novel analytic tools to assess the construction projects and their total risks under inexact and imprecise situations. They applied Fuzzy Analytic Hierarchy Process (Fuzzy AHP) to create appropriate weights for five main criteria i.e. time, cost, quality, safety, and environmental sustainability and then Fuzzy Technique for Order of Preference by Similarity to Ideal Solution (Fuzzy TOPSIS) to rank the 30 construction projects on the basis of the opinions of seven decision makers in various sectors in Saudi Arabia. In this work, some inaccuracies of this recently published article are shown and corrected.     

基于q→ti和q→(┑)tj挖掘的查询扩展算法

为了区分与原查询正负相关的扩展词,提高查询扩展性能,将正负关联规则挖掘技术应用于查询扩展,提出一种基于关联规则q→ti和q→-(┐)tj挖掘的局部反馈查询扩展算法.该算法从初检的前列文档中挖掘只含查询词项的词间正负关联规则q→ti和q→ (┐)tj,构造正负规则库;从规则库中提取扩展词,分别构建正负扩展词库,从正扩展词库中删除与负扩展词相同的词后得到所需的扩展词,与原查询组合实现查询扩展.算法还给出一种新的查询扩展模型和扩展词权重计算方法,使扩展词权值更合理.实验结果表明算法不仅能发现虚假扩展词,而且还能改善和提高信息检索性能.