EQ-代数的直觉模糊前滤子

在EQ-代数和直觉模糊集理论的基础上,引入了EQ-代数上直觉模糊前滤子和直觉模糊前素滤子的定义,讨论了它们的有关性质;研究了EQ-代数上直觉模糊前滤子的生成;得到了直觉模糊前滤子的全体构成的集合所具有的代数结构。     

伪MTL代数的性质及其滤子

介绍了伪MTL代数的一些重要性质,引入了伪MTL代数的滤子、素滤子以及极大滤子的概念,研究了它们的性质以及它们之间的关系。     

乘积格蕴涵代数的子代数的MATLAB实现

借助于MATLAB,得到了两个有限链型的乘积格蕴涵代数子代数的具体形式,更直观地反映了格蕴涵子代数的结构特征,并且通过一个例子展示了程序的运行结果。研究了格蕴涵代数中各种滤子之间的关系,讨论了两个链型格蕴涵子代数乘积的滤子,得到了其只存在平凡滤子和素滤子的结论。     

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.     

Intuitionistic Fuzzy Filters of the BL-Algebras

结合直觉模糊集和滤子理论,对BL-代数上的直觉模糊滤子进行了研究.首先回顾了BL-代数和直觉模糊集的有关基础知识.然后引入BL-代数上的直觉模糊滤子、直觉模糊格滤子、直觉模糊布尔滤子和直觉模糊蕴涵滤子的概念,讨论了它们的一系列重要性质,证明了直觉模糊滤子与直觉模糊格滤子、直觉模糊布尔滤子和直觉模糊蕴涵滤子是等价的,并用实例进行了验证.最后探讨了直觉模糊滤子和模糊滤子的关系.     

BL-代数上的几种直觉模糊滤子

结合直觉模糊集和滤子理论,对BL-代数上的直觉模糊滤子进行了研究。首先回顾了BL-代数和直觉模糊集的有关基础知识。然后引入BL-代数上的直觉模糊滤子、直觉模糊格滤子、直觉模糊布尔滤子和直觉模糊蕴涵滤子的概念,讨论了它们的一系列重要性质,证明了直觉模糊滤子与直觉模糊格滤子、直觉模糊布尔滤子和直觉模糊蕴涵滤子是等价的,并用实例进行了验证。最后探讨了直觉模糊滤子和模糊滤子的关系。     

剩余格上的几类n-重滤子及其特征

在剩余格上引入了n-重蕴含滤子、n-重MV滤子和n-重布尔滤子,给出它们的一系列刻画定理。通过新的刻画定理得到了这些滤子之间的关系;并且证明了滤子是n-重布尔滤子当且仅当它是n-重蕴含MV滤子。     

剩余格上的MTL-滤子及其刻画

滤子理论在多值逻辑及相关代数研究中起到了非常重要的作用。在交换剩余格上引入了MTL-滤子的概念,并给出了这类滤子的若干的刻画。从MTL-滤子的角度证明了MTL-代数的特征定理。     

剩余格上的(∈,∈vq)-模糊滤子

在剩余格上引入了(∈,∈vq)-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((∈)(∈),vq)-模糊滤子的性质,最后得到模糊滤子、(∈,∈vq)-模糊滤子和((∈),(∈)vq)-模糊滤子之间的关系.     

FI代数上的直觉模糊滤子和同余关系

在FI代数上引入直觉模糊滤子的概念,给出了直觉模糊滤子的一个等价刻画,探讨了由直觉模糊滤子诱导的同余关系,证明了一些性质。     

On the law (a·b'')''=b+a''·b'' in de Morgan algebras and orthomodular lattices

This paper's goal is to prove that the only de Morgan algebras and the only orthomodular lattices in which the law (a·b)=b+a·b, posed by Charles Elkan in [1] holds, are those that are boolean algebras. That is, that among both families of de Morgan algebras and orthomodular lattices, Elkan's formula is only characteristic of boolean algebras.Authors are actually in debt with an anonymous referee that helped them to considerably improve the first version of this paper.This paper has been partially supported by CICYT(Spain) under project TIC2000-1420     

On some properties of quasi-MV algebras and \sqrt{^{\prime}} quasi-MV algebras. Part II

The present paper is a sequel to Paoli F, Ledda A, Giuntini R, Freytes H (On some properties of QMV algebras and QMV algebras, submitted). We provide two representation results for quasi-MV algebras in terms of MV algebras enriched with additional structure; we investigate the lattices of subvarieties and subquasivarieties of quasi-MV algebras; we show that quasi-MV algebras, as well as cartesian and flat quasi-MV algebras, have the amalgamation property.     

格蕴涵代数中的极小素理想及α-理想

在格蕴涵代数中,证明了极小素理想与极小格素理想的等价性,继而给出了极小素理想与零化子的相互表示定理。提出了格蕴涵代数中的[α]-理想概念并给出其若干等价刻画,证明了极小素理想是[α]-理想。证明了全体素[α]-理想之集[Sα(L)]是一个紧的Stone空间,进一步给出[Sα(L)]分别是[T1、][T2]拓扑空间的充要条件。     

Understanding new media literacy: The development of a measuring instrument

The rapid development of mobile technology have proliferated new media to most aspects of our daily life. This new way of consuming and creating information is in particular attractive to youths as a platform and space for activities not passible in the face-to-face context. This highlights the importance for educators and policy makers to understand where our youths are in terms of their capabilities to participate in the new media ecology. This capability can be conceptualized as new media literacy (NML) that has been theorized into four quadrants with ten fine-tuned indicators. However, existing instruments have yet to explore the prosuming aspect of NML. Therefore, the purpose of this study is to develop an instrument to measure youth's NML. This paper reports the development and validation of this instrument. This instrument can be used for further studies, contributing to theory building of NML and assessing students' NML for informing practice in schools. Data were collected from 574 Singapore students range from grade 4 to grade 11 (age 10–17). Results suggest that the instrument is reliable and valid.     

BR0代数的犹豫模糊滤子与理想

将犹豫模糊集应用于[BR0]代数的滤子和理想理论中,初步建立[BR0]代数的犹豫模糊滤子与理想理论。引入了[BR0]代数的犹豫模糊滤子、犹豫模糊理想和犹豫模糊素理想的概念,研究它们的基本性质,给出了[BR0]代数的犹豫模糊集成为犹豫模糊滤子（犹豫模糊理想）的条件,证明了[BR0]代数的犹豫模糊滤子、犹豫模糊理想和犹豫模糊素理想关于交运算具有封闭性,指出了犹豫模糊滤子、犹豫模糊理想和犹豫模糊素理想在[BR0]代数同构下的不变性。     

Development and validation of New Media Literacy Scale (NMLS) for university students

Along with the emergence of new media technologies, individuals are now expected not only to consume but also produce, share and criticize digital contents. Being new media literate, they also need to know socio-cultural and emotional aspects of new media beyond its technical characteristics. New media literacy (NML) involves a series of crucial skills needed for living and working in the mediated and participatory society of 21st century. Although there has been a growing interest in the conceptualization of NML, the literature lacks a measuring instrument to operationalize NML. This study attempts to fill this gap by developing and validating a NML scale (NMLS) for university students. The sample included 1226 students at a state university in Turkey. Both exploratory and confirmatory factor analyses as well as item analyses including internal consistency coefficients, item-total correlations, and item discrimination powers were conducted to determine construct validity and reliability. Consistent with the adopted theoretical framework, the 35-item NMLS comprised four factors: Functional Consumption, Critical Consumption, Functional Prosumption, and Critical Prosumption. Potential applications of NMLS for measuring students’ new media competencies were discussed within the pedagogical and research contexts.     

Partial information basis for agent-based collaborative dialogue

We propose a partial information state-based framework for collaborative dialogue and argument between agents. We employ a three-valued based nonmonotonic logic, NML3, for representing and reasoning about Partial Information States (PIS). NML3 formalizes some aspects of revisable reasoning and it is sound and complete. Within the framework of NML3, we present a formalization of some basic dialogue moves and the rules of protocols of some types of dialogue. The rules of a protocol are nonmonotonic in the sense that the set of propositions to which an agent is committed and the validity of moves vary from one move to another. The use of PIS allows an agent to expand consistently its viewpoint with some of the propositions to which another agent, involved in a dialogue, is overtly committed. A proof method for the logic NML3 has been successfully implemented as an automatic theorem prover. We show, via some examples, that the tableau method employed to implement the theorem prover allows an agent, absolute access to every stage of a proof process. This access is useful for constructive argumentation and for finding cooperative and/or informative answers.     

序列效应代数的Holland理论

介绍了序列效应代数的概念,给出了交换的序列效应代数的一些性质,证明了交换的序列效应代数由素理想诱导的商代数仍然是交换的序列效应代数。最后证明了每一个交换的序列效应代数能被表示为某个反格的自态射形成的序列效应代数。这样的表示是有用的,因为它给出了一个交换的序列效应代数作为自态射的集合的具体化。     

Fuzzy maximal ideals of BCI and MV algebras

We consider fuzzy maximal ideals of BCI, BCK, and MV algebras, and show that such fuzzy ideals take only the values {0,1}, and have level ideals which are maximal ideals of the algebra. It is shown that fuzzy maximal ideals of commutative BCK algebras are fuzzy prime. We establish a correspondence between ideals and fuzzy ideals. In a bounded BCK algebra, this correspondence is one-to-one between maximal ideals and fuzzy maximal ideals. We also show how to construct fuzzy ideals which are not characteristic functions of ideals of an MV algebra.