In search of cognitive equilibrium: Beauty,quality and harmony

The field of MCDM should become significantly concerned about problems that are also qualitative, ‘messy’, fuzzy or not well-defined—they abound in human systems. Dealing exclusively with quantitatively well-defined problematique (the proverbial ‘finding the shortest path’) is part of the unidimensional legacy of OR/MS: it programmatically neglects attributes of beauty, quality, harmony, aesthetics, safety and reliability. Yet these are the criteria which are ardently sought after by modern humans, while being mostly ignored or neglected by modern technocrats.     

Fuzzy rough sets: Survey and proposal of an enhanced knowledge representation model based on automatic noisy sample detection

Fuzzy Rough Set (FRS) theory, which has been emerged thanks to unifying Rough Set and Fuzzy Set ones, is a powerful mathematical tool for handling and processing real data of imprecise, incomplete, inconsistent and uncertain nature. It has drawn attention of many researchers, scientists and industrials in various domains over the last three decades. However, different studies have showed that its classical knowledge representation model has a main weakness linked to its sensitivity to data noise which decreases both its effectiveness and application scope. In this paper, we survey the current FRS paradigms developed to deal with this issue and propose a new FRS model based on the Automatic Noisy Sample Detection (ANSD-FRS) able to cope with noise influence in classification tasks. Besides, we study the principal properties of this new model and reformulate the most applied FRS concepts relying on its operators. Numerous experiments have been conducted to analyze the ANSD-FRS behavior compared to the commonly used FRS models reputed as the most noise-resistant paradigms. These experiment results have proved the performance and robustness of the ANSD-FRS in comparison with those renowned models.     

Life,Chaos, and Transdisciplinarity: A Personal Journey

This article uses an autobiography as an object of research, to both illustrate some principles of chaos theory in analytic practice, and give those ideas a personal and social context, thereby producing a unique but explanation-rich history of chaos theory and recent intellectual history of transdisciplinarity and social research in the West. The ideas from Chaos Theory it uses and illustrates include: three-body analysis (Poincaré); fractals (Mandelbrot); fuzzy logic (Zadeh); and the butterfly effect (Lorenz).     

Mathematical Fuzzy Logic – What It Can Learn from Mostowski and Rasiowa

Important works of Mostowski and Rasiowa dealing with many-valued logic are analyzed from the point of view of contemporary mathematical fuzzy logic.A version of this paper has been presented during the conference Trends in Logic III, dedicated to the memory of A. MOSTOWSKI, H. RASIOWA and C. RAUSZER, and held in Warsaw and Ruciane-Nida from 23rd to 25th September 2005.     

模糊偏序关系在心理学研究中的应用

本文首次给出建立模糊偏序关系矩阵的可行途径。以大学生的颜色爱好实验为例,论证了采用本文所建立的模糊偏序关系矩阵进行排序的方法是制作顺序量表的一种较佳方法。     

Compound stimuli in emergent stimulus relations: Extending the scope of stimulus equivalence

Three experiments were conducted to investigate stimulus relations that might emerge when college students are taught relations between compound sample stimuli and unitary comparison stimuli using match-to-sample procedures. In Experiment 1, subjects were taught nine AB-C stimulus relations, then tested for the emergence of 18 AC-B and BC-A relations. All subjects showed the emergence of all tested relations. Twelve subjects participated in Experiment 2. Six subjects were taught nine AB-C relations and were then tested for symmetrical (C-AB) relations. Six subjects were taught nine AB-C and three C-D relations and were then tested for nine AB-D (transitive) relations. Five of 6 subjects demonstrated the emergence of symmetrical relations, and 6 subjects showed the emergence of transitivity. In Experiment 3, 5 college students were taught nine AB-C and three C-D relations and were then tested for nine equivalence (D-AB) relations and 18 AD-B and BD-A relations. Three subjects demonstrated all tested relations. One subject demonstrated the AD-B and BD-A relations but not the D-AB relations. One subject did not respond systematically during testing. The results of these experiments extend stimulus equivalence research to more complex cases.     

Kripke Frame with Graded Accessibility and Fuzzy Possible World Semantics

A possible world structure consist of a set W of possible worlds and an accessibility relation R. We take a partial function r(·,·) to the unit interval [0, 1] instead of R and obtain a Kripke frame with graded accessibility r Intuitively, r(x, y) can be regarded as the reliability factor of y from x We deal with multimodal logics corresponding to Kripke frames with graded accessibility in a fairly general setting. This setting provides us with a framework for fuzzy possible world semantics. The basic propositional multimodal logic gK (grated K) is defined syntactically. We prove that gK is sound and complete with respect to this semantics. We discuss some extensions of gK including logics of similarity relations and of fuzzy orderings. We present a modified filtration method and prove that gK and its extensions introduced here are decidable.     

肯定性“重要度“语义量词的多级估量模糊集模型建立及其应用

在人员选拔和心理素质评价研究中,需要通过被研究者在特定的问题、事件或情境上所作出的评价,来了解他们的心理活动特点。为了确保评价的可靠性,在量表设定上多采用自然语言的回答方式,如是或否,或极重要、很重要、较重要、稍重要等.等级性自然语言可表征人们评价事物的心理量,称语义量词.但这些语义量词不是一个数值,而是一个边界不确定的数量范围,难以作数量化分析,一直是心理测量方法学研究的重要课题。马谋超提出的模糊评判的“多级估量法”［‘l为等级性自然语言的数量化研究提供了重要的理论依据。优秀军事指挥员心理选拔与…     

Computably Enumerable Equivalence Relations

We study computably enumerable equivalence relations (ceers) on N and unravel a rich structural theory for a strong notion of reducibility among ceers.     

Cognitive Factors Affecting Freeze-like Behavior in Humans

Contemporary research on survival-related defensive behaviors has identified physiological markers of freeze/flight/fight. Our research focused on cognitive factors associated with freeze-like behavior in humans. Study 1 tested if an explicit decision to freeze is associated with the psychophysiological state of freezing. Heart rate deceleration occurred when participants chose to freeze. Study 2 varied the efficacy of freezing relative to other defense options and found “freeze” was responsive to variations in the perceived effectiveness of alternative actions. Study 3 tested if individual differences in motivational orientation affect preference for a “freeze” option when the efficacy of options is held constant. A trend in the predicted direction suggested that naturally occurring cognitions led loss-avoiders to select “freeze” more often than reward-seekers. In combination, our attention to the cognitive factors affecting freeze-like behavior in humans represents a preliminary step in addressing an important but neglected research area.