THE NECESSITY OF THE STRONG α-CUTS OF A FUZZY SET

Author(s):  
INÉS COUSO ◽  
SUSANA MONTES ◽  
PEDRO GIL

Some aspects of the relationship between Goodman and Nguyen's one-point coverage interpretation of a fuzzy set and Zadeh's possibilistic interpretation are discussed. As a result of this, we derive a new interpretation of the strong α-cut of a normalized fuzzy set, namely that of being the most precise set we are sure to contain an unknown parameter with probability greater than or equal to 1-α.

Slavic Review ◽  
1971 ◽  
Vol 30 (2) ◽  
pp. 249-256
Author(s):  
Karl von Loewe

The existence of compulsory military service has become a major theme in recent attempts to explain the development of Lithuanian society and politics in the early sixteenth century. Much of the discussion has centered on the relationship between military service and feudalism. This article concentrates not on that question but on the nature of military service and the understanding it can provide of the structure and dynamics of the economy of Lithuania in the sixteenth century.


2018 ◽  
Vol 1 (1) ◽  
pp. 809-816
Author(s):  
Anna Kwiotkowska ◽  
Magdalena Gębczyńska

Abstract The purpose of this paper is to explore causal complexity in the relationship between environmental uncertainty and firm’s performance. Due to complexity in the external and internal environment, the relationship between environment and firm performance rests not only on a single attribute but on the interrelation and complementarities between multiple characteristics such as firm features and external factors. This study examines the influence of a firm’s specific characteristics and the dimensions of environmental uncertainty on the company’s performance. Fuzzy-set qualitative comparative analysis is used to analyze data collected via questionnaires from 58 Polish small and medium enterprises (SMEs). The results suggest that characteristics of the general business environment, as well as the firm-specific characteristics all matter to firm performance. In addition, our findings clearly demonstrate that the determination of high firm performance is underpinned by substantial interdependence among the selected conditions and complexity. Therefore, any particular condition may have a different or even opposite effect on the outcome depending on the presence or absence of other conditions. Based on this, we conclude that external environmental uncertainty characteristics, with the dimensions of competitive intensity, technological turbulence and market/demand turbulence, are not as important as the other conditions for high-performing firms. The study offers a new perspective on the relationship between environmental uncertainty and firm performance with its systematic comparative analysis of complex cases. It identifies different combinations of conditions (paths) leading to a high firm performance.


Author(s):  
Vincenzo Paolo Bagnato

In the last decades, the concept of cultural landscape, in its physical and social dimension, has been stoked by the contribution of a new interpretation of “technology,” understood as an innovative approach in the definition of new relationships between information, sustainability, and public space. It is a perspective that follows the changing cultural references of urban society, wondering which is the relationship between embodiment and location, between technological innovation and urban structure and how the digital and information revolution could influence and define the characteristics of urban aesthetics in the contemporary city. This chapter offers a key for reading these topics, starting from the analysis of the grid city's ontological space, its image between morphology and technology, between streets/buildings and infrastructure/landscapes, and finally, defining new ethical and dialogical interpretative approaches on sustainability and urban development, trying to find out the potentialities of the grid cities as complex public space systems.


Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 993
Author(s):  
Jeong-Gon Lee ◽  
Mohammad Fozouni ◽  
Kul Hur ◽  
Young Bae Jun

In 2020, Kang, Song and Jun introduced the notion of multipolar intuitionistic fuzzy set with finite degree, which is a generalization of intuitionistic fuzzy set, and they applied it to BCK/BCI-algebras. In this paper, we used this notion to study p-ideals of BCI-algebras. The notion of k-polar intuitionistic fuzzy p-ideals in BCI-algebras is introduced, and several properties were investigated. An example to illustrate the k-polar intuitionistic fuzzy p-ideal is given. The relationship between k-polar intuitionistic fuzzy ideal and k-polar intuitionistic fuzzy p-ideal is displayed. A k-polar intuitionistic fuzzy p-ideal is found to be k-polar intuitionistic fuzzy ideal, and an example to show that the converse is not true is provided. The notions of p-ideals and k-polar ( ∈ , ∈ ) -fuzzy p-ideal in BCI-algebras are used to study the characterization of k-polar intuitionistic p-ideal. The concept of normal k-polar intuitionistic fuzzy p-ideal is introduced, and its characterization is discussed. The process of eliciting normal k-polar intuitionistic fuzzy p-ideal using k-polar intuitionistic fuzzy p-ideal is provided.


2014 ◽  
Vol 73 (1) ◽  
Author(s):  
Redi Halimi

AbstractThis article investigates the events of the Frasheri government in interwar Albania. This government, usually described as liberal or as of the “Young” represented a novelty for Albanian society of the time, but lasted only one year. This study seeks to investigate what elements characterised this government, who were the protagonists and what consequences had the Frasheri experiment for the country? Through the study of domestic and foreign politics and the analysis of the relationship with the local press, the paper investigates the Minister’s actions in detail. The Frasheri government, defined by the historiographical literature as a liberal experiment of the zoghist era, has never been thoroughly studied. Through unexplored sources from the Albanian press and archival sources from Rome and Tirana, this study presents a new interpretation of the Frasheri government.


2014 ◽  
Vol 73 (1) ◽  
pp. 306-333
Author(s):  
Redi Halimi

Abstract This article investigates the events of the Frasheri government in interwar Albania. This government, usually described as liberal or as of the “Young” represented a novelty for Albanian society of the time, but lasted only one year. This study seeks to investigate what elements characterised this government, who were the protagonists and what consequences had the Frasheri experiment for the country? Through the study of domestic and foreign politics and the analysis of the relationship with the local press, the paper investigates the Minister’s actions in detail. The Frasheri government, defined by the historiographical literature as a liberal experiment of the zoghist era, has never been thoroughly studied. Through unexplored sources from the Albanian press and archival sources from Rome and Tirana, this study presents a new interpretation of the Frasheri government.


2019 ◽  
Vol 61 (3) ◽  
pp. 680-711 ◽  
Author(s):  
Mathieu Hikaru Desan

AbstractWhat is the relationship between schism and political identity? Existing scholarship has tended to focus on the determinants of schism while treating the ideational basis on which schisms are made as largely fixed. In this paper, I develop a new interpretation of the 1933 “neo-socialist schism” within the French Socialist Party to highlight how new political identities can be constituted in and through the process of schism itself. The 1933 schism is often understood as the convergence of a doctrinal revision called “neo-socialism” and a separate tactical challenge to the party's parliamentary practice. But a careful reading of the factional conflict within the party reveals that it was the preceding tactical debate over ministerial participation that was transformed over time into a debate over socialist doctrine. This distinction between “tactics” and “doctrine” performatively defined the limits of acceptable party discourse, and as such was both a weapon and a stake in the factional conflict. I trace the evolution of this conflict and show that, so long as the minority faction was weak, the issue of participation was widely considered “tactical” and thus safe for discussion. But when minority strength grew, the majority sought to redefine the conflict as doctrinal to delegitimate the challengers. Finally, only when a schism appeared inevitable did the challengers themselves adopt the label of “neo-socialism.” Neo-socialism was thus not a pre-constituted political heresy driving the schismatic process, but the contingent and emergent outcome of this very process.


2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Małgorzata Sztubecka ◽  
Jacek Sztubecki

Abstract The paper describes the differences between the actual results of the measurement of equivalent sound level and the feelings of people visiting "a Spa Park". Noise, as one of the environmental pollutants, cause detrimental effects on the recipient. Measurements of noise are usually performed in urban areas, especially in the road environments, providing a basis for measures to limit their impact on the environment. Often in the measurement there are ignored areas for recreation. Usually, they do not determine the relationship between the results of measurements of noise equivalent sound level and the individual feelings of the people living in these areas. The analysis was performed with the use of fuzzy set theory. The evaluation of the acoustic climate on the "Spa Park" should be determined on the basis of sound level measurements and questionnaires.


2019 ◽  
Vol 19 (6) ◽  
pp. 1889-1929
Author(s):  
Cristian Lenart ◽  
Kirill Zainoulline ◽  
Changlong Zhong

We study the equivariant oriented cohomology ring $\mathtt{h}_{T}(G/P)$ of partial flag varieties using the moment map approach. We define the right Hecke action on this cohomology ring, and then prove that the respective Bott–Samelson classes in $\mathtt{h}_{T}(G/P)$ can be obtained by applying this action to the fundamental class of the identity point, hence generalizing previously known results of Chow groups by Brion, Knutson, Peterson, Tymoczko and others. Our main result concerns the equivariant oriented cohomology theory $\mathfrak{h}$ corresponding to the 2-parameter Todd genus. We give a new interpretation of Deodhar’s parabolic Kazhdan–Lusztig basis, i.e., we realize it as some cohomology classes (the parabolic Kazhdan–Lusztig (KL) Schubert classes) in $\mathfrak{h}_{T}(G/P)$. We make a positivity conjecture, and a conjecture about the relationship of such classes with smoothness of Schubert varieties. We also prove the latter in several special cases.


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