scholarly journals Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1376 ◽  
Author(s):  
Madeline Al Tahan ◽  
Sarka Hoskova-Mayerova ◽  
Bijan Davvaz

The concept of fuzzy multiset is well established in dealing with many real life problems. It is possible to find various applications of algebraic hypercompositional structures in natural, technical and social sciences, where symmetry, or the lack of symmetry, is clearly specified and laid out. In this paper, we use fuzzy multisets to introduce the concept of fuzzy multi- H v -ideals as a generalization of fuzzy H v -ideals. Moreover, we introduce the concept of generalized fuzzy multi- H v -ideals as a generalization of generalized fuzzy H v -ideals. Finally, we investigate the properties of these new concepts and present different examples.

2020 ◽  
Vol 13 (3) ◽  
pp. 427-443 ◽  
Author(s):  
Tareq M. AL-shami ◽  
E. A. Abo-Tabl ◽  
Baravan Assad ◽  
Mohamed Arahet

Sometimes we need to minimize the conditions of topology for different reasons such as obtaining more convenient structures to describe some real-life problems, or constructing some counterexamples whom show the interrelations between certain topological concepts, or preserving some properties under fewer conditions of those on topology. To contribute this research area, in this paper, we establish some new concepts on supra topological spaces using supra semi-open sets and give some characterizations of them. First, we introduce a concept of supra semi limit points of a set and study main properties, in particular, on the spaces that possess the difference property. Second, we define and investigate new separation axioms, namely supra semi Ti-spaces (i = 0, 1, 2, 3, 4) and give complete descriptions for each one of them. We provide some examples to show the relationships between them as well as with STi-space.


Author(s):  
Dragan Cenić ◽  
Jelena Petrović

This paper represents the attempt of the authors to understand and present, from historical perspective, the interest in natural and social sciences, and especially the interest in introducing their contents into teaching. Thus, the authors analyze the interest in natural and social sciences in Ancient Greek and Roman thought, then in Middle Ages and finally in 18th and 19th century when the solid grounds for science teaching was established. The paper points out to the existence of the first traces of science a couple of thousands years B. C., but the development of science connects to the ancient Greece and its major thinkers who made the first theories about the origin of the world. Further studies of nature were, in the Middle Ages, dominated by the Christian ideology in which the origin of the world and occurrence of living creatures were usually connected to the mystic forces. Only with the development of Renaissance, thinkers put the man and his real life problems in the center of their thought. Only then we can testify the stronger interest in natural sciences. In the circumstances of humanistic shaping of social life, entering of scientific contents into teaching and appearance of scientific subjects came naturally. The Modern Epoch brought the great advances in natural and social sciences. At the same time the demands for introducing scientific knowledge into teaching subjects became more prominent. Special credits for introducing science into teaching and development of methodology of science subjects are paid to the great scientists and thinkers of 18th and 19th century.


2019 ◽  
Vol 15 (02) ◽  
pp. 333-350 ◽  
Author(s):  
Chiranjibe Jana ◽  
Madhumangal Pal ◽  
Faruk Karaaslan ◽  
Aslihan Sezgi̇n

Molodtsov initiated the soft set theory, providing a general mathematical framework for handling uncertainties that we encounter in various real-life problems. The main object of this paper is to lay a foundation for providing a new soft algebraic tool for considering many problems that contain uncertainties. In this paper, we introduce a new kind of soft ring structure called [Formula: see text]-soft-intersectional ring based on some results of soft sets and intersection operations on sets. We also define [Formula: see text]-soft-intersectional ideal and [Formula: see text]-soft-intersectional subring, and investigate some of their properties using these new concepts. We obtain some results in ring theory based on [Formula: see text]-soft intersection sense and its application in ring structures. Furthermore, we provide relationships between soft-intersectional ring and [Formula: see text]-soft-intersectional ring, soft-intersectional ideal and [Formula: see text]-soft-intersectional ideal.


Author(s):  
Jela Steinerová

Over the last decades information and knowledge have become global and traditional disciplines of humanities and social sciences have searched for new methodological models related to knowledge and information. Based on information science as social science I would like to investigate the role of human beings in creation, communication and use of information. Information problems of people are complex real-life problems which need new methods...


The theory of collections is a necessary mathematical tool. It gives mathematical models for the class of problems that explains with exactness, precision and uncertainty. Characteristically, non crisp set theory is extensional. More often than not, the real life problems inherently involve uncertainties, imprecision and not clear. In particular, such classes of problems arise in economics, engineering, environmental sciences, medical sciences, and social sciences etc. They studied basic operations over the fermatean uncertainty sets. Here we shall introduce three new operations, subtraction, division, and fermatean sum of mean operations over fermatean uncertainty sets. Several researchers have considered q-rung orthopair fuzzy sets as fermatean uncertainty sets (FUSs). The Fuzzy Set Theory approach is found most appropriate for dealing with uncertainties. However, it is short of providing a mechanism on how to set the membership function extremely individualistic. The major reason for these difficulties arising with the above theories is due to the inadequacies of their parameterization tools. In order to overcome these difficulties, in 1999 Molodtsov [7] introduced the concept of soft set as a completely new Mathematical tool with adequate parameterization for dealing with uncertainties. In this area, we introduce the concept of cubic fermatean uncertainty soft set and define cubic fermatean uncertainty soft sub algebra of KU-algebras’ which is applicable in various algebraic structures. In addition, we proved every closed cubic fermatean uncertainty soft ideal is a cubic fermatean uncertainty soft KU-algebra and every closed cubic fermatean uncertainty soft ideal is a cubic fermatean uncertainty soft ideal. Also, we discuss the closed cubic fermatean uncertainty ideal structures on fermatean uncertainty soft set. Finally, we prove that every closed cubic fermatean uncertainty soft ideal of a non-empty set is a cubic fermatean uncertainty soft ideal and converse part is not true with suitable example.


1970 ◽  
Author(s):  
Matisyohu Weisenberg ◽  
Carl Eisdorfer ◽  
C. Richard Fletcher ◽  
Murray Wexler

2021 ◽  
Vol 11 (11) ◽  
pp. 4757
Author(s):  
Aleksandra Bączkiewicz ◽  
Jarosław Wątróbski ◽  
Wojciech Sałabun ◽  
Joanna Kołodziejczyk

Artificial Neural Networks (ANNs) have proven to be a powerful tool for solving a wide variety of real-life problems. The possibility of using them for forecasting phenomena occurring in nature, especially weather indicators, has been widely discussed. However, the various areas of the world differ in terms of their difficulty and ability in preparing accurate weather forecasts. Poland lies in a zone with a moderate transition climate, which is characterized by seasonality and the inflow of many types of air masses from different directions, which, combined with the compound terrain, causes climate variability and makes it difficult to accurately predict the weather. For this reason, it is necessary to adapt the model to the prediction of weather conditions and verify its effectiveness on real data. The principal aim of this study is to present the use of a regressive model based on a unidirectional multilayer neural network, also called a Multilayer Perceptron (MLP), to predict selected weather indicators for the city of Szczecin in Poland. The forecast of the model we implemented was effective in determining the daily parameters at 96% compliance with the actual measurements for the prediction of the minimum and maximum temperature for the next day and 83.27% for the prediction of atmospheric pressure.


2021 ◽  
Vol 13 (6) ◽  
pp. 3465
Author(s):  
Jordi Colomer ◽  
Dolors Cañabate ◽  
Brigita Stanikūnienė ◽  
Remigijus Bubnys

In the face of today’s global challenges, the practice and theory of contemporary education inevitably focuses on developing the competences that help individuals to find meaningfulness in their societal and professional life, to understand the impact of local actions on global processes and to enable them to solve real-life problems [...]


Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1242
Author(s):  
Ramandeep Behl ◽  
Sonia Bhalla ◽  
Eulalia Martínez ◽  
Majed Aali Alsulami

There is no doubt that the fourth-order King’s family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, it has a linear order of convergence in the case of multiple roots. In order to improve these complications, we suggested a new King’s family of iterative methods. The main features of our scheme are the optimal convergence order, being free from derivatives, and working for multiple roots (m≥2). In addition, we proposed a main theorem that illustrated the fourth order of convergence. It also satisfied the optimal Kung–Traub conjecture of iterative methods without memory. We compared our scheme with the latest iterative methods of the same order of convergence on several real-life problems. In accordance with the computational results, we concluded that our method showed superior behavior compared to the existing methods.


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