scholarly journals Characterizations of Right Weakly Regular Semigroups in Terms of Generalized Cubic Soft Sets

Mathematics ◽  
2018 ◽  
Vol 6 (12) ◽  
pp. 293 ◽  
Author(s):  
Muhammad Gulistan ◽  
Feng Feng ◽  
Madad Khan ◽  
Aslıhan Sezgin
Keyword(s):  
Research Direction ◽  
Ideal Theory ◽  
Characteristic Functions ◽  
Algebraic Structures ◽  
Soft Sets ◽  
Regular Semigroups ◽  
Different Types ◽  
Associative Structures ◽  
New Research ◽  
The Ideal

Cubic sets are the very useful generalization of fuzzy sets where one is allowed to extend the output through a subinterval of [ 0 , 1 ] and a number from [ 0 , 1 ] . Generalized cubic sets generalized the cubic sets with the help of cubic point. On the other hand Soft sets were proved to be very effective tool for handling imprecision. Semigroups are the associative structures have many applications in the theory of Automata. In this paper we blend the idea of cubic sets, generalized cubic sets and semigroups with the soft sets in order to develop a generalized approach namely generalized cubic soft sets in semigroups. As the ideal theory play a fundamental role in algebraic structures through this we can make a quotient structures. So we apply the idea of neutrosophic cubic soft sets in a very particular class of semigroups namely weakly regular semigroups and characterize it through different types of ideals. By using generalized cubic soft sets we define different types of generalized cubic soft ideals in semigroups through three different ways. We discuss a relationship between the generalized cubic soft ideals and characteristic functions and cubic level sets after providing some basic operations. We discuss two different lattice structures in semigroups and show that in the case when a semigroup is regular both structures coincides with each other. We characterize right weakly regular semigroups using different types of generalized cubic soft ideals. In this characterization we use some classical results as without them we cannot prove the inter relationship between a weakly regular semigroups and generalized cubic soft ideals. This generalization leads us to a new research direction in algebraic structures and in decision making theory.

scholarly journals (m, n)-Ideals in Semigoups Based on Int-Soft Sets

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
G. Muhiuddin ◽  
Abdulaziz M. Alanazi
Keyword(s):  
Coding Theory ◽  
Abstract Algebra ◽  
Theoretical Physics ◽  
Topological Spaces ◽  
Algebraic Structures ◽  
Soft Sets ◽  
Control Engineering ◽  
Regular Semigroups ◽  
Engineering Information ◽  
Fuzzy Setting

Algebraic structures play a prominent role in mathematics with wide ranging applications in many disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, and topological spaces. This provides sufficient motivation to researchers to review various concepts and results from the realm of abstract algebra in the broader framework of fuzzy setting. In this paper, we introduce the notions of int-soft m , n -ideals, int-soft m , 0 -ideals, and int-soft 0 , n -ideals of semigroups by generalizing the concept of int-soft bi-ideals, int-soft right ideals, and int-soft left ideals in semigroups. In addition, some of the properties of int-soft m , n -ideal, int-soft m , 0 -ideal, and int-soft 0 , n -ideal are studied. Also, characterizations of various types of semigroups such as m , n -regular semigroups, m , 0 -regular semigroups, and 0 , n -regular semigroups in terms of their int-soft m , n -ideals, int-soft m , 0 -ideals, and int-soft 0 , n -ideals are provided.

scholarly journals Debt, Ownership, and Size: The Case of Hospitals in Poland

2021 ◽  
Vol 18 (9) ◽  
pp. 4596
Author(s):  
Katarzyna Miszczyńska ◽  
Piotr Miszczyński
Keyword(s):  
Research Direction ◽  
Public Hospitals ◽  
Financial Situation ◽  
Financial Status ◽  
City Hall ◽  
Financial Condition ◽  
Different Types ◽  
Research Gap ◽  
New Research ◽  
The City

The goal of this study is to compare the financial performance of public hospitals according to ownership and size. The study covered public hospitals in Poland and covered two hospitals types depending on their founding authority, i.e., hospitals established and financed by the Marshal’s Office (Marshal hospitals) or the City Hall (poviat-commune hospitals). The study was based on an analysis of the hospitals’ financial situation (using debt and solvency ratios) and its relationship to the founding body and size. The verification of hypotheses was carried out using the Mann–Whitney U test. The results led to the conclusion that the vast majority of public hospitals are indebted, and their ownership structure does not affect their financial condition. The study did not confirm a significant relationship between size or ownership and the financial status of the hospital. The article aims to fill the research gap regarding the debt analysis between different types of public hospitals. It also presents a new research direction aimed at finding the factors that determine the difficult financial situation of public hospitals in Poland.

A Robust Blind Image Forensic-Detection Method based on Fuzzy Technique

2019 ◽  
Vol 8 (3) ◽  
pp. 5926-5929
Keyword(s):  
Research Direction ◽  
Geometric Transformation ◽  
Detection Accuracy ◽  
Forensic Investigation ◽  
Image Forensic ◽  
Fuzzy Logic Approach ◽  
Logic Approach ◽  
Tampered Image ◽  
New Research ◽  
Blind Image

Blind forensic-investigation in a digital image is a new research direction in image security. It aims to discover the altered image content without any embedded security scheme. Block and key point based methods are the two dispensation options in blind image forensic investigation. Both the techniques exhibit the best performance to reveal the tampered image. The success of these methods is limited due to computational complexity and detection accuracy against various image distortions and geometric transformation operations. This article introduces different blind image tampering methods and introduces a robust image forensic investigation method to determine the copy-move tampered image by means of fuzzy logic approach. Empirical outcomes facilitate that the projected scheme effectively classifies copy-move type of forensic images as well as blurred tampered image. Overall detection accuracy of this method is high over the existing methods.

scholarly journals Advances in the role of miRNAs in the occurrence and development of osteosarcoma

Open Medicine ◽  
2020 ◽  
Vol 15 (1) ◽  
pp. 1003-1011
Author(s):  
Guanyu Zhang ◽  
Yiran Li ◽  
Jiasheng Xu ◽  
Zhenfang Xiong
Keyword(s):  
Target Gene ◽  
Early Stage ◽  
Research Direction ◽  
Research Progress ◽  
Skeletal System ◽  
Translation Process ◽  
Non Coding Rnas ◽  
New Research ◽  
Post Transcriptional Regulation

AbstractOsteosarcoma (OS) is the most common primary malignant tumor of the skeletal system in the clinic. It mainly occurs in adolescent patients and the pathogenesis of the disease is very complicated. The distant metastasis may occur in the early stage, and the prognosis is poor. MicroRNAs (miRNAs) are non-coding RNAs of about 18–25 nt in length that are involved in post-transcriptional regulation of genes. miRNAs can regulate target gene expression by promoting the degradation of target mRNAs or inhibiting the translation process, thereby the proliferation of OS cells can be inhibited and the apoptosis can be promoted; in this way, miRNAs can affect the metabolism of OS cells and can also participate in the occurrence, invasion, metastasis, and recurrence of OS. Some miRNAs have already been found to be closely related to the prognosis of patients with OS. Unlike other reviews, this review summarizes the miRNA molecules closely related to the development, diagnosis, prognosis, and treatment of OS in recent years. The expression and influence of miRNA molecule on OS were discussed in detail, and the related research progress was summarized to provide a new research direction for early diagnosis and treatment of OS.

An algebraic approach to N-soft sets with application in decision-making using TOPSIS

2021 ◽  
pp. 1-21
Author(s):  
Muhammad Shabir ◽  
Rimsha Mushtaq ◽  
Munazza Naz
Keyword(s):  
Decision Making ◽  
Mathematical Models ◽  
Real World ◽  
Algebraic Approach ◽  
Multi Criteria Decision Making ◽  
Commutative Monoids ◽  
Soft Sets ◽  
Algebraic Properties ◽  
Different Types ◽  
Selection Of

In this paper, we focus on two main objectives. Firstly, we define some binary and unary operations on N-soft sets and study their algebraic properties. In unary operations, three different types of complements are studied. We prove De Morgan’s laws concerning top complements and for bottom complements for N-soft sets where N is fixed and provide a counterexample to show that De Morgan’s laws do not hold if we take different N. Then, we study different collections of N-soft sets which become idempotent commutative monoids and consequently show, that, these monoids give rise to hemirings of N-soft sets. Some of these hemirings are turned out as lattices. Finally, we show that the collection of all N-soft sets with full parameter set E and collection of all N-soft sets with parameter subset A are Stone Algebras. The second objective is to integrate the well-known technique of TOPSIS and N-soft set-based mathematical models from the real world. We discuss a hybrid model of multi-criteria decision-making combining the TOPSIS and N-soft sets and present an algorithm with implementation on the selection of the best model of laptop.

Lab Scale Study on Synergistic Disinfection of WWTPS Secondary Effluent by Ultrasonic and Ozone

2012 ◽  
Vol 433-440 ◽  
pp. 4751-4756 ◽  
Author(s):  
Hao Wu ◽  
Zi Fu Li ◽  
Xin Jin ◽  
Xin Zhao ◽  
Fu Rong Deng
Keyword(s):  
Reaction Time ◽  
Removal Rate ◽  
Research Direction ◽  
Synergistic Action ◽  
Color Removal ◽  
Secondary Effluent ◽  
Disinfection Methods ◽  
Number Of Microorganisms ◽  
New Research ◽  
Ozone Disinfection

Secondary effluent from WWTPS still contains a large number of microorganisms, therefore, disinfection is essential. There are many disadvantages in using traditional disinfection methods, so the combination of disinfection techniques is a new research direction. Ozone combined with ultrasound is one of them. In this experiment, the inactivation of the total coli forms, color removal and UV254 removal of secondary effluent by a combination of ultrasonic (frequency20 kHz; power100W) and ozone disinfection was investigated. The results show that the effect of the synergistic action of 30s US and ozone disinfection is superior to the effect of individual ozone disinfection. After 15min synergistic disinfection, the total coli forms inactivation rate is up to 99.9%, simultaneously color removal rate to 80% and UV254 removal rate to 52%. Compared with individual ozone disinfection, reaction time was reduced by 5 min.

A Data Mining Approach to Forming Generic Bills of Materials in Support of Variant Design Activities

2004 ◽  
Vol 4 (4) ◽  
pp. 316-328 ◽  
Author(s):  
Carol J. Romanowski , ◽  
Rakesh Nagi
Keyword(s):  
Data Mining ◽  
Product Family ◽  
Research Direction ◽  
Design Constraints ◽  
Variant Design ◽  
Data Mining Approach ◽  
Design Activities ◽  
Using Data ◽  
New Research

In variant design, the proliferation of bills of materials makes it difficult for designers to find previous designs that would aid in completing a new design task. This research presents a novel, data mining approach to forming generic bills of materials (GBOMs), entities that represent the different variants in a product family and facilitate the search for similar designs and configuration of new variants. The technical difficulties include: (i) developing families or categories for products, assemblies, and component parts; (ii) generalizing purchased parts and quantifying their similarity; (iii) performing tree union; and (iv) establishing design constraints. These challenges are met through data mining methods such as text and tree mining, a new tree union procedure, and embodying the GBOM and design constraints in constrained XML. The paper concludes with a case study, using data from a manufacturer of nurse call devices, and identifies a new research direction for data mining motivated by the domains of engineering design and information.

Vietnamese Proverbs From a Cultural Perspective

2019 ◽  
Author(s):  
Thanh Quy Ngo Thi ◽  
◽  
Hong Minh Nguyen Thi ◽  
Keyword(s):  
Cultural Values ◽  
Language Use ◽  
Interdisciplinary Approach ◽  
Research Direction ◽  
Point Of View ◽  
Traditional Values ◽  
Cultural Perspective ◽  
Language And Culture ◽  
Speakers Of Other Languages ◽  
New Research

Proverbs are important data depicting the traditional culture of each nation. Vietnamese proverbs, dated thousands of years ago, are an immense valuable treasure of experience which the Vietnamese people desire to pass to the younger generations. This paper aims to explore the unique and diversified world of intelligence and spirits of the Vietnamese through a condensed and special literary genre, as well as a traditional value of the nation (Nguyen Xuan Kinh 2013, Tran Ngoc Them 1996, Le Chi Que and Ngo Thi Thanh Quy 2014). Through an interdisciplinary approach, from an anthropological point of view, approaching proverbs we will open up a vast treasure of knowledge and culture of all Vietnamese generations. The study has examined over 16,000 Vietnamese proverbs and analysed three groups expressing Vietnamese people’s behaviors toward nature, society and their selves, and compared them with English and Japanese proverbs. The research has attempted to explore the beauty of Vietnamese language, cultural values and the souls and personalities of Vietnam. Approaching Vietnamese proverbs under the interdisciplinary perspective of language, culture and literature is a new research direction in the field of Social Sciences and Humanity in Vietnam. From these viewpoints, it is seen that proverbs have remarkably contributed to the language and culture of Vietnam as well as and constructed to the practice of language use in everyday life which is imaginary, meaningful and effective in communication. Furthermore, the study seeks to inspire the Vietnamese youth’s pride in national identity and to encourage their preservation and promotion for traditional values of the nation in the context of integration and globalisation. In the meantime, it would be favourable to introduce and market the beauty of Vietnamese language, culture and people to the world, encouraging the speakers of other languages to study, explore and understand Vietnam.

A Hesitant Intuitionistic Fuzzy Set Approach to Study Ideals of Semirings

2021 ◽  
Vol 10 (3) ◽  
pp. 1-17
Author(s):  
Debabrata Mandal
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Cartesian Product ◽  
Intuitionistic Fuzzy Set ◽  
Ideal Theory ◽  
Hesitant Fuzzy Set ◽  
Neutrosophic Set ◽  
Intuitionistic Fuzzy ◽  
Interval Valued ◽  
The Ideal

The classical set theory was extended by the theory of fuzzy set and its several generalizations, for example, intuitionistic fuzzy set, interval valued fuzzy set, cubic set, hesitant fuzzy set, soft set, neutrosophic set, etc. In this paper, the author has combined the concepts of intuitionistic fuzzy set and hesitant fuzzy set to study the ideal theory of semirings. After the introduction and the priliminary of the paper, in Section 3, the author has defined hesitant intuitionistic fuzzy ideals and studied several properities of it using the basic operations intersection, homomorphism and cartesian product. In Section 4, the author has also defined hesitant intuitionistic fuzzy bi-ideals and hesitant intuitionistic fuzzy quasi-ideals of a semiring and used these to find some characterizations of regular semiring. In that section, the author also has discussed some inter-relations between hesitant intuitionistic fuzzy ideals, hesitant intuitionistic fuzzy bi-ideals and hesitant intuitionistic fuzzy quasi-ideals, and obtained some of their related properties.

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