scholarly journals On Neutrosophic Triplet Groups: Basic Properties, NT-Subgroups, and Some Notes

Symmetry ◽  
2018 ◽  
Vol 10 (7) ◽  
pp. 289 ◽  
Author(s):  
Xiaohong Zhang ◽  
Qingqing Hu ◽  
Florentin Smarandache ◽  
Xiaogang An
Keyword(s):  
Theoretical Analysis ◽  
Mathematical Structure ◽  
Structural Features ◽  
Neutrosophic Set ◽  
Neutral Element ◽  
Standard Group ◽  
Basic Properties ◽  
Homomorphism Theorem ◽  
Generalized Symmetry ◽  
Group 3

As a new generalization of the notion of the standard group, the notion of the neutrosophic triplet group (NTG) is derived from the basic idea of the neutrosophic set and can be regarded as a mathematical structure describing generalized symmetry. In this paper, the properties and structural features of NTG are studied in depth by using theoretical analysis and software calculations (in fact, some important examples in the paper are calculated and verified by mathematics software, but the related programs are omitted). The main results are obtained as follows: (1) by constructing counterexamples, some mistakes in the some literatures are pointed out; (2) some new properties of NTGs are obtained, and it is proved that every element has unique neutral element in any neutrosophic triplet group; (3) the notions of NT-subgroups, strong NT-subgroups, and weak commutative neutrosophic triplet groups (WCNTGs) are introduced, the quotient structures are constructed by strong NT-subgroups, and a homomorphism theorem is proved in weak commutative neutrosophic triplet groups.

scholarly journals SINGULAR ORBITS AND DYNAMICS AT INFINITY OF A CONJUGATE LORENZ-LIKE SYSTEM

2015 ◽  
Vol 20 (2) ◽  
pp. 148-167 ◽  
Author(s):  
Fengjie Geng ◽  
Xianyi Li
Keyword(s):  
Theoretical Analysis ◽  
Lyapunov Exponents ◽  
Heteroclinic Orbits ◽  
Chaotic Attractors ◽  
Heteroclinic Cycles ◽  
Basic Properties ◽  
Homoclinic And Heteroclinic Orbits ◽  
Quadratic Nonlinearities ◽  
Singular Orbits

A conjugate Lorenz-like system which includes only two quadratic nonlinearities is proposed in this paper. Some basic properties of this system, such as the distribution of its equilibria and their stabilities, the Lyapunov exponents, the bifurcations are investigated by some numerical and theoretical analysis. The forming mechanisms of compound structures of its new chaotic attractors obtained by merging together two simple attractors after performing one mirror operation are also presented. Furthermore, some of its other complex dynamical behaviours, which include the existence of singularly degenerate heteroclinic cycles, the existence of homoclinic and heteroclinic orbits and the dynamics at infinity, etc, are formulated in detail. In the meantime, some problems deserving further investigations are presented.

On Finite NeutroGroups of Type-NG[1,2,4]

2020 ◽  
pp. 84-95
Author(s):  
admin admin ◽  
Keyword(s):  
Identity Element ◽  
The Other ◽  
Classical Groups ◽  
Basic Properties ◽  
Homomorphism Theorem ◽  
Different Types ◽  
Lagrange's Theorem

The NeutroGroups as alternatives to the classical groups are of different types with different algebraic prop- erties. In this paper, we are going to study a class of NeutroGroups of type-NG[1,2,4]. In this class of Neu- troGroups, the closure law, the axiom of associativity and existence of inverse are taking to be either partially true or partially false for some elements; while the existence of identity element and axiom of commutativity are taking to be totally true for all the elements. Several examples of NeutroGroups of type-NG[1,2,4] are presented along with their basic properties. It is shown that Lagrange’s theorem holds for some NeutroSub- groups of a NeutroGroup and failed to hold for some NeutroSubgroups of the same NeutroGroup. It is also shown that the union of two NeutroSubgroups of a NeutroGroup can be a NeutroSubgroup even if one is not contained in the other; and that the intersection of two NeutroSubgroups may not be a NeutroSubgroup. The concepts of NeutroQuotientGroups and NeutroGroupHomomorphisms are presented and studied. It is shown that the fundamental homomorphism theorem of the classical groups is holding in the class of NeutroGroups of type-NG[1,2,4].

Structural Features Controls of Coalbed Methane (CBM) Accumulation in the Weibei CBM Field, Southeastern Ordos Basin

2014 ◽  
Vol 962-965 ◽  
pp. 79-82 ◽  
Author(s):  
Ya Dong Bai ◽  
Tao Tao Yan ◽  
Jian Guo Wu ◽  
Yong Luo
Keyword(s):  
Theoretical Analysis ◽  
Seismic Data ◽  
Coalbed Methane ◽  
Ordos Basin ◽  
Structural Features ◽  
Gas Content ◽  
Normal Faults ◽  
Distribution Characteristics ◽  
Structural Interpretation ◽  
High Consistency

Based on the structural interpretation of seismic data, we analyzed the gas controlling effects of folds and faults on CBM accumulation qualitatively. Meanwhile, we discussed the lateral sealing ability of the major overthrust faults quantificationally by bringing in “Shale Gouge Ratio (SGR)”, which is proved to be applicable in analyzing the gas controlling effects of faults. The results of the theoretical analysis show that overthrust faults have better sealing effects than normal faults, and synclines are more conducive to CBM accumulation than anticlines. The SGR computed results show a high consistency with the distribution characteristics of the CBM gas content. In all, the folds have little controlling on CBM accumulation, and the faults play a major role in the gas controlling on CBM accumulation in the Weibei CBM field.

scholarly journals NS-Cross Entropy Based MAGDM under Single Valued Neutrosophic Set Environment

2018 ◽  
Author(s):  
Surapati Pramanik ◽  
Shyamal Dalapati ◽  
Shariful Alam ◽  
F. Smarandache ◽  
Tapan Kumar Roy
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Cross Entropy ◽  
Neutrosophic Set ◽  
Entropy Measure ◽  
Numerical Example ◽  
Basic Properties ◽  
Solution Strategies ◽  
The Ideal

Single valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single valued neutrosophic cross entropy bears an asymmetrical behavior and produce an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under single valued neutrosophic set (SVNS) environment namely SN- cross entropy and prove its basic properties. Also we define weighted SN-cross entropy measure and investigate its basic properties. We develop a new multi attribute group decision making (MAGDM) strategy for ranking of the alternatives based on the proposed weighted SN-cross entropy measure between each alternative and the ideal alternative. Finally, a numerical example of MAGDM problem of investment potential is solved to show the validity and efficiency of proposed decision making strategy. We also present comparative anslysis of the obtained result with the results obtained form the existing solution strategies in the solution.

H-Max Single-Valued Neutrosophic Distance Measure in Medical Diagnosis

2021 ◽  
Author(s):  
Ngan Thi Roan ◽  
◽  
Florentin Smarandache ◽  
Keyword(s):  
Similarity Measure ◽  
Medical Diagnosis ◽  
Distance Measure ◽  
Neutrosophic Set ◽  
Characteristic Functions ◽  
Entropy Measure ◽  
Basic Properties ◽  
The Cross

As an instance of a neutrosophic set, a single-valued neutrosophic set (SVNS) can be used to handle uncertainty, inaccuracy, indeterminacy, and inconsistency. In this paper, a new not-so-sophisticated distance measure between two SVNSs is defined by considering the cross-assessment between characteristic functions for the forward and backward differences. Furthermore, a single-valued neutrosophic similarity measure, a single-valued neutrosophic entropy measure, and their basic properties are presented and proven. In addition, an application to medical diagnosis is shown to illustrate the effective applicability of the proposals.

scholarly journals Kaleidoscope Aesthetics in Visual Media

2016 ◽  
Vol 8 (3) ◽  
pp. 48-56
Author(s):  
Maria A Romakina
Keyword(s):  
Theoretical Analysis ◽  
Visual Arts ◽  
Human Body ◽  
Graphic Design ◽  
Textile Industry ◽  
Structural Features ◽  
Visual Media ◽  
Empirical Methods ◽  
The Subject ◽  
First Time

The author analyzes the special type of imagery, that is kaleidoscopic image, and investigates its evolution in photography, video and multimedia from the first vortograph (photo, taken through the prism of the mirrored glasses in 1917 by Alvin Langdon Coburn) until nowdays. The author combines empirical methods with the theoretical analysis. For the first time in the humanitarian historiography a huge package of kaleidoscopic photos, video and multimedia images was collected and systematized. The collection includes works of several dozens artists, some of them interviewed by the author of the research. As a result the author proposes the classification based on the subject regimentation: the entire aggregation of the assembled materials is divided into three main groups - the human body, the nature objects, the architecture. The images in each group are analyzed with respect to their structural features, composition and semantics, creation technology. Two structural features were singled out as unifying for all three groups: ambivalent character of the kaleidoscopic image as a symmetrically organized chaos, as well as a trend to transform a realistic recognizable subject into an abstract pattern. Kaleidoskoping is considered to be of the form generated mechanisms not only in the visual arts, but also in practice-oriented areas: design and graphic design, textile industry and fashion, ceramics, glass industry, etc.

Design and Knitting Technology of Maifan Stone Fiber Knitted Fabrics

2012 ◽  
Vol 503-504 ◽  
pp. 223-227
Author(s):  
Li Ming Shang ◽  
Jia Guang Meng ◽  
Cai Ling Ren
Keyword(s):  
Structural Features ◽  
Knitted Fabrics ◽  
Basic Properties ◽  
Blended Yarn ◽  
Key Points ◽  
Process Studies

This article mainly describes the development and design of maifan stone fiber blended yarn knitted fabrics for the six textures, focus on the key points of knitting and knitting process, studies on basic structural features of knitted fabrics, and testes on the basic properties of fabrics. It is showed from the testing result that pure maifan stone fiber is suitable for developing knitted fabrics

Synthesis and Evaluation of Substituted Aryl Thiazoles With Antioxidant Potential as Gastro-sparing Anti-inflammatory Agents

2020 ◽  
Vol 17 (12) ◽  
pp. 1566-1578
Author(s):  
Akhil Bansal ◽  
Alka Bali ◽  
Ajitesh Balaini
Keyword(s):  
Antioxidant Activity ◽  
Ascorbic Acid ◽  
Reducing Power ◽  
Structural Features ◽  
Inflammatory Activity ◽  
Standard Group ◽  
Standard Drug ◽  
Rat Paw Edema ◽  
Anti Inflammatory

Background: NSAIDs are used as first-line drugs for the treatment of various inflammatory disorders. Chronic use of NSAIDs is known to be associated with gastrointestinal and renal toxicity. Local generation of reactive oxygen species finally resulting in cellular apoptosis is one of the accepted mechanisms for NSAID-induced toxicity. Objective: The objective of the present study was to design and synthesize a series of 2-methane sulfonamido substituted arylthiazole derivatives by including structural features of combined antiulcer and anti-inflammatory activity utilizing as the structural core, thiazole nucleus with potential for antioxidant effect. Methods: Compounds were designed based on three dimensional and field similarity studies. The synthesized compounds were evaluated for their anti-inflammatory activity in carrageenan-induced rat paw edema model. Rofecoxib and indomethacin were taken as standard drugs for comparison. The in vitro antioxidant activity was assessed in potassium ferricyanide reducing power (PFRAP) assay employing ascorbic acid as the standard drug. Results: The compounds 6 and 7 showed good anti-inflammatory activity comparable to the standard group and were also non ulcerogenic at the test doses. Compounds 1-7 displayed varying degrees of reducing power in the PFRAP) assay and the methanesulphonamido derivatives 4-7 showed the highest antioxidant activity (EC50 values 3.7-5.1 μmol/ml vs ascorbic acid 7.4 μmol/ml). Theoretical ADME profiling of the compounds based on selected physicochemical properties showed excellent compliance with Lipinski’s rule. Conclusion: A series of compounds have been designed and synthesized having dual antioxidant and anti-inflammatory activity with activities comparable to standard drugs.

Coupling 6-chloro-3-methyluracil with copper: structural features, theoretical analysis, and biofunctional properties

2021 ◽  
Vol 50 (38) ◽  
pp. 13533-13542
Author(s):  
Brajesh Kumar ◽  
Tushar Das ◽  
Subhadeep Das ◽  
Waldemar Maniukiewicz ◽  
Dmytro S. Nesterov ◽  
...  
Keyword(s):  
Antioxidant Activity ◽  
Theoretical Analysis ◽  
Structural Features ◽  
Antibacterial And Antioxidant Activity

A unique copper(ii) complex with 6-chloro-3-methyluracil was assembled and fully characterized, revealing a notable antibacterial and antioxidant activity.

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