1,720,960 research outputs found
On the Refined Neutrosophic Nonabelian P-Groups of a Given Order
No full textIn every nonabelian neutrosophic p-group G(I), possessing two neutrosophic cyclic subgroups X(I)i and X(I)j , the quotient neutrosophic group of G(I) by X(I)i is isomorphic to the neutrosophic cyclic group X(I)j for i, j ∈ {1, 2}, i /= j. Moreover, if p > 2 and G(I) is metacyclic, possessing a neutrosophic nonabelian section Y (I), of order p3, then Y (I) is a trivial neutrosophic subgroup of G(I)
On the Inner Automorphisms and Central Automorphisms of Nilpotent Group of Class 2 Which Fix the Centre Elementwise
Full text linkSuppose that G is a finite p-group. It was shown (see [2]) that C∗ the set of all central automorphisms of G which elementarily fixes the centre of G elementwise, is isomorphic to the group of all Inner automorphisms of G if and only if G is abelian or G is nilpotent of class 2 for which the centre of G is cyclic. More so, if G is finitely generated then G can be represented in a particular simple form (see [3]). Moreover, suppose that G is a finite p-group such that Aut(G) ≡ Epm . Then , CAutc (G)(Z(G)) = G/Z(G)
On Refined Neutrosophic Finite p-Group
No full textThe neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we show that if any neutrosophic group of the sequence G (I), X1, X2, … is the identity, then G (I) is nilpotent
On Refined Neutrosophic Finite p-Group
No full textThe neutrosophic automorphisms of a neutrosophic groups G (I), denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we show that if any neutrosophic group of the sequence G (I), X1, X2, … is the identity, then G (I) is nilpotent
On Refined Neutrosophic Finite p-Group
Full text linkThe neutrosophic automorphisms of a neutrosophic groups G (I), denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we show that if any neutrosophic group of the sequence G (I), X1, X2, … is the identity, then G (I) is nilpotent
Fuzzy Soft Sets and its Application to Decision Making: A Short Case Study Involving the Health Sector
Full text linkThe health sector faces uncertainty and complex decision-making scenarios, making traditional analytical tools insufficient. The fuzzy soft set theory has emerged as a powerful framework for modeling and reasoning with uncertain information, with promising applications in the health domain. This project explores the application of fuzzy soft sets in various decision-making processes in the health sector, including medical diagnosis, disease classification, treatment planning, risk assessment, patient stratification, and predictive modeling. The study reviews historical development of fuzzy set theory and its extension to soft sets, discussing challenges, limitations, and future research directions. The findings aim to contribute to the growing body of knowledge on the practical relevance and potential of fuzzy soft set theory in addressing healthcare decision-making needs
THE NEUTROSOPHIC HOM - GROUPS AND NEUTROSOPHIC HOM - SUBGROUPS I
No full text
Hom-groups are the non-associative generalization of a group whose associativity and unitality are twisted by a compatible bijective map. The neutrosophic set is a powerful tool in dealing with incomplete, indeterminate and inconsistent data that exist in the real world. Neutrosophic set is characterized by the truth membership function in the set (T), indeterminacy membership function in the set (I) and falsity membership function in the set (F) where 0 ≤ T + I + F ≤ 3+. In this work, efforts are intensified to clearly exemplify and create distinctions between certain structural ( classical ) groups , which are neutrosophic Hom groups and those which are not. Some examples of the neutrosophic Hom groups are also carefully constructed with elementary features and characterizations such as the subgroup series as well as their lattices. Finally , the certainty of the Lagranges theorem involving the subgroup of any finite neutrosophic Hom - group G(I
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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