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Relevant bibliographies by topics / Smarandache's Neutrosophy

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Academic literature on the topic 'Smarandache's Neutrosophy'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Smarandache's Neutrosophy"

1

Lupianez, Francisco Gallego. "On neutrosophic paraconsistent topology." Kybernetes 39, no. 4 (2010): 598–601. https://doi.org/10.1108/03684921011036817.

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Recently, F. Smarandache generalized the Atanassov's intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets (NSs). Also, this author introduced a general definition of neutrosophic topology. On the other hand, there exist various kinds of paraconsistent logics, where some contradiction is admissible. The purpose of this paper is to show that a Smarandache's definition of neutrosophic paraconsistent topology is not a generalization of Çoker's intuitionistic fuzzy topology (IFT) or Smarandache's general neutrosophic topology.

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Voskoglou, Michael Gr. "From Zadeh’s Fuzziness to Smarandache’s Neutrosophy: A Review." International Journal of Applied Mathematics, Computational Science and Systems Engineering 4 (December 31, 2022): 98–104. http://dx.doi.org/10.37394/232026.2022.4.13.

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The present paper reviews the process that led from Zadeh’s fuzziness to Smarandache’s neutrosophy. Starting from fuzzy sets and logic and Atanassov’s intuitionistic fuzzy sets, it proceeds to a detailed study of the concept of neutrosophic set, which takes in account the existing in real life indeterminacy. The basic operations on neutrosophic sets are defined and the classical notion of topological space is extended to the notion of neutrosophic topological space, where fundamental properties and concepts like convergence, continuity, compactness and Hausdorff topological spaces are naturall

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3

Novak-Marcincin, Jozef, Adrian Nicolescu, and Mirela Teodorescu. "Neutrosophic Circuits of Communication - A Review." International Letters of Social and Humanistic Sciences 43 (November 2014): 174–86. http://dx.doi.org/10.18052/www.scipress.com/ilshs.43.174.

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“Communication Neutrosophic Routes” by Florentin Smarandache and Ştefan Vlăduţescu was published by Education Publishing, Ohio, USA, on May 2014. Florentin Smarandache and Ştefan Vlăduţescu are two remarcable professors, first at University of New Mexico/ USA, the second at University of Craiova/ Romania, with many researches in neutrosophical, communication, mathematic, literature, journalism, social sciencies. Neutrosophy had been in the emergence phase since 1995. With its certification by the scientific community, Neutrosophy has become a type of incident knowledge, i.e. applicable in diff

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4

Al-Odhari, Adel Mohammed. "Axiomatic of Neutrosophic Groups." مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا 2, no. 2 (2024): 205–14. http://dx.doi.org/10.59628/jast.v2i2.793.

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The aim of this article is to; present a neutrosophic group according to axioms such as classical group theory and the neutrosophic set, and to study some properties and theorems related to the neutrosophic group. The new concept of the neutrosophic set is a new approach that is suitable for mathematical problems related to philosophical concepts, such as uncertainty and indeterminacy, in which human knowledge and human evaluation are necessary. Neutrosophic algebra is a branch of neutrosophic set theory, and in 2004, Kandasamy and Smarandache introduced basic neutrosophic algebraic structures

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5

Kandasamy W.B., Vasantha, Ilanthenral Kandasamy, and Florentin Smarandache. "Neutrosophic Duplets of {Zpn,×} and {Zpq,×} and Their Properties." Symmetry 10, no. 8 (2018): 345. http://dx.doi.org/10.3390/sym10080345.

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The notions of neutrosophy, neutrosophic algebraic structures, neutrosophic duplet and neutrosophic triplet were introduced by Florentin Smarandache. In this paper, the neutrosophic duplets of Z p n , Z p q and Z p 1 p 2 … p n are studied. In the case of Z p n and Z p q , the complete characterization of neutrosophic duplets are given. In the case of Z p 1 … p n , only the neutrosophic duplets associated with p i s are provided; i = 1 , 2 , … , n . Some open problems related to neutrosophic duplets are proposed.

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Al-Odhari, Adel Mohammed. "Neutrosophic Cosets and Neutrosophic Normal Subgroups of Neutrosophic Groups Associated With Gt1 [I]." مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا 3, no. 3 (2025): 848–60. https://doi.org/10.59628/jast.v3i3.1666.

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The Article discusses neutrosophic left/right cosets, their properties, neutrosophic normal subgroups, and neutrosophic quotient groups with some theories and examples. The concept of Neutrosophic Groups was introduced by Kandasamy and Smarandache in their work in 2006 as part of a broader field of research in neutrosophy. Neutrosophic Groups are defined by classical NeutroAxioms according to the Neutrosophic Set theory, which has type-1, The paper explores various structures related to Neutrosophic Groups, including examples of neutrosophic groups, neutrosophic left/right cosets, neutrosophic

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Alamin, Abdul, Aditi Biswas, Kamal Hossain Gazi, and Sankar Prasad Mondal Sankar. "Modelling with Neutrosophic Fuzzy Sets for Financial Applications in Discrete System." Spectrum of Engineering and Management Sciences 2, no. 1 (2024): 263–80. https://doi.org/10.31181/sems21202433a.

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A unique branch of philosophy known as "Neutrosophy" describes the nature, genesis and scope of neutralities. F. Smarandache originated the neutrosophic set. As an extension of the intuitionistic set, he showed the degree of indeterminacy as an independent component. The application of the neutrosophic numbers, that is, the financial applications in discrete systems is analysed here. In this research paper, we consider the two cases of the financial applications of the neutrosophic environment with its numerical illustration on the basis of fuzzy difference equations.

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Voskoglou, Michael Gr. "Neutrosophic Assessment and Decision Making." EQUATIONS 3 (October 2, 2023): 68–72. http://dx.doi.org/10.37394/232021.2023.3.9.

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Smarandache’s theory of neutrosophy is a generalization of Zadeh’s fuzziness characterizing each element of the universal set with the membership degree, as in fuzzy sets, and in addition with the degrees of non-membership and indeterminacy with respect to the corresponding neutrosophic set. In the present work we use neutrosophic sets as tools for assessment and decision making. This turns out to be very useful when one is not sure about the correctness of the grades assigned to the elements of the universal set. Examples are also presented illustrating our results.

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9

Smarandache, Florentin, and Victor Christianto. "A few little steps beyond Knuth’s Boolean Logic Table with Neutrosophic Logic: A Paradigm Shift in Uncertain Computation." Prospects for Applied Mathematics and Data Analysis 2, no. 2 (2023): 22–26. http://dx.doi.org/10.54216/pamda.020201.

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The present article delves into the extension of Knuth’s fundamental Boolean logic table to accommodate the complexities of indeterminate truth values through the integration of neutrosophic logic (Smarandache Christianto, 2008). Neutrosophic logic, rooted in Florentin Smarandache’s groundbreaking work on Neutrosophic Logic (cf. Smarandache, 2005, and his other works), introduces an additional truth value, ‘indeterminate,’ enabling a more comprehensive framework to analyze uncertainties inherent in computational systems. By bridging the gap between traditional boolean operations and the indete

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10

Saber, Yaser, Fahad Alsharari, and Florentin Smarandache. "On Single-Valued Neutrosophic Ideals in Šostak Sense." Symmetry 12, no. 2 (2020): 193. http://dx.doi.org/10.3390/sym12020193.

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Neutrosophy is a recent section of philosophy. It was initiated in 1980 by Smarandache. It was presented as the study of origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. In this paper, we introduce the notion of single-valued neutrosophic ideals sets in Šostak’s sense, which is considered as a generalization of fuzzy ideals in Šostak’s sense and intuitionistic fuzzy ideals. The concept of single-valued neutrosophic ideal open local function is also introduced for a single-valued neutrosophic topological space. The basic structure, espe

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Books on the topic "Smarandache's Neutrosophy"

1

Smarandache, Florentin. Neutrosophic theory and its applications. EuropaNova, 2014.

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2

Kandasamy, W. B. Vasantha. Smarandache Neutrosophic Algebraic Structures. Hexis, 2006.

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3

Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures. Hexis, 2006.

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Book chapters on the topic "Smarandache's Neutrosophy"

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Caballero, Erick González. "Introduction to the Finite NeutroGeometries." In NeutroGeometry, NeutroAlgebra, and SuperHyperAlgebra in Today's World. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-4740-6.ch003.

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NeutroGeometries generalize geometries in the same way that NeutroAlgebras generalize universal and partial algebras. NeutroGeometry is not one kind of classical geometry, but it can be a combination of some of them in the same space. For the first time, this chapter introduces notions of NeutroGeometry for finite geometries. Finite geometries consist of incidence structures where the set of points has finite cardinality. Usually, they are either projective or affine geometries. In this chapter, the author is mainly focused on the definition of the mixed projective-affine geometry (MPA geometr

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2

Basumatary, Bhimraj, Jeevan Krishna Khaklary, Nijwm Wary, and Florentin Smarandache. "On Neutro-Topological Spaces and Their Properties." In Advances in Computer and Electrical Engineering. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-6684-3495-6.ch011.

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There is a lot of ambiguous information in the real world that crisp values can't manage. The fuzzy set theory was proposed by Zadeh. It is an age-old and excellent tool for dealing with uncertain information. As a result, intuitionistic fuzzy set theory was suggested. However, these theories are incapable of dealing with all forms of uncertainty, such as indeterminate and inconsistent data in various decision-making situations. To address this shortfall, Smarandache proposed the neutrosophic set theory by introducing a degree of indeterminacy as an independent component. In this current decad

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3

Gomathi Nayagam, V. Lakshmana, Daniel P., and Bharanidharan R. "Interval Valued Neutrosophic Information System and Its Applications to Decision Making." In Advances in Chemical and Materials Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-3204-7.ch017.

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Smarandache introduced neutrosophic sets, interval-valued / n-valued refined neutrosophic sets due to their utility in various research fields. Multi criteria decision making problem in which evaluations of the alternatives based on criteria are given in the form of single-valued / interval-valued neutrosophic triplets (SVNT / IVNT) is an important area in neutrosophic research. Nayagam, et al have developed total ordering method to rank SVNT / IVNT. Few dominance-based ranking techniques have also been developed in the recent years to identify the best alternative in an information system. In

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4

Debnath, Somen. "Inverse Single-Valued Neutrosophic Soft Set and Its Application." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch032.

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Single-valued neutrosophic set (SVNS) can be viewed as an instance of the neutrosophic set (NS) proposed by Smarandache in 2005 to solve real decision-making problems that contain imperfect knowledge of the domain. Embedding the idea of SVNS with the soft set (SS), a new mathematical structure known as a single-valued neutrosophic soft set (SVNSS) is introduced to model the vague concept parametrically. In this chapter, the authors introduce a new soft model, namely inverse single-valued neutrosophic soft set (ISVNSS), that can be perceived as another mathematical model which is used to solve

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Conference papers on the topic "Smarandache's Neutrosophy"

1

Albeanu, Grigore, and Marin Vlada. "NEUTROSOPHIC APPROACHES IN E-LEARNING ASSESSMENT." In eLSE 2014. Editura Universitatii Nationale de Aparare "Carol I", 2014. http://dx.doi.org/10.12753/2066-026x-14-208.

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Due to the large number of variables necessary to evaluate the e-learning and their imprecision or uncertainty aspects, a new approach based on neutrosophy [4] can provide a better interpretation of the assessment results. The following classes of variables will be modelled by neutrosophic entities (sets, numbers, logics, probabilities, statistics): learner variables - including learner attitude and motivation, learning environment variables - including real, augmented or virtual environments, contextual variables - including informal, formal, or adult education, technology variables - includi

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