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Artykuły w czasopismach na temat „Smarandache basis”

Autor: Grafiati

Data publikacji: 3 czerwca 2025

Data aktualizacji: 31 lipca 2025

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1

Pietkiewicz, Tadeusz. "Fusion of Identification Information from ESM Sensors and Radars Using Dezert–Smarandache Theory Rules." Remote Sensing 15, no. 16 (2023): 3977. http://dx.doi.org/10.3390/rs15163977.

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This paper presents a method of fusion of identification (attribute) information provided by two types of sensors: combined primary and secondary (IFF) surveillance radars and ESMs (electronic support measures). In the first section, the basic taxonomy of attribute identification is adopted in accordance with the standards of STANAG 1241 ed. 5 and STANAG 1241 ed. 6 (draft). These standards provide the following basic values of the attribute identifications: FRIEND; HOSTILE; NEUTRAL; UNKNOWN; and additional values, namely ASSUMED FRIEND and SUSPECT. The basis of theoretical considerations is De

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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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3

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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Wadei, Wadei, M. M.Kaviyarasu, and Rajeshwari M. "Operations on Translation of Fermatean Neutrosophic INK-Algebra." International Journal of Neutrosophic Science 25, no. 4 (2025): 135–46. https://doi.org/10.54216/ijns.250411.

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This paper investigates the theoretical basis of fermatean neutrosophic sets, which were first introduced by Smarandache, to clarify the relationship between single-valued fermatean neutrosophic sets and their role as specific subsets in the wider context of fermatean neutrosophic sets, particularly in science and engineering. This study investigates fermatean neutrosophic INK-ideals within INK-algebras using the translation concept, which is proposed as an extension of intuitionistic fuzzy sets. First, translation fermatean neutrosophic INKalgebras are presented and their fundamental features

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5

Fang, Yingwu. "ADAPTIVE VISUAL TRACKING METHOD OF FUSING MULTIPLE INFORMATION." Latin American Applied Research - An international journal 50, no. 1 (2019): 27–32. http://dx.doi.org/10.52292/j.laar.2020.165.

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The objective is to present an adaptive tracking approach of visual objects in the framework of particle filters (PF) and conflict redistribution strategy based on Dezert-Smarandache theory (DSmT). A combination rule of conflict redistribution was introduced into the researches on visual objects tracking, position and color information of moving objects were combined by modified combination strategy information, and the objects tracking model of fusing multiple information on the condition of occluded objects was established effectively. On the basis of building the execution panel of objects

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6

Liu, Yanpei. "Surface Embeddability of Graphs via Reductions." International J.Math. Combin. Vol.3 (May 1, 2011): 61–67. https://doi.org/10.5281/zenodo.9152.

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Shved, A. V. "DEVELOPMENT OF TECHNIQUE FOR DETERMINING THE MEMBERSHIP FUNCTION VALUES ON THE BASIS OF GROUP EXPERT ASSESSMENT IN FUZZY DECISION TREE METHOD." Radio Electronics, Computer Science, Control, no. 2 (June 27, 2024): 106. http://dx.doi.org/10.15588/1607-3274-2024-2-11.

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Context. Recently, fuzzy decision trees have become widely used in solving the classification problem. In the absence of objective information to construct the membership function that shows the degrees of belongingness of elements to tree nodes, the only way to obtain information is to involve experts. In the case of group decision making, the task of aggregation of experts’ preferences in order to synthesize a group decision arises. The object of the study is group expert preferences of the degree of belonging (membership function) of an element to a given class, attribute, which require str

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8

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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9

A. Soliman, Entesar. "Basic concepts of neutrosophic crisp sets." Libyan Journal of Science &Technology 12, no. 1 (2024): 187–93. https://doi.org/10.37376/ljst.v12i1.7057.

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The world around us is characterized by specificity, ambiguity, and contradiction, which led to a lack of our full knowledge of its facts and events. Therefore, we became in need of a new vision and a logical system that fits our incomplete information. In 1965, the American scientist F. Smarandache presented neutrosophic logic as a generalization of fuzzy logic and intuitive fuzzy logic. He added a new component to the degrees of a membership function and a non-membership function, which is the degree of indeterminacy. The crispneutrosophic sets presented by Ahmed Salama is considered a gener

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10

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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11

Uluçay, Vakkas, Memet Şahin, and Nasruddin Hassan. "Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making." Symmetry 10, no. 10 (2018): 437. http://dx.doi.org/10.3390/sym10100437.

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Smarandache defined a neutrosophic set to handle problems involving incompleteness, indeterminacy, and awareness of inconsistency knowledge, and have further developed it neutrosophic soft expert sets. In this paper, this concept is further expanded to generalized neutrosophic soft expert set (GNSES). We then define its basic operations of complement, union, intersection, AND, OR, and study some related properties, with supporting proofs. Subsequently, we define a GNSES-aggregation operator to construct an algorithm for a GNSES decision-making method, which allows for a more efficient decision

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12

Hassan, Nasruddin, Vakkas Uluçay, and Mehmet Şahin. "Q-Neutrosophic Soft Expert Set and its Application in Decision Making." International Journal of Fuzzy System Applications 7, no. 4 (2018): 37–61. http://dx.doi.org/10.4018/ijfsa.2018100103.

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This article describes how Smarandache defined neutrosophic sets to handle problems involving incomplete, indeterminacy and awareness of inconsistency knowledge, and is further developed to neutrosophic soft expert sets by Sahin et al. Adam and Hassan defined multi Q-fuzzy soft sets as an extension to fuzzy soft sets and gave its applications. This article will extend this further by presenting a novel concept of Q-neutrosophic soft expert sets, and define the associated related concepts and basic operations of complement, subset, union, intersection, AND and OR. This novel concept enables the

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13

HUANG, XINHAN, XINDE LI, MIN WANG, and JEAN DEZERT. "A FUSION MACHINE BASED ON DSMT AND PCR5 FOR ROBOT'S MAP RECONSTRUCTION." International Journal of Information Acquisition 03, no. 03 (2006): 201–11. http://dx.doi.org/10.1142/s0219878906000964.

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Characteristics of uncertainty, imprecision, and even imperfection are presented from knowledge acquisition in map reconstruction using sonar sensors fixed on autonomous mobile robot. In order to improve the precision of the fusion and performances of map reconstruction, we propose in this paper a new fusion machine based on Dezert-Smarandache Theory (DSmT) coupled with the fifth Proportional Conflict Redistribution rule (PCR5) for dealing with uncertain and conflicting evidences provided by homogeneous or heterogeneous sources of information. We propose a belief model for sonar grid map and s

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14

Yi, Wang, Fang Yingwu, Zhang Jian, and Li Pengyang. "Dezert–Smarandache theory for multiple targets tracking in natural environment." March 15, 2013. https://doi.org/10.5281/zenodo.34800.

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The aim of this article was to investigate multiple targets tracking in natural environment based on Dezert–Smarandache theory (DSmT). On the basis of establishing conflict strategy and combination model, the basic framework and algorithm of fusing multi-source information were described.

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15

M.M., Jaradat, Janem M.F., and Alawneh A.J. "On the Basis Number of the Strong Product of Theta Graphs with Cycles." August 6, 2008. https://doi.org/10.5281/zenodo.823497.

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In graph theory, there are many numbers that give rise to a better understanding and interpretation of the geometric properties of a given graph such as the crossing number, the thickness, the genus, the basis number, etc..

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Said, Broumi, and Smarandache Florentin. "Several Similarity Measures of Neutrosophic Sets." October 3, 2013. https://doi.org/10.5281/zenodo.30312.

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Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets. We will present a method to calculate the distance between neutrosophic sets (NS) on the basis of the Hausdorff distance. Then we will use this distance to generate a new similarity measure to calculate the degree of similarity between NS. Finally we will prove some properties of the proposed similarity measures

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17

Jean-Marc, Tacnet, and Dezert Jean. "Cautious OWA and Evidential Reasoning for Decision Making under Uncertainty." July 1, 2015. https://doi.org/10.5281/zenodo.22443.

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To make a decision under certainty, multicriteria decision methods aims to choose, rank or sort alternatives on the basis of quantitative or qualitative criteria and preferences expressed by the decision-makers. However, decision is often done under uncertainty: choosing alternatives can have different consequences depending on the external context (or state of the word). In this paper, a new methodology called Cautious Ordered Weighted Averaging with Evidential Reasoning (COWA-ER) is proposed for decision making under uncertainty to take into accou

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18

Erick, González-Caballero, Y. Leyva-Vázquez Maikel, Batista-Hernández Noel, and Smarandache Florentin. "NeutroGeometry and Fractal Geometry." September 1, 2024. https://doi.org/10.5281/zenodo.13768893.

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Geometries are structures with certain elements like points, lines, planes, and spaces, among others, that satisfy certain definitions, axioms, properties, and theorems for the total of the elements. NeutroGeometries are geometric structures that meet at least one of these concepts only partially, never for 100% or 0% of the elements. Until now, NeutroGeometries have been developed from the ideas of classical geometries such as Euclidean, Hyperbolic, Elliptic, Mixed (Smarandache) geometries, among others where axiomatization is the basis of their construction. This paper aims to discuss some i

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19

Hashem, Bordba, Long Xin Xiao, Ali Borzooei Rajab, and Bae Jun Young. "Positive implicative ideals of BCK-algebras based on neutrosophic sets and falling shadows." February 11, 2022. https://doi.org/10.5281/zenodo.6041290.

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Neutrosophy is introduced by F. Smarandache in 1980 which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophy considers a proposition, theory, event, concept, or entity, ”A” in relation to its opposite, ”Anti-A” and that which is not A, ”Non-A”, and that which is neither ”A” nor ”Anti-A”, denoted by ”Neut-A”. Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set, and neutrosophic statistics. In this article,

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20

Temitope, Gbolahan Jaiyeola. "Basic Properties Of Second Smarandache Bol Loops." March 6, 2010. https://doi.org/10.5281/zenodo.32303.

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Hassan, Rashed Yassein, and Omran Karim Mazen. "On Smarandache M-Semigroup." November 28, 2011. https://doi.org/10.5281/zenodo.32319.

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In this research, we defined the term a Smarandache M – semigroup (S-M-semigroup) and studied some basic properties. Also defined Smarandache fuzzy M-semigroup and some elementary properties about this concepts are discussed .

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Balasubramanian, S., C. Sandhya, and P. Aruna Swathi Vyjayanthi. "Smarandache V- Connected Spaces." October 19, 2009. https://doi.org/10.5281/zenodo.9679.

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After the introduction of semi open sets by Norman Levine various authors have turned their attentions to this concept and it becomes the primary aim of many mathematicians to examine and explore how far the basic concepts and theorems remain true if one replaces open set by semi open set.

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N.Kannappa and Suresh K. "Algorithmic Structure of Smarandache-Lattice." May 19, 2019. https://doi.org/10.5281/zenodo.2986673.

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In this paper, we introduced Smarandache-2-algebraic structure of Lattice. A Smarandache-2- algebraic structure on a set N means a weak algebraic structure S1 on N such that there exist a proper subset M of N, which is embedded with a stronger algebraic structure S2, stronger algebraic structure means satisfying more axioms, that is S<sub>1</sub><<S<sub>2</sub>, by proper subset one can understand a subset different from the empty set, from the unit element if any, from the whole set. We define Smarandache-Lattice and construct its algorithms through orthomodular lattice ,residuated latt

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N., KANNAPPA, and HIRUDAYARAJ P. "SMARANDACHE - R - MODULE AND MORITA CONTEXT." September 6, 2014. https://doi.org/10.5281/zenodo.23192.

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In this paper we introduced Smarandache - 2 - algebraic structure of R-Module namely Smarandache - R - Module. A Smarandache - 2 - algebraic structure on a set N means a weak algebraic structure A0 on N such that there exist a proper subset M of N, which is embedded with a stronger algebraic structure A1, stronger algebraic structure means satisfying more axioms, by proper subset one understands a subset from the empty set, from the unit element if any , from the whole set. We de ne Smarandache - R - Module and obtain some of its characterization through S - algebra an

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N., KANNAPPA, and SURESH K. "SMARANDACHE LATTICE AND PSEUDO COMPLEMENT." June 17, 2015. https://doi.org/10.5281/zenodo.23190.

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In this paper, we have introduced smarandache - 2 - Algebraic structure of lattice namely smarandache lattice. A smarandache 2- algebraic structure on a set N means a weak algebraic structure Ao on N such that there exists a proper subset M of N which is embedded with a stronger algebraic structure A1. Stronger algebraic structure means a structure which satis es more axioms, by proper subset one can understand a subset different from the empty set, by the unit element if any, and from the whole set. We have de ned smarandache lattice and obtained some of its

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N., KANNAPPA, and SURESH K. "SMARANDACHE LATTICE AND PSEUDO COMPLEMENT." July 1, 2015. https://doi.org/10.5281/zenodo.23485.

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In this paper, we have introduced Smarandache - 2 - Algebraic structure of lattice namely Smarandache lattice. A Smarandache 2- algebraic structure on a set N means a weak algebraic structure Ao on N such that there exists a proper subset M of N which is embedded with a stronger algebraic structure A1. Stronger algebraic structure means a structure which satis es more axioms, by proper subset one can understand a subset di erent from the empty set, by the unit element if any, and from the whole set. We have defined Smarandache lattice and obtained some of its

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Lal, Shankar. "Parallel Transport Frame of Smarandache Curves in Euclidean Space." Journal of Mountain Research 16, no. 1 (2021). http://dx.doi.org/10.51220/jmr.v16i1.23.

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In the present work, we introduce Parallel transport frames of Smarandache curves in Euclidean space. In the first section, we give the basic tools of a parallel transport frame of a curve in 4-dimensional Euclidean space. In the second section, we study Smarandache curve of Euclidean space in parallel transport frame, we solve a few theorems, corollaries and examples. Again third section, we define parallel transport frame to the Smarandache curve and obtain some definitions and their apparatus. Further fourth section, we have also explained to Frenet frame of principal normal, binomial and t

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Han, Ren, and Yun Bai. "Structures of Cycle Bases with Some Extremal Properties." May 1, 2014. https://doi.org/10.5281/zenodo.9221.

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In this paper, authors  investigate the structures of cycle bases with extremal properties which are related with map geometries, i.e., Smarandache 2-dimensional manifolds. They first study the long cycle base structures in a cycle space of a graph. Results show that much information about long cycles is contained in a longest cycle base.

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Xiaohong, Zhang, Smarandache Florentin, Ali Mumtaz, and Liang Xingliang. "COMMUTATIVE NEUTROSOPHIC TRIPLET GROUP AND NEUTRO-HOMOMORPHISM BASIC THEOREM." May 15, 2019. https://doi.org/10.5281/zenodo.2838452.

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Recently, the notions of neutrosophic triplet and neutrosophic triplet group are introduced by Florentin Smarandache and Mumtaz Ali. The neutrosophic triplet is a group of three elements that satisfy certain properties with some binary operations. The neutrosophic triplet group is completely different from the classical group in the structural properties.

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Huda, E. Khalid, Smarandache Florentin, and K. Essa Ahmed. "The Basic Notions for (over, off, under) Neutrosophic Geometric Programming Problems." May 16, 2019. https://doi.org/10.5281/zenodo.2864616.

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Neutrosophic (over, off, under) set and logic were defined for the first time in 1995 by Florentin Smarandace, and presented during 1995-2018 to various national and international conferences and seminars.

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N., KANNAPPA, and B.FAIROSEKANI. "SOME EQUIVALENT CONDITIONS OF SMARANDACHE - SOFT NEUTROSOPHIC-NEAR RING." January 27, 2015. https://doi.org/10.5281/zenodo.23507.

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In this paper, we introduced Samarandache-2-algebraic structure of Soft Neutrosophic-Near ring namely Smarandache-Soft Neutrosophic-Near ring. A Samarandache-2-algebraic structure on a set N means a weak algebraic structure S1 on N such that there exist a proper subset M of N, Which is embedded with a stronger algebraic structure S2, stronger algebraic structure means satisfying more axioms, that is S1 S2, by proper subset one can understand a subset di erentnbsp;from the empty set, from the unit element if any, from the Whole set. We de nenbsp;Smarandache - Soft Neutrosoph

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Radescu, N., and E. Radescu. "Some Elementary Algebraic Considerations Inspired by Smarandache Type Functions." May 1, 1999. https://doi.org/10.5281/zenodo.9383.

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The basic idee a of this paper is the algebraic construction of some functions representing prolongations of the Smarandache type functions to more complete sets already known and having specified properties.

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Khalid, Huda E., Florentin Smarandache, and Ahmed K. Essa. "The Basic Notions for (over, off, under) Neutrosophic Geometric Programming Problems." Neutrosophic Sets and Systems 22 (December 10, 2018). https://doi.org/10.5281/zenodo.2160623.

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Neutrosophic (over, off, under) set and logic were defined for the first time in 1995 by Florentin Smarandache, and presented during 1995-2018 to various national and international conferences and seminars. The (over, off, under) neutrosophic geometric programming was put forward by Huda et al. in an attempt to define a new type of geometric programming using (over, off, under) neutrosophic less than or equal to. This paper completes the basic notions of (over, off, under) neutrosophic geometric programming illustrating its convexity condition, and its decomposition theorems.

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Xian, LI, CHEN Zhigang, and JING Peiliang. "DSmH Evidential Network for Target Identication." April 1, 2015. https://doi.org/10.5281/zenodo.22912.

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p>This paper proposes a model of evidential network based on Hybrid Dezert-Smarandache theory (DSmH)br /> to improve target identi cation of multi-sensors. In the classi cation simulation, we compared thebr /> results obtained at the Target Type node and Foe-Ally node in evidential network by using Dempster-br /> Shafer theory (DS) and using DSmH. The comparisons show that, when we use DSmH in the evidentialbr /> network, we can assign more Basic Belief Assignments (BBA) to the focal element the target belongs to.br /> Experiments con rm that the model of evidential network u

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Kannappa, N., and K. Suresh. "ON Some Characterization of Smarandache Lattice with Pseudo complement." September 6, 2000. https://doi.org/10.5281/zenodo.9667.

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Stronger algebraic structure means that it is satisfying more axioms, by proper subset one understands a subset different from the empty set, from the unit element if any, and from the whole set. We define smarandache lattice and obtain some of its characterization through Pseudo complemented .For basic concept we refer to Padila Raul.

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N.Kannappa and P.Tamilvani. "ON SOME CHARACTERIZATION OF SMARANDACHE - BOOLEAN NEAR - RING WITH SUB-DIRECT SUM STRUCTURE." August 6, 2013. https://doi.org/10.5281/zenodo.23194.

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In this paper, we introduced Samarandache-2-algebraic structure of Boolean-near-ring namely Smarandache-Boolean-near-ring. A Samarandache-2-algebraic structure on a set N means a weak algebraic structure S1 on N such that there exist a proper subset M of N, which is embedded with a stronger algebraic structure S2, stronger algebraic structure means satisfying more axioms, that is S1 << S2, by proper subset one understands a subset different from the empty set, from the unit element if any, from the whole set. We define Smarandache-Boolean-near-ring and obtain the

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Ren, Han, and Jing Ren. "Shortest Co-cycle Bases of Graphs." August 31, 2009. https://doi.org/10.5281/zenodo.9642.

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In this paper we investigate the structure of the shortest co-cycle base(or SCB in short) of connected graphs, which are related with map geometries, i.e., Smarandache 2-dimensional manifolds. By using a Hall type theorem for base transformation, we show that the shortest co-cycle bases have the same structure (there is a 1-1 correspondence between two shortest co-cycle bases such that the corresponding elements have the same length). As an application in surface topology, we show that in an embedded graph on a surface any nonseparating cycle can’t be generated by separati

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Chetry, Moon K., and W.B Vasantha. "Smarandache Idempotents infinite ring Zn and in Group Ring ZnG." January 30, 2005. https://doi.org/10.5281/zenodo.9159.

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This paper has 4 sections. In section 1, we just give the basic definition of S-idempotents in rings. In section 2, we prove the existence of S-idempotents in the ring Zn where n = 2mp;m 2 N and p is an odd prime.

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39

M., S. A. Bataineh, Jaradat M.M.M., and Al-Qeyyam M.K. "On the Basis Number of the Wreath Product of Wheels with Stars." December 15, 2010. https://doi.org/10.5281/zenodo.825499.

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The basis number of a graph G is defined to be the least integer d such that G has a d-fold basis for its cycle space. In this work, the basis number for the wreath product of wheels with stars is investigated.

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40

Mullin, Albert. "ON THE SMARANDACHE FUNCTION AND THE FIXED - POINT THEORY OF NUMBERS." September 22, 1986. https://doi.org/10.5281/zenodo.9064.

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This brief note points out several basic connections between the Smarandache function, fixed-point theory and prime-number theory. First recall that fixed-point theory in function spaces provides elegent, if not short, proofs of the existence of solutions to many kinds of differential equations, integral equations, optimization problems and game-theoretic problems. 

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41

Ye, Jun. "Aggregation operators of neutrosophic linguistic numbers for multiple attribute group decision making." January 15, 2016. https://doi.org/10.5281/zenodo.232946.

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Based on the concept of neutrosophic linguistic numbers (NLNs) in symbolic neutrosophic theory presented by Smarandache in 2015, the paper firstly proposes basic operational laws of NLNs and the expected value of a NLN to rank NLNs. Then, we propose the NLN weighted arithmetic average (NLNWAA) and NLN weighted geometric average (NLNWGA) operators and discuss their properties.

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42

Sunay, P. Pai, and S. Prabhu Gaonkar Rajesh. "The safety assessment in dynamic conditions using interval neutrosophic sets." February 18, 2021. https://doi.org/10.5281/zenodo.4549330.

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In this paper, the notions of three operators, Basic Belief Assignment Operator, Dynamic Basic Belief Assignment Operator, and Dynamic Weight Vector Operator in interval neutrosophic set are defined and presented. The procedure based on Dynamic Basic Belief Assignment and Dynamic Weight Vector using Dezert-Smarandache Theory is developed to solve the dynamic decision-making problems in a neutrosophic environment where criteria values take the form of interval neutrosophic numbers collected at various periods. Practical applications for validating the proposed method and assessing system safety

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A., A. Salama. "Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology." July 1, 2015. https://doi.org/10.5281/zenodo.22438.

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Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. The fundamental concepts of neutrosophic set, introduced by Smarandache and Salama. In Geographical information systems (GIS) there is a need to model spatial regions with indeterminate boundary and under indeterminacy. In this paper the structure of some classes of neutrosophic crisp nearly open sets are investigated and some applications are given. Finally we generalize the crisp topological and intuitioistic studies to the notion of neutrosop

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44

Jean, Dezert, and Tacnet Jean-Marc. "Evidential Reasoning for Multi-Criteria Analysis Based on DSmT-AHP." July 1, 2015. https://doi.org/10.5281/zenodo.22462.

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In this paper, we present an extension of the multi-criteria decision making based on the Analytic Hierarchy Process (AHP) which incorporates uncertain knowledge matrices for generating basic belief assignments (bba’s). The combination of priority vectors corresponding to bba’s related to each (sub)-criterion is performed using the Proportional Conflict Redistribution rule no. 5 proposed in Dezert-Smarandache Theory (DSmT) of plausible and paradoxical reasoning. The method presented here, called DSmT-AHP, is illustrated on very simple examples.

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45

Perry, Jon. "THE SCIENCE OF LUCKY SCIENCES." August 1, 2006. https://doi.org/10.5281/zenodo.9580.

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A lucky science as defined by Smarandache is whereby the correct result to a mathematical equation is achieved by erroneous methods ([1]). For example, if asked 10+10, we might say 20, which happens to be correct in all positive integer bases except for base 2, in which case the answer should have been 100. As we probably did the sum in base 10, we have been lucky (however we would have been unlucky in base 2). This paper questions under which circumstances we may be lucky or unlucky.

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Çakmak, Ali, and Pelin Ezgi Epik. "Comments on Parallel Curves in 3-Dimensional Lie Group G." Türk Doğa ve Fen Dergisi, March 21, 2024. http://dx.doi.org/10.46810/tdfd.1424728.

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In this study, firstly, basic concepts in 3-dimensional Euclidean space and basic information about curves are given and some special curves are examined. Then, basic information about Lie algebra and Lie group basic concepts and curves are given and special curves such as helix, involute-evolute, Bertrand, Mannheim, Smarandache, are defined. Secondly, inspired by these special curves examined in the Lie group, the definitions of the parallel curve in the vector direction, the parallel curve in the direction of the vector B and the parallel curve in the direction of the linear combination of t

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Xian, LI, CHEN Zhigang, and JING Peiliang. "DSmH Evidential Network for Target Identication." August 17, 2015. https://doi.org/10.5281/zenodo.32214.

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p>This paper proposes a model of evidential network based on Hybrid Dezert-Smarandache theory (DSmH)br /> to improve target identi cation of multi-sensors. In the classi cation simulation, we compared thebr /> results obtained at the Target Type node and Foe-Ally node in evidential network by using Dempster-br /> Shafer theory (DS) and using DSmH. The comparisons show that, when we use DSmH in the evidentialbr /> network, we can assign more Basic Belief Assignments (BBA) to the focal element the target belongs to.br /> Experiments con rm that the model of evidential network u

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Qaisar, Khan, Mahmood Tahir, and Hassan Nasruddin. "Multi Q-Single Valued Neutrosophic Soft Expert Set and its Application in Decision Making." May 21, 2019. https://doi.org/10.5281/zenodo.3075167.

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Smarandache introduced the concept of neutrosophic set which is the genralistion of fuzzy set, intuitionistic fuzzy set and a better mathematical tool to handle incomplete, inconsistance and vague information. In this work, we propose the concept of multi Q-single valued neutrosophic soft expert set and its basic operations such as, union, intersection, complement, And and OR. Further, we construct an algorithm for decision-making method on multi Q-SVNSES. Finally, an example is provided to show the practicality and effectiveness of the proposed algorithm which consist of indeterminate and inc

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Peng, Li, Huang Xinhan, Wang Min, and Zeng Xiangjin. "Multiple Mobile Robots Map Building Based on DSmT." December 6, 2014. https://doi.org/10.5281/zenodo.34861.

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In this paper, a new multi-robot system framework is introduced to solve the problem of multi-robot map building. Compared with the classical architectures introduced in the literature, this kind of framework enhances overall system performance, especially in reducing calculations and communications, improving real-time performance. Meanwhile a general basic belief assignment function (gbbaf) is constructed to deal with the uncertain and imprecise information obtained by sonar sensors with the application of new information fusion method DSmT (Dezert and Smarandache Theory) in the system and c

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Xiaohong, Zhang, Mao Xiaoyan, Wu Yuntian, and Zhai Xuehuan. "NEUTROSOPHIC FILTERS IN PSEUDO-BCI ALGEBRAS." May 21, 2019. https://doi.org/10.5281/zenodo.3077461.

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The concept of the neutrosophic set was introduced by Smarandache; it is a mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. The notion of pseudo-BCI algebra was introduced by Dudek and Jun; it is a kind of nonclassical logic algebra and has a close connection with various noncommutative fuzzy logics. In this paper, neutrosophic set theory is applied to pseudo-BCI algebras. The new concepts of neutrosophic filter, neutrosophic normal filter, antigrouped neutrosophic filter, and neutrosophic p-filter in pseudo-BCI algebras are proposed, and their

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