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Journal articles on the topic 'Smarandache Theory'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Alpert, Sofiia. "THE NEW APPROACH TO APPLYING THE DEZERT-SMARANDACHE THEORY IN LAND-COVER CLASSIFICATION IN UAV-BASED REMOTE SENSING." Management of Development of Complex Systems, no. 49 (April 11, 2022): 33–39. http://dx.doi.org/10.32347/2412-9933.2022.49.33-39.

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Nowadays UAV-based Remote Sensing gives a new opportunities for conducting scientific research in a much more detail way. Classification is one of the most important procedures in Remote Sensing tasks. This procedure can be applied in solution of numerous ecological and practical tasks, such as: forest classification, determing of soil types, exploring of oil and gas. Classification of incomplete, imprecise and high conflicting data has always been and still remains the one of most important procedures of remote sensing. In this paper the new approach to applying Dezert-Smarandache Theory in U

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2

Hila, Kostaq, and Bijan Davvaz. "An introduction to the theory of algebraic multi-hyperring spaces." Analele Universitatii "Ovidius" Constanta - Seria Matematica 22, no. 3 (2014): 59–72. http://dx.doi.org/10.2478/auom-2014-0050.

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Abstract A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. In this paper, applying the Smarandaches notion and combining this with hyperrings in hyperring theory, we introduce the notion of multi-hyperring space and initiate a study of multi-hyperring theory. Some characterizations and properties of multi-hyperring spaces are investigated and obtained. Some open problems are suggested for further study

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3

Lifang, Hu, Guan Xin, and He You. "Efficient combination rule of Dezert-Smarandache theory." Journal of Systems Engineering and Electronics 19, no. 6 (2008): 1139–44. http://dx.doi.org/10.1016/s1004-4132(08)60210-8.

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4

Ghalem, Kamel Ghanem, and Fatiha Hendel. "Dual iris authentication system using dezert smarandache theory." International Journal of Electrical and Computer Engineering (IJECE) 9, no. 6 (2019): 4703. http://dx.doi.org/10.11591/ijece.v9i6.pp4703-4712.

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In this paper, a dual iris authentication using Dezert Smarandache theory is presented. The proposed method consists of three main steps: In the first one, the iris images are segmented in order to extract only half iris disc that contains relevant information and is less affected by noise. For that, a Hough transform is used. The segmented images are normalized by Daugman rubber sheet model. In the second step, the normalized images are analyzed by a bench of two 1D Log-Gabor filters to extract the texture characteristics. The encoding is realized with a phase of quantization developed by J.

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5

Li, Xinde, Xuejian Wu, Jiaming Sun, and Zhengda Meng. "An approximate reasoning method in Dezert-Smarandache Theory." Journal of Electronics (China) 26, no. 6 (2009): 738–45. http://dx.doi.org/10.1007/s11767-009-0084-5.

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6

Kamel, Ghanem Ghalem, and Hendel Fatiha. "Dual iris authentication system using dezert smarandache theory." International Journal of Electrical and Computer Engineering (IJECE) 9, no. 6 (2019): 4703–12. https://doi.org/10.11591/ijece.v9i6.pp4703-4712.

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In this paper, a dual iris authentication using Dezert Smarandache theory is presented. The proposed method consists of three main steps: In the first one, the iris images are segmented in order to extract only half iris disc that contains relevant information and is less affected by noise. For that, a Hough transform is used. The segmented images are normalized by Daugman rubber sheet model. In the second step, the normalized images are analyzed by a bench of two 1D Log-Gabor filters to extract the texture characteristics. The encoding is realized with a phase of quantization developed by J.

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7

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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8

Chen, Bin. "An Equation Involving the Smarandache Function." Applied Mechanics and Materials 204-208 (October 2012): 4785–88. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.4785.

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For any Positive Integer N, LetΦ(n)andS(n)Denote the Euler Function and the Smarandache Function of the Integer N.In this Paper, we Use the Elementary Number Theory Methods to Get the Solutions of the Equation Φ(n)=S(nk) if the K=9, and Give its All Positive Integer Solutions.

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9

Ahadpanah, A., and A. Borumand Saeid. "Smarandache hyper BCC-algebra." Computers & Mathematics with Applications 61, no. 9 (2011): 2490–97. http://dx.doi.org/10.1016/j.camwa.2011.02.031.

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10

Gao, Jian, Xinhan Huang, Min Wang, and Xinde Li. "Neutrosophic Combination Rules Based on Dempster-Shafer Theory and Dezert-Smarandache Theory." Information Technology Journal 7, no. 7 (2008): 1023–29. http://dx.doi.org/10.3923/itj.2008.1023.1029.

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11

Li, Xiumei, and Min Sha. "Polynomial analogue of the Smarandache function." Journal of Number Theory 217 (December 2020): 320–39. http://dx.doi.org/10.1016/j.jnt.2020.05.015.

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12

Smarandache, F. "Smarandache Sociological Theory." August 2, 1999. https://doi.org/10.5281/zenodo.9671.

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13

Gbolahan, Temitope. "Smarandache isotopy theory of Smarandache: quasigroups and loops." May 12, 2008. https://doi.org/10.5281/zenodo.9652.

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The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoids, quasigroups and loops just like the study of isotopy theory was carried out for groupoids, quasigroups and loops. The exploration includes: Smarandache; isotopy and isomorphy classes, Smarandache f; g principal isotopes and G-Smarandache loops.

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14

Temitope, Gbolahan Jaiyeola. "Smarandache Isotopy Theory Of Smarandache: Quasigroups And Loops." June 5, 2008. https://doi.org/10.5281/zenodo.32337.

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The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoids, quasigroups and loops just like the study of isotopy theory was carried out for groupoids, quasigroups and loops. The exploration includes: Smarandache; isotopy and isomorphy classes, Smarandache <em>f, g </em>principal isotopes and G-Smarandache loops.

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15

Linfan, Mao. "Smarandache Multi Space Theory(II)." April 22, 2006. https://doi.org/10.5281/zenodo.32339.

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Discusses Smarandache geometries, including those of map geometries, planar map geometries and pseudo-plane geometries, in which the Finsler geometry, particularly the Riemann geometry appears as a special case of these Smarandache geometries.

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16

Motta, Leonardo. "Smarandache-Rodrigues-Maiorino (SRM) Theory." May 1, 2004. https://doi.org/10.5281/zenodo.9599.

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Studying solutions of Maxwell and Dirac-Weyl equations, Waldyr Rodrigues Jr. and Jose Maiorino were able to propose a full-unified theory for constructing of arbitrary speeds in nature. So that Smarandache Hypothesis proposed in 1972, that there is no speed barrier in the universe, can be promoted to theory, as Smarandache-Rodrigues-Maiorino theory.

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17

Linfan, Mao. "Smarandache Multi Space Theory(III)." April 22, 2006. https://doi.org/10.5281/zenodo.32340.

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18

Linfan, Mao. "Smarandache Multi-Space Theory(I)." April 22, 2006. https://doi.org/10.5281/zenodo.32338.

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Multi-space models for <em>p</em>-branes and cosmos are constructed and some questions in cosmology are clarified by multi-spaces. The first two parts are relative independence for reading and in each part open problems are included for further research of interested readers.

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19

Linfan, Mao. "Smarandache Mult Space Theory(IV)." April 22, 2006. https://doi.org/10.5281/zenodo.32341.

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20

David, Gorski. "THE PSEUDO-SMARANDACHE FUNCTION." August 30, 2007. https://doi.org/10.5281/zenodo.854322.

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The Pseudo-Smarandache Function is part of number theory. The function comes from the Smarandache Function. The Pseudo-Smarandache Function is represented by Z(n) where n represents any natural number.

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21

Gorski, David. "THE PSEUDO-SMARANDACHE FUNCTION." November 12, 2001. https://doi.org/10.5281/zenodo.9535.

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The Pseudo-Smarandache Function is part of number theory. The function comes from the Smarandache Function. The Pseudo-Smarandache Function is represented by Z(n) where n represents any natural number.

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22

Ibstedt, H. "Smarandache Continued Fractions." April 10, 2001. https://doi.org/10.5281/zenodo.9588.

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The theory of general continued fractions is developed to the extent required in order to calculate Smarandache continued fractions to a given number of decimal places. Proof is given for the fact that Smarandache general continued fractions built with positive integer Smarandache sequences baving only a finite number of terms equal to 1 is convergent. A few numerical results are given.

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23

Selariu, Mircea Eugen. "Smarandache stepped functions." April 30, 2007. https://doi.org/10.5281/zenodo.9220.

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The discovery of mathematical complements, assembled under the name of the eccentric mathematics, gave the opportunity for a series of applications, amongst which, in this article, are presented the impulse, step, and unitary ramp functions. The di erence, in comparison with the same classic functions, from the distributions theory, is that those eccentric are periodical with a 2 period. By combining these between them, new mathematicalfunctions have been de ned; united under the name Smarandache stepped functions./p>

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24

Bencze, M. "SMARANDACHE RELATIONSHIPS AND SUBSEQUENCES." May 1, 2014. https://doi.org/10.5281/zenodo.9210.

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Some Smarandache relationships between the terms of a given sequenceare studied in the fIrst paragraph. In the second paragraph, are studied Smarandache subsequences (whose terms have the same property as the initial sequence). In the third paragraph are studied the Smarandache magic squares and cubes of order n and some conjectures in number theory.

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25

Linfan, Mao. "Geometrical Theory on Combinatorial Manifolds." December 26, 2006. https://doi.org/10.5281/zenodo.32312.

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Euler-Poincare characteristic is discussed and geometrical inclusions in Smarandache geometries for various geometries are also presented by the geometrical theory on finitely combinatorial manifolds in this paper.

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26

Joanna, Głowacka, and Amanowicz Marek. "Application of Dezert-Smarandache Theory for Tactical MANET Security Enhancement." November 5, 2014. https://doi.org/10.5281/zenodo.34768.

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The article presents a concept of Dezert-Smarandache theory application for enhancing security in tactical mobile ad-hoc network. Tactical MANET, due to its specification, requires collection and processing of information from different sources of diverse security and trust metrics. The authors specify the needs for building a node’s situational awareness and identify data sources used for calculations of trust metrics. They provide some examples of related works and present their own conception of Dezert-Smarandache theory applicability for trust evaluation in mobile hostile environment

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27

Ashbacher, Charles. "The Pseudo-Smarandache Function and the Classical Functions of Number Theory." March 20, 2000. https://doi.org/10.5281/zenodo.9532.

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28

Mao, Linfan. "On Algebraic Multi-Ring Spaces." April 23, 2006. https://doi.org/10.5281/zenodo.9331.

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A Smarandache multi-space is a union of n spaces  with some additional conditions hold. Combining these Smarandache multi-spaces with rings in classical ring theory, the conception of multi-ring spaces is introduced and some characteristics of multi-ring spaces are obtained in this paper.

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29

Ibstedt, H. "The Smarandache Sequence Inventory." July 14, 1997. https://doi.org/10.5281/zenodo.9620.

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A large number of sequences which originate from F. Smarandache or are of similar nature appear scattered in various notes and papers. This is an attempt bring this together and make some notes on the state of the art of work done on these sequences. The inventory is most certainly not exhaustive. The sequences have been identified in the following sources where Doc. No. refers the list of Smarandache Documents compiled by the author. Nearly all of the sequences listed below are also found in Doc. No.7: Some Notions and Questions in Number Theory, C. Dumitrescu an

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30

Andrei, M., V. Seleacu, C. Dumitrescu, St. Zanfir, and L. Tutescu. "SOME REMARKS ON THE SMARANDACHE FUNCTION." May 1, 1995. https://doi.org/10.5281/zenodo.9457.

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31

Jin, Wang, and Sun Huaijiang. "Inverse Problem in DSmT and Its Applications in Trust Management." December 5, 2015. https://doi.org/10.5281/zenodo.34836.

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DSmT (Dezert-Smarandache Theory) is actually a natural extension of DST (Dempster-Shafer Evidence Theory) and Bayes Probability Theory, which can handle both uncertainty and contradiction efficiently.

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32

Boumediene, Mohammed, Hossni Zebiri, and Jean Dezert. "Evidential data association based on Dezert–Smarandache Theory." International Journal of Intelligent Robotics and Applications, July 3, 2022. http://dx.doi.org/10.1007/s41315-022-00246-y.

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33

Meena, Preeti, and Malti Bansal. "Dezert- Smarandache Theory based Classification of EMG Signals." June 14, 2016. https://doi.org/10.5281/zenodo.235625.

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This research paper proposes an intellectual method for the classification of different types of Electromyography (EMG) signals like normal, myopathy and neuropathy signals. Inside the human body, contraction of muscles and nerves occur at every second.

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34

Ashbacher, Charles. "On Iterations That Alternate the Pseudo-Smarandache and Classic Functions of Number Theory." November 3, 2001. https://doi.org/10.5281/zenodo.9248.

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35

Linfan, Mao. "On Algebraic Multi-Ring Spaces." October 22, 2005. https://doi.org/10.5281/zenodo.32316.

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A Smarandache multi-space is a union of <em>n</em> spaces  A<sub>1</sub>, A<sub>2</sub>, · · · , An with some additional conditions holding. Combining Smarandache multispaces with rings in classical ring theory, the conception of multi-ring spaces is introduced. Some characteristics of a multi-ring space are obtained in this paper.

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36

Ekata, Gupta, and S.K.Saxena. "Using Application of Dezert- Smarandache Theory on a new framework for protecting MANET." April 2, 2015. https://doi.org/10.5281/zenodo.22872.

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The article presents a concept of Dezert-Smarandache theory application for enhancing security in tactical mobile ad- hoc network. Tactical MANET, due to its specification, requires collection and processing of information from different sources of diverse security and trust metrics. The authors specify the needs for building a node’s situational awareness and identify data sources used for calculations of trust metrics. They provide some examples of related works and present their own conception of Dezert-Smarandache theory applicability for trust evaluation in mobil

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37

Vassilev, Mladen V., Missana Atanassov, and Krassimir T. Atanassov. "Remarks on some of the Smarandache's problem. Part 2." October 5, 2005. https://doi.org/10.5281/zenodo.9561.

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In 1999, the second author of this remarks published a book over 30 of Smarandache's problems in area of elementary number theory (see [1, 2]). After this, we worked over new 20 problems that we collected in our book [28]. These books contain Smarandache's problems, described in [10, 16]. The present paper contains some of the results from [28].

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38

Hatip, Ahmed. "The Special Neutrosophic Functions." April 15, 2020. https://doi.org/10.5281/zenodo.3824880.

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[1] L. Zadeh, , Fuzzy sets, Inform and Control, 8, pp. 338-353, 1965. [2] K.Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, pp.87-96, 1986 [3] F.Liu, XH.Yuan, Fuzzy number intuitionistic fuzzy set, Fuzzy Syst. Math, 21(1),pp.88–91, 2007. [4] H.Wang, F.Smarandache, YQ. Zhang, R. Sunderraman, Single valued neutrosophic sets. Multispace Multi-struct 4, pp.410–413, 2010. [5] F. Smarandache, Neutrosophy. Neutrosophic Logic, Set , Probability and Statistics. American Research Press, Rehoboth, 1998. International Journal of Neutrosophic Science (IJNS) Vol. 4, No. 2, PP.

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39

Luca, Florian. "An inequality between prime powers dividing n!" November 22, 2002. https://doi.org/10.5281/zenodo.9166.

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40

Guo, Q., You He, Xin Guan, Deng Li, Lana Pan, and Tao Jian. "An evidence clustering DSmT approximate reasoning method based on convex functions analysis." October 6, 2015. https://doi.org/10.5281/zenodo.237210.

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41

Albena, Tchamova, Semerdjiev Tzvetan, and Dezert Jean. "Estimation of Target Behavior Tendencies using Dezert-Smarandache Theory." December 5, 2015. https://doi.org/10.5281/zenodo.34809.

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This paper presents an approach for target behavior tendency estimation (Receding, Approaching). It is developed on the principles of Dezert-Smarandache theory (DSmT) of plausible and paradoxical reasoning applied to conventional sonar amplitude measurements, which serve as an evidence for COT responding decision-making procedures.

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42

Gwenole, Quellec, Lamard Mathieu, Cazuguel Guy, Roux Christian, and Cochener Beatrice. "Multimodal medical case retrieval using the Dezert-Smarandache Theory." August 24, 2008. https://doi.org/10.5281/zenodo.34855.

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Most medical images are now digitized and stored with semantic information, leading to medical case databases. They may be used for aid to diagnosis, by retrieving similar cases to those in examination. But the information are often incomplete, uncertain and sometimes conflicting, so difficult to use.

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43

ZHAO, Xianzhang, Junfang ZENG, Yibo GAO, Rui GUO, and Yiping YANG. "MULTI-ULTRASONIC SENSOR FUSION BASED ON DEZERT-SMARANDACHE THEORY." December 6, 2007. https://doi.org/10.5281/zenodo.34862.

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It is well known that ultrasonic sensor is widely used in mobile robot to get range information with low cost, and the main bottle problem of using ultrasonic sensors to build an occupancy grid map is how to deal with the uncertainty in ultrasonic sensor data. In this paper, a new kind of Multiultrasonic sensor fusion method is presented.

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44

Qian, Guo, You He, Jian Tao, Haipeng Wang, and Shutao Xia. "An evidence clustering DSmT approximate reasoning for more than two sources." October 12, 2016. https://doi.org/10.5281/zenodo.234242.

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45

Mihaela-Gabriela, Păun, and Teodorescu Mirela. "Hermeneutics can make beauty and ugly as neutral (as neutrosophic)." November 3, 2014. https://doi.org/10.5281/zenodo.1041521.

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46

Mao, Linfan. "Labeling, Covering and Decomposing of Graphs — Smarandache’s Notion in Graph Theory." September 30, 2010. https://doi.org/10.5281/zenodo.9258.

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This paper surveys the applications of Smarandache’s notion to graph theory appeared in International J.Math.Combin. from Vol.1,2008 to Vol.3,2009. In fact, many problems discussed in these papers are generalized in this paper.

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47

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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48

Reddy, P.Siva Kota. "Smarandache Directionally n-Signed Graphs — A Survey." October 24, 2013. https://doi.org/10.5281/zenodo.9644.

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For graph theory terminology and notation in this paper we follow the book [3]. All graphs considered here are finite and simple. There are two ways of labeling the edges of a graph by an ordered n-tuple (a1, a2, · · · , an)

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49

Jian, Gao, Liang Weitai, and Yan Jingjing. "Fusion of Qualitative Beliefs Based on Linguistic Labels." October 5, 2010. https://doi.org/10.5281/zenodo.34818.

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50

Xinhan, Huang, Li Xinde, Wu Zuyu, and Wang Min. "Mobile Robot's Map Reconstruction Based on DSmT and Fast-Hough Self-Localization." July 11, 2007. https://doi.org/10.5281/zenodo.34850.

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