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Relevant bibliographies by topics / Smarandache lattices

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Journal articles

Academic literature on the topic 'Smarandache lattices'

Author: Grafiati

Published: 3 June 2025

Last updated: 6 July 2025

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Journal articles on the topic "Smarandache lattices"

1

N.Kannappa and K.Suresh. "Smarandache Lattice and Pseudo Complement." November 30, 2014. https://doi.org/10.5281/zenodo.826669.

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In this paper, we introduce Smarandache - 2-algebraic structure of lattice S, namely <em>Smarandache lattices</em>. A Smarandache 2-algebraic structure on a set N means aweak algebraic structure A<sub>0</sub> on N such that there exists a proper subset M of N which is embedded with a stronger algebraic structure A<sub>1</sub>, where a stronger algebraic structure means such a structure which satisfies more axioms, by proper subset one can understands a subset different from the empty set, by the unit element if any, and from the whole set. We obtain some of its characterization through pseudo complemented.

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2

SOMAYEH, MOTAMED, and SADEGHI KOSARKHIZI MAHSA. "n-FOLD FILTERS IN SMARANDACHE RESIDUATED LATTICES, PART (II)." September 28, 2016. https://doi.org/10.5281/zenodo.236138.

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In this paper we introduce the notions of n-fold BL-Smarandache n-fold BL-Smarandache fantastic filter and n-fold BL-Smarandache easy filter in Smarandache residuated lattices and study the relations among them. And we also introduce the notions of n-fold Smarandache n-fold Smarandache fantastic BL-residuated lattice and n-fold Smarandache easy BL-residuated lattice and investigate its properties.

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3

Talukdar, Dwiraj. "Lattices of Smarandache Groupoid." April 21, 2006. https://doi.org/10.5281/zenodo.9259.

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Smarandache groupoid is not partly ordered under Smarandache inclusion relation but it contains some partly ordered sets, which are lattices under Smarandache union and intersection. We propose to establish the complemented and distributive lattices of Smarandache groupoid. Some properties of these lattices are discussed here.

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4

N., Kannappa, and Suresh K. "Smarandache-lattice and algorithms." November 7, 2014. https://doi.org/10.5281/zenodo.34899.

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5

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 lattice,pseudocomplment lattice, arbitrary lattice and congruence and ideal lattice . For basic concept of near-ring we refer to Padilla Raul [21] and for Smarandache algebraic structure we refer to Florentin Smarandache [8].

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6

Roman, Ilin, and Zhang Jun. "Information Fusion with Topological Event Spaces." July 6, 2015. https://doi.org/10.5281/zenodo.23214.

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We develop a novel information fusion scheme based on topological event space, viewed as a distributive lattice. We discuss the advantages of topological modeling and compare our approach to the existing Bayesian, Dempster-Shafer, and Dezert-Smarandache approaches. The proposed scheme is described in detail and illustrated with an example of fusion of three sensors in the presence of missing information.

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7

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 characterization through Pseudo complemented .For the basic concept, we referred the Padila Raul.

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8

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

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Abstract:

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 characterization through Pseudo complemented .For the basic concept, we referred the PadilaRaul.

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9

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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