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Journal of Mathematical and Fundamental Sciences Vol. 50 Issue 2 2018

Vol. 50 No. 2 (2018)

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Explore peer-reviewed research articles published in this issue.

researchpp. 103–120

Some New Operations of (α,β,γ) Interval Cut Set of Interval Valued Neutrosophic Sets

In this paper, we define the disjunctive sum, difference and Cartesian product of two interval valued neutrosophic sets and study their basic properties. The notions of the (α,β,γ) interval cut set of interval valued neutrosophic sets and the (α,β,γ) strong interval cut set of interval valued neutrosophic sets are put forward. Some related properties have been established with proof, examples and counter examples.

Keywords
(α β γ) interval cut set of interval valued neutrosophic sets cut set disjunctive sum interval valued neutrosophic sets neutrosophic set
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researchpp. 121–141

Decision Tree-Based Classification Model for Identification of Effective Leadership Indicators

This study was aimed at identifying effective leadership abilities as appreciated by soldiers in the Lithuanian armed forces. Leader behavior was measured using an adapted version of the Leader Behavior Description Questionnaire (LBDQ), which was originally developed by Andrew W. Halpin from Ohio State University. Data were collected from soldiers holding different ranks and doing professional military service in all units of the Lithuanian armed forces and were analyzed using the IBM SPSS version 20 software application. For our data analysis, the Chi-square Automatic Interaction Detector…

Keywords
CHAID growing method decision tree model leadership leadership style leader behavior
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researchpp. 142–147

Generalization of Slightly Compressible Modules

In this paper, we give a generalization of slightly compressible modules. We introduce the notion of M-slightly compressible modules, i.e. a right R module N is called M-slightly compressible if for every nonzero submodule A of N there exists a nonzero R-homomorphism s from M to N such that. Many examples of M-slightly compressible modules are provided. Some results on M-slightly compressible modules are obtained, which are interesting and important.

Keywords
compressible modules M-sightly compressible modules slightly compressible modules
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researchpp. 148–165

Enhancing the Stability of Lanczos-type Algorithms by Embedding Interpolation and Extrapolation for the Solution of Systems of Linear Equations

A new method to treat the inherent instability of Lanczos-type algorithms is introduced. It enables us to capture the properties of the sequence of iterates generated by a Lanczos-type algorithm by interpolating on this sequence of points. The interpolation model found is then used to generate a point that is outside the range. It is expected that this new point will link up the rest of the sequence of points generated by the Lanczos-type algorithm if breakdown does not occur. However, because we assume that the interpolation model captures the properties of the Lanczos sequence, the new…

Keywords
breakdown extrapolation EIEM A13/B6 EIEM A13/B13 interpolation Lanczos-type algorithms patterns
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researchpp. 166–181

Study on Estimates of Travel Distance, Velocity and Potential Volume of Amahusu Sliding Plane using Energy Conservation Approach in Conjunction with Geoelectric Survey

The investigation of landslides applying various methods has been receiving increased attention in recent years. This study was aimed at assessing the estimated distribution of landslide movement using an energy conservation formula in a lumped mass model to obtain velocity and travel distance estimations, in combination with an inverted resistivity model for estimating the Amahusu landslide volume. The research location was in the Amahusu hills of the Nusaniwe subdistrict, Ambon, Indonesia. A survey was carried out using GPS and a geoelectric resistivity method with the Wenner-Schlumberger…

Keywords
conservation of energy landslide resistivity inversion travel distance velocity estimation
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researchpp. 182–191

Study on Transport Properties of Chitosan Membrane in Different Types of Electrolytes

In this study, the electrical properties of chitosan membrane in different types of electrolytes were investigated by analyzing the current-voltage (I"‘V) curve. The membrane used was chitosan membrane 2%. The different electrolyte solutions used were KCl, HCl, MgCl2, CaCl2 and AlCl3 at concentrations of 0.025 M. The I-V experiments were done using a two-compartment cell, which contained two working electrodes made of platinum connected to a DC current source and two Ag/AgCl reference electrodes connected to a voltmeter. All experiments were conducted at an ambient temperature of 28.7 °C.…

Keywords
Chitosan membrane current-voltage (I-V) curve electrolyte solution hydrophilicity
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researchpp. 192–202

Flavonoid Compounds from the Herb of Krokot (Lygodium microphyllum) and their antioxidant activity against DPPH

Six flavonoid compounds, kaempferol (1), quercetin (2), acacetin (3), quercetin-3-O-β-D-glucopyranoside (4), kaempferol-3-O-β-D-glucopyranoside (5), and isorhamnetin-3-O-β-D-glucopyranoside (6), were isolated from the methanol extract of the Lygodium microphyllum herb. The chemical structures of compounds 1-6 were identified on the basis of spectroscopic evidence and comparison with previously reported spectral data. Compounds 1-6 were isolated for first time from this plant. Their antioxidant activity against DPPH (2,2-Diphenyl-1-picrylhydrazyl) was evaluated. Among the compounds,…

Keywords
Antioxidant DPPH flavonoids Lygodium microphyllum Lygodiaceae
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