JOURNAL OF ADVANCES IN MATHEMATICS
http://cirworld.com/index.php/jam
JAM is scientific, open access, scholarly, peer-reviewed, fully referred international journal with DOI, ISSN, ICV and IF.CIRWORLDen-USJOURNAL OF ADVANCES IN MATHEMATICS2347-1921<p><a href="https://cirworld.com/cir/copyright-notice/" target="_blank">Copyright Notice</a></p> TOPSIS Approach for Solving Bi-Level Non-Linear Fractional MODM Problems
http://cirworld.com/index.php/jam/article/view/6243
<p>TOPSIS (technique for order preference similarity to ideal solution) is considered one of the known classical multiple criteria decision making (MCDM) methods to solve bi-level non-linear fractional multi-objective decision making (BL-NFMODM) problems, and in which the objective function at each level is considered nonlinear and maximization type fractional functions. The proposed approach presents the basic terminology of TOPSIS approach and the construction of membership function for the upper level decision variable vectors, the membership functions of the distance functions from the positive ideal solution (PIS) and of the distance functions from the negative ideal solution (NIS). Thereafter a fuzzy goal programming model is adopted to obtain compromise optimal solution of BL-NFMODM problems. The proposed approach avoids the decision deadlock situations in decision making process and possibility of rejecting the solution again and again by lower level decision makers. The presented TOPSIS technique for BL-NFMODM problems is a new fuzzy extension form of TOPSIS approach suggested by Baky and Abo-Sinna (2013) (Applied Mathematical Modelling, 37, 1004-1015, 2013) which dealt with bi -level multi-objective decision making (BL-MODM) problems. Also, an algorithm is presented of the new fuzzy TOPSIS approach for solving BL-NFMODM problems. Finally, an illustrative numerical example is given to demonstrate the approach.</p>MAHMOUD A ABO-SINNAAZZA H AMER, DR
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2017-10-092017-10-091347353735710.24297/jam.v13i4.6243 Comparative Linear Classification Splicing
http://cirworld.com/index.php/jam/article/view/6258
<p>The conventional Fisher linear classification analysis has been investigated by numerous researchers and this has led to different modification or splicing due to non- robustness when the assumptions are violated and also when the data set contains influential observations. This paper adduced a winsorized procedure to robustify the probability base classification approach. The comparative classification performance of the Fisher linear classification analysis and its spliced versions when the data set are contaminated are investigated. The simulation results revealed that the robust Fisher’s approach based on the minimum covariance determinant estimates outperformed the other procedures; a good competitor to this technique is the winsorized probability base classification technique. Though, the robust Fisher’s technique using the minimum covariance determinant estimates breakdown for mixture contamination. On a general note, the conventional Fisher’s approach and the probability base technique performed comparable.</p>Fred zin
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2017-08-032017-08-031347280728510.24297/jam.v13i4.6258 Totally Contact Umbilical Radical Transversal Lightlike Submanifolds Of An Almost Contact Manifold With B-Metric
http://cirworld.com/index.php/jam/article/view/6234
<p>In the present paper, we study the geometry of totally contact umbilical radical transversal lightlike submanifolds and totally contact umbilical CR- submanifold of an indenite Sasaki-like almost contact manifold with B-metric. We nd the necessary and sucient condition for the characterization of the induced connection to be a metric connection. Finally, we have proved that for a totally contact umbilical CR-submanifold, totally contact umbilical radical transversal lightlike submanifold is a totally geodesic radical transversal lightlike submanifold.</p>Anu DevganR. K. Nagaich
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2017-08-032017-08-031347286729410.24297/jam.v13i4.6234 On the ωb-compactspace
http://cirworld.com/index.php/jam/article/view/6213
<p>The.main.aim of our.paper is introduced.new.concept ofcompactspaceis.called.ωb-compact.Space,for this aim,the.concept of.b-compact space and.ω-compact space.introduced. and.find that everyis.relationships among.compact, b-compact,.ω-compact spaces..and the.converse is not not true.in generals.and.we define.nearly <strong>-</strong>compact.space.and we prove.some.results about.subject.</p>Hassan. A.AlshamsZain AL-abdeen Abbas Nasser
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2017-08-032017-08-031347295730110.24297/jam.v13i4.6213 Oscillatory Behavior of Second Order Neutral Dierence Equations with Mixed Neutral Term
http://cirworld.com/index.php/jam/article/view/6231
<p>In this paper, we study the oscillatory behavior of solution of second order neutral dierence equation with mixed neutral term of the form<br>(an(zn)) + qnx(n) = 0; n 2 N0; where zn = xn + bnxnl + cnxn+k and 1P<br>s=n0<br>1<br>as<br>= 1. We obtain some new oscilla-tion criteria for second order neutral dierence equation. Examples are presented to illustrate the main results.</p>M AngayarkanniS Kavitha
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2017-08-032017-08-031347302730710.24297/jam.v13i4.6231 The Angle Trisection Solution (A Compass-Straightedge (Ruler) Construction)
http://cirworld.com/index.php/jam/article/view/6175
<p>This paper is devoted to exposition of a provable classical solution for the ancient Greek’s classical geometric problem of angle trisection [3]. (Pierre Laurent Wantzel, 1837),presented an algebraic proof based on ideas from Galois field showing that, the angle trisection solution correspond to an implicit solution of the cubic equation; , which he stated as geometrically irreducible [23]. The primary objective of this novel work is to show the possibility to solve the trisection of an arbitrary angle using the traditional Greek’s tools of geometry, and refutethe presented proof of angle trisection impossibility statement. The exposedproof of the solution is theorem , which is based on the classical rules of Euclidean geometry, contrary to the Archimedes proposition of usinga marked straightedge construction [4], [11].</p>Kimuya M Alex
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2017-09-042017-09-041347308733210.24297/jam.v13i4.6175 Full-Discrete Weak Galerkin Finite Element Method for Solving Diffusion-Convection Problem.
http://cirworld.com/index.php/jam/article/view/6312
<p>This paper applied and analyzes full discrete weak Galerkin (WG) finite element method for non steady two dimensional convection-diffusion problem on conforming polygon. We approximate the time derivative by backward finite difference method and the elliptic form by WG finite element method. The main idea of WG finite element methods is the use of weak functions and their corresponding discrete weak derivatives in standard weak form of the model problem. The theoretical evidence proved that the error estimate in norm, the properties of the bilinear form, (v-elliptic and continuity), stability, and the energy conservation law.</p>Asmaa Hamdan
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2017-10-062017-10-061347733734510.24297/jam.v13i4.6312 New Oscillation Criteria for Second Order Neutral Type Dierence Equations
http://cirworld.com/index.php/jam/article/view/6290
<p>In this paper, we present some new oscillation criteria for second order neutral type dierence equation of the form (an(zn)) + qnf(xn) = en; n n0 > 0; where zn = xn pnxnl and is ratio of odd positive integers. Examples are provided to illustrate the results.</p>M Angayarkanni
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2017-10-092017-10-091347346735310.24297/jam.v13i4.6290 The Non-homogeneous Groshev Convergence theorem for Diophantine Approximation on Manifolds
http://cirworld.com/index.php/jam/article/view/6322
<p>This paper is based on Khintchine theorem, Groshev theorem and measure and dimension theorems for non-degenerate manifolds. The inhomogeneous Diophantine approximation of Groshev type on manifolds is studied. Major work is to discuss the inhomogeneous convergent theory of Diophantine approximation restricted to non-degenerate manifold in, based on the proof of Barker-Sprindzuk conjecture, the homogeneous theory of Diophantine approximation and inhomogeneous Groshev type theory for Diophantine approximation, by the decomposition of the set in manifold, with the aid of Borel Cantell lemma and transformation of lemma and its properties and the main inhomogeneous conversion principle, we know these two types of set in sense of Lebesgue measure is zero provided that the convergent sum condition is satisfied, from which several conclusions about the inhomogeneous convergent theory of Diophantine approximation is obtained. The main result is that Lebesgue measure is inhomogeneous strongly extremal. At last we use the fact that friendly measure is strongly contracting measure to develop an inhomogeneous strong extreme measure which is restricted to matrices with dependent quantities.</p>Faiza Akram
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2017-10-172017-10-171347354737110.24297/jam.v13i4.6322