iosr-Jm   Volume-10 ~ Issue-6 ~ Nov-Dec 2014

Abstract: In this paper, we study the notions of fuzzy soft semi continuous mapping and we introduce the
concept of fuzzy soft semi continuous mapping along with some examples and theorems..
Keywords: Fuzzy soft set, Fuzzy soft topological space, Fuzzy soft mapping, Fuzzy soft identity mapping, Fuzzy
soft semi continuous mapping.

[1] Ahmad B. and Kharal A, "On Fuzzy Soft Sets ", Advances in Fuzzy Systems,Volume 2009,Article ID 586507,pp.1-6.
[2] Banashree Bora, "On Fuzzy Soft Continuous Mapping ",International Journal for Basic Sciences and Social
Sciences (IJBSS) ISSN:2319-2968,Vol.1,Issue 2, August-2012 pp.50-64.
[3] Maji P.K. and Roy A.R., " Soft Set Theory ",Computers and Mathematics with Applications 45, 2003,pp. 555-562.
[4] Maji P.K., Biswas R. and Roy A.R., " Fuzzy Soft Sets ", Journal of Fuzzy Mathematics, Vol 9,no.3.pp. 2001,589-602,
[5] Molodstov, D.A., " Soft Set Theory - First Result ", Computers and Mathematics with Applications, Vol. 37,pp. 19 -
31,1999.

Abstract: The Cayley Hamilton theorem for an arbitrary matrix A is generalized to a polynomial matrix. It is
proved that if h( ) = det[f( )g( )] then h(A) = 0 iff det f(A) = 0 or det g(A) = 0.
Keywords: Polynomial matrix, Hermitian, Skew Hermitian, Symmetric and Skew symmetric polynomial
matrices.

[1] Raj Kumar Kanwar, " A Generalization of the Cayley-Hamilton Theorem," Advances in PureMathematics, 2013, 3, 109-115
Published Online January 2013 (http://www.scirp.org/journal/apm).
[2] M. Buslowicz and T. Kaczorek, "Reachability and Mini-mum Energy Control of Positive Linear Discrete-Time Systems with One
Delay," Proceedings of 12th Mediter-ranean Conference on Control and Automation, Kasadesi- Izmur, CD ROM, 2004.
[3] B. G. Mcrtizios and M. A. Christodolous, "On the Gener-alized Cayley-Hamilton Theorem," IEEE Transactions on Automatic
Control, Vol. 31, No. 1, 1986, pp. 156-157.
[4] T. Kaczorek, "Generalization of the Cayley-Hamilton Theo-rem for Non-Square Matrices," International Conference of
Fundamentals of Electronics and Circuit Theory XVIII- SPETO, Gliwice, 1995, pp. 77-83.
[5] T. Kaczorek, "Extension of the Cayley-Hamilton Theo-rem for Continuous-Time Systems with Delays," Interna-tional Journal of
Applied Mathematics and Computer Sci-ence, Vol. 15, No. 2, 2005, pp. 231-234.

Abstract: In this paper we consider the three forms of self-duality that can be exhibited by a planar graph G, map self-duality, graph self-duality, matroid self-duality. We show how these concepts are related with each other and with the connectivity of G. Also we go to characterize partial duality of graphs in terms of bijection between edge sets of corresponding graphs. This result generalizes a well known result of J.Edmonds in which natural duality of graphs is characterized in terms of edge correspondence, and gives combinatorial
characterization of partial duality.

[1] Brigitte Servatius and Herman Servatius Self-Dual Graphs, Discrete Math., 1996.
[2] Iain Moffatt, A Characterization of Partially Dual Graphs, Google.
[3] J. Edmonds, On the Surface Duality of linear graphs, J. Res.Nat.Bur.Standards sect. B 69B (1965) 121-123
[4] H.Whitney, Non-separable and Planar Graphs
[5] W.T.Tutte, Connectivity in Graphs (Univ. Toronto press, Toronto, 1966).

Abstract: In this paper, we introduce the concept S-monoform modules as a generalization of monoform modules. We study this class of modules, also we give several properties of these module and other related modules.
Key Words: Monoform module, small monoform module, S-monoform module, small submodule, small prime module, uniform module, S-uniform module, quasi-Dedekind module, hollow module.

[1]. M.S.Abbas, "On Fully Stable Modules", Ph.D. Thesis, University of Baghdad, (1990).
[2]. E.W.Anderson and K.R.Fuller, "Rings and Categories of Modules", Springer-Verlage, New York, (1992).
[3]. N.V.Dung, D.V.Huynh, P.F.Smith and R.Wisbauer, "Extending Modules", John Wily and Sons, Inc. New York, (1994).
[4]. P.Fleury, "Hollow Modules and Local Endomorphism Rings", Pac.J. Math., Vol. 53, No.2 (1974), p.379-385.
[5]. T.Y.Ghaw, "Some Generalizations of Quasi-Dedekind Modules", M.Sc. Thesis, University of Baghdad, Iraq, (2010).
[6]. K.R.Goodearl, "Ring Theory, Nonsingular Rings and Modules ", Marcel Dekker, Inc. New York and Basel, (1976).

Abstract: This study investigates some optimal designs in the third degree Kronecker model mixture experiments for non-maximal subsystem of parameters, where Kiefer's functions serve as optimality criteria. Based on the completeness result, the considerations are restricted to weighted centroid designs. First, the coefficient matrix and the associated parameter subsystem of interest using the unit vectors and a characterization of the feasible weighted centroid design for a maximal parameter subsystem is obtained. Once the coefficient matrix is obtained, the information matrices associated with the parameter subsystem of interest are generated for the corresponding factors. We apply the optimality criteria to evaluate the designs.

[1]. Cheng, C. S."Complete class results for the moment matrices of designs over permutation-invariant sets."Annals of
statistics,(1995): 23, 41-54.
[2]. Cornell, J. A. Designing experiments with mixtures. Willy: New York, 1990.
[3]. Draper, N. R., Pukelsheim, F. "Mixture models based on homogeneous polynomials."Journal of statistical planning and
inference,(1998):71, 303-311.
[4]. Draper, N. R., Pukelsheim, F."Kiefer ordering of simplex designs for first- and second-degree mixture models"Journal of statistical
planning and inference, (1999): 79, 325-348.
[5]. Draper, N. R., Heiligers, B., Pukelsheim, F.,"Kiefer ordering of simplex designs for mixture models with four or more
ingredients"Annals of statistics, (2000): 28, 578-590

Abstract: Acceptance sampling procedures are the practical tools for quality assurance applications involving product control. Acceptance sampling systems are advocated when small sample size are necessary or desirable towards costlier testing for product quality. Dodge – Romig plans can be single or double plans. There are two sets of plans. One is based on satisfying a given limiting quality level (LQL) based on a consumers risk β, the target value of which is 0.10 (Dodge and Romig, 1959). The other based on meeting a certain value of the average outgoing limit. For both sets of plans, the objective is to minimize the average total inspection

[1] Burguess AR (1948). A graphical method for determining Single Sampling Plan. Industrial Quality Control. pp.25 - 27.
[2] Cameron JM (1952).Tables for constructing and computing the Operating Characteristics of Single Sampling Plans. Industrial
Quality Control. Vol.11, pp.37 - 39.
[3] Dodge, Harold F.,and Harry G.Romig. Sampling Inspection Tables: Single and Double Sampling. New York: John Wiley & Sons,
Inc., 1959.
[4] Golub Abraham (1953). Designing Single Sampling Inspection Plan when the sample size is fixed. Journal of the American
Statistician Association. Vol.48, pp.278 - 288.
[5] Grubs FE (1949).On designing Single Sampling inspection plan Annals of Mathematical Statistics. Vol. 20, pp. 42 – 256.
[6] Guenther WC (1969). Use of the Binomial, Hyper geometric and Poisson tables to obtain Sampling Plans. Journal of Quality
Technology. 1(2), pp. 105 - 109.

Abstract: This paper presents approximate solutions for system of linear and nonlinear fractional order differential equations using the variational iteration method. The fractional derivatives are described in the Caputo sense, because it allows traditional initial and boundary conditions to be included in the formulation of the problem. The solutions of our models equations are calculated in the form of convergent series with easily computable components. Also, we prove the variational iteration formula and its convergence to the exact solution for solving system of fractional order differential equations. Some examples are solved as an illustration to the method, in order to show the accuracy of the method an comparison with results obtained by differential transform method and Adomian decomposition method given in author literatures .

[1]. H. Mariam, Wadea, Variational Iteration Method for Solving Fractional Order Integro-Differential Equations, Msc thesis Al-Mustansirya University College of Education, 2012.
[2]. S. Elham, J. Hossein, A. Merich, Revised Variational Iteration Method for Solving System of Ordinary Differential Equations, an international Journal of Applications and Applied Mathematics, Special Issue No.1, 2010, 110-121.
[3]. S. Vedat, M. Shaher, Solving Systems of Fractional Differential Equations Using Differential Transform method, Journal of Computational and Applied Mathematics, 215, 2008, 142-151.
[4]. A. Fadi, E. Rawashdeh, H. Jaradat, Analytic Solution of Fractional Integro-Differential Equations, Journal of Mathematics and Computer Science Series, 38(1), 2011, 1-10.
[5]. S. Tauseef, M. Aslam, Variational Iteration Method for Solving Discrete KDV Equation, Blletin of the Institute of Mathematics Academia Sinica (New Series), 5(1), 2010, 69-73.

Abstract: In this paper we introduced a new concept of graph of any finite group and we obtained graphs of some finite groups. Moreover some results on this concept are proved.

Keywords: Group, Abelian group, Cyclic group, Graph, Degree of a vertex, Degree of a graph.

[1] S.G. Shrinivas et. al. / International Journal of Engineering Science and Technology, Vol. 2(9), 2010, 4610-4621

[2] R. A. Muneshwar, K.L. Bondar, On Graph of a Finite Group, IOSR Journal of Mathematics,. Volume 10, Issue 5 Ver. VI (Sep-Oct. 2014), PP 05-09.

[3] Joseph A. Gillian, Contemporary Abstract Algebra (Fourth Edition, Narosa Publishing House Pvt. Ltd. 1999)

[4] I. S. Luther and I. B. S. Passi, Algebra-Vol. 1: Groups ( Narosa Publishing House Pvt. Ltd., New Delhi, 1996.)

[5] Jean H. Gallier. Discrete Mathematics.(Universitext. Springer Verlag, first edition, 2011.)

Abstract: This paper focuses on the definition of organizational/corporate culture and sheds the light on the important studies on the topic. Various definitions of corporate culture as discussed by various authors have been analyzed. The different types of cultures and what researchers have found out about their effects on organization performance has been reviewed in this paper

[1]. Daulatram B. Lund, (2003),"Organizational culture and job satisfaction", Journal of Business & Industrial Marketing, Vol. 18 Iss: 3 pp. 219 - 236
[2]. Denison, D. (1984). Bringing corporate culture to the bottom line. Organizational Dynamics, 13(2), 5-22.
[3]. Hofstede, G. (1980). Culture‟s Consequences. Sage, Beverly Hills, CA. Ismael, Yusof and Davoud (2010) "A Review Paper on Organizational Culture and Organizational Performance"
[4]. Jeniffer,, David, Charles and Bernadette (2011) Organizational Culture And Performance In High-Technology Firms: The Effects Of Culture Content And Strength
[5]. Kotter, P. and Heskett, L. (1992). Corporate Culture and Performance, Macmillan, New York, NY.
[6]. Lim, B. (1995). Examining the organizational culture and organizational performance link. Leadership and Organizational Development Journal, 16(5), 16-21.
[7]. Marcoulides, G. and Heck, R. (1993). Organizational culture and performance: Proposing and testing a model. Organization Science, 4(2), 209-225.
[8]. Ogbonna, E and Harris, L. (2000). Leadership style, organizational culture and performance: Empirical evidence from UK companies. International Journal of Human Resources Management, 11(4), 766-788.
[9]. Ogbonna, E and Harris, L. (2002). Managing organizational culture: Insights from the hospitality industry. Human Resource Management Journal, 12(1), 22-53.

Abstract: The temperature distribution in human tissues is significantly affected by the introduction of an abnormality. The study of temperature distribution in different layers of peripheral tissue is intended to contribute in the diagnosis of many disorders in various organs. In this paper, an axisymmetric one dimensional model has been developed to study transient state temperature distribution in different layers of normal and post surgery peripheral (abnormal) tissues of human limb

[1] M. Jain, and M. Shakya, Study of temperature variation in human peripheral region during wound healing process due to plastic surgery, Applied Mathematical Sciences, 3(54), 2009, 2651-2662.
[2] A. K. Deodhar, and R. Rana, Surgical physiology of wound healing: a review, Journal of Postgraduate Medicine, 43(2), 1997, 52.
[3] H. H. Pennes, Analysis of tissue and arterial blood temperatures in the resting human forearm, Journal of applied physiology, 1(2), 1948, 93-122.
[4] T. C. Shih, P. Yuan, W. L. Lin, H. S. Kou, Analytical analysis of the Pennes bioheat transfer equation with sinusoidal heat flux condition on skin surface, Medical Engineering & Physics, 29(9), 2007, 946-953.
[5] W. Perl, Heat and matter distribution in body tissues and the determination of tissue blood flow by local clearance methods, Journal of Theoretical Biology, 2(3), 1962, 201-235.
[6] D. Arya, Temperature distribution in human skin and subcutaneous tissues under radiation and evaporation conditions, Indian J. pure appi. Math, 14(11), 1983, 1398-1405.

Abstract: Steady magnetohydrodynamic mixed convective flow of viscous and incompressible fluid in vertical walls having linear axial temperature variation along the surface is studied. Induced magnetic field produced by motion of electric conducting fluid is taken account. The governing partial differential equations are transformed into a system of ordinary differential equations, which is then solved analytically for three different cases depending upon the values of the Rayleigh number and Hartmann Number.

[1]. Hartmann, J.: Hg-dynamics I theory of the laminar flow of an electrically conductive liquid in a homogenous magnetic field, Det
Kal. Danske Videnskabernes selskab, Mathematisk-fysiske Meddeleser. XV, 1-27 (1937).
[2]. Ostrach, S.: Combined Natural and Forced Convection Laminar Flow and Heat Transfer of Fluids With and Without Heat
Sources in Channels with Linearly Varying Wall Temperature, NACA Technical Note No. 3141(1954).
[3]. Ostrach, S.: Unstable convection in vertical channels with heating form below including effects of heat sources and frictional
heating, NACA Technical Note No. 3458(1955).
[4]. Beckett, P. M.: Combined natural and forced convection between parallel walls, SIAM, Journal Applied Mathematics, 39(2),
372-384(1980).
[5]. Beckett, P. M., Friend, I. E.: Combined natural and forced convection between parallel walls: developing flow at higher Rayleigh
numbers, International Journal of heat and Mass Transfer, 27, 611-621(1984).

Abstract: submodule K of an R-module M is called strongly large in M, in case for any mM , sR with ms  0 there exists r R such that mrK and mrs  0 .A submodule N of an R-module M is called SL-closed if, N has no proper strongly large extension in M [2]. In this paper, we introduce the concept of modules with the SL-closed intersection property. An R-module M is said to have the SL-closed intersection property (briefly SLCIP) if, the intersection of any two SL-closed submodules of M is again SLclosed.
Our aim in this paper is to give some characterizations about this concept. Also, we give some properties of such modules.
Keywords: SL-closed submodules, SLCIP modules, SL-UC modules.

[1]. B. Ungor ; S. Halicioglu, Strongly extending modules, Hacettepe J. math and statistics, 42(5), 2013, 465-478.
[2]. B. Ungor ;S. Halicioglu ;M.A. Kamal ; A. Harmanci, Strongly large module extensions, An.stiint.Univ. Al, I.Cuza
Iasi.math.(S.N.)59,No.2, 2013, 431-452.
[3]. K.R. Goodearl, Ring theory, Nonsingular rings and modules, Dekker, Newyork, 1967.
[4]. M.S. Abbas, On fully stable modules, Ph.D. Thesis, Univ. Of Baghdad, Iraq, 1990.
[5]. M. Alkan ; A. Harmanci, On summand sum and summand intersection property of modules, Turk. J. math, 26(2002), 131-147.