Archive

On Pairwise Almost Normality

Authors:

Ajoy Mukharjee , Madhusudhan Paul

DOI NO:

https://doi.org/10.26782/jmcms.2012.07.00008

admin May 15, 2015

Abstract:

In this paper, we introduce the notion of pairwise almost normality which is a generalization of almost normality.

Keywords:

bitopological space, pairwise normal,pairwise almost normal,

Refference:

I. M. K. Bose, A. Roy Choudhury and A. Mukharjee, On bitopological paracompactness, Mat.Vesnik 60 (2008), 255-259.

II. M. K. Bose and Ajoy Mukharjee, On bitopological full normality, Mat. Vesnik 60 (2008), 11-18.

III. M. C. Datta, Paracompactness in bitopological spaces and an application to quasi-metric spaces, Indian J. Pure Appl. Math. (6) 8 (1977), 685-690.

IV. P. Fletcher, H. B. Hoyle III and C. W. Patty, The comparison of topologies, Duke Math. J. 36 (1969), 325-331.

V. J. C. Kelly, Bitopological spaces, J. Lond. Math. Soc. (3) 13 (1963), 71-89.

VI.M. K. Singal and Asha Rani Singal, Some more separation axioms in bitopological spaces, Ann. Soc. Sci. Brux., 84 (1970), 207-230.

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Journal Vol - 7 No -1, July 2012

Buckling of (2n+1) Layers Plywood Shell Under Two Way Compressions

Authors:

Anukul De , Doyal Debnath

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00001

admin May 15, 2015

Abstract:

The object of this paper is to obtain all the stress resultants of an anisotropic (2n+1) layers plywood shell. The deferential equations of equilibrium of (2n+1) layers plywood shell under three simultaneous loads are obtained. The solution of the deferential equations for anisotropic (2n+1) layers plywood shell in case of two way compressions is obtained here. The stable region for a plywood shell in this case is obtained. Buckling diagram for five layers plywood shell and seven layers plywood shell are shown graphically as special cases.

Keywords:

an anisotropic layers,plywood shell, two way compressions,buckling diagram,

Refference:

I. Cheng, S. and Ho, B.P.C. (1963): ‘Some problems in stability of heterogeneous aeolotropic cylindrical shells under combined loading’ AIAA Journal, vol. 1, no. 7, pp. 1603-1607.

II. Cheng, S., and Kuenzi, E. W. (1963):‘Buckling of an Orthotropic or Plywood Cylindrical Shell under External Radial Pressure’, Proceedings of the 5th International Symposium on Space Technology and Science, Tokyo, pp 527.

III. De, A. (1983):‘Buckling of anisotropic ѕhеllѕ I ’, Application of Mathematics, vol. 28, no. 2, pp. 120-128.

IV. De, A. and Chaudhury, M. (2008):‘Buckling of double walled cylindrical shells with out shear load’, Bulletin of Calcutta Mathematical Society, vol. 100, no.5, and pp 515-528.

V. Flügge, W., (1973): Stresses in Shells, second edition, Springer-Verlag, New York.

VI. Hess, T. E. (1961):‘Stability of orthotropic cylindrical shells under combined loading’, ARS Journal, vol. 31, pp. 237-246.

VII. Lei, M. M. and Cheng, S. (1969):‘Buckling of composite and homogeneous isotropic cylindrical shells under axial and radial loading’, Journal of Applied Mechanics, vol. 8, pp..791-798.

VIII. Love, A. E. H. (1944): A Treatise on the Mathematical Theory of Elasticity, Dover publications, New York.

IX. Singer, J. and Fersh-Scher, R. (1964):‘Buckling of orthotropic conical shells under external pressure’, Aeronautical Quarterly, vol. XV, pp. 151-168.

X. Singer, J.(1962): ‘Buckling of orthotropic and stiffened conical shells’, Collесtеd papers on instability of shell ѕtruсturеѕ’. N. A. S. A. T. N. D-1510, pp. 463.

XI. Tasi, J. (1966):‘Effect of heterogeneity on the stability of composite cylindrical shells under axial compression’, AIAA Journal, vol. 4, pp. 1058-1062.

XII. Tasi, J., Feldman, A. and Stang, D. A. (1965):‘The buckling strength of filament-wound cylinders under axial compression’ CR-266, NASA.

XIII. Thieleman, W., Schnell, W. and Fischer, G. (1960):‘Buckling and post-buckling behaviour of orthotropic circular cylindrical shells subject to combined axial and internal pressure’, Zeitschrift Flugwiss, vol. 8, pp 284.

XIV. Timoshenko, S. and Woinowsky Krieger, S. (1983):‘Theory of plates and shells’ 4th Edition, McGraw-Hill International Book Company, New York.

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Journal Vol - 7 No -2, January 2013

Some Characterizations of n-Distributive Lattices

Authors:

M. Ayub Ali , R. M. HafiZur Rahaman, A. S. A. Noor , Jahanara Begum

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00002

admin May 16, 2015

Abstract:

In this paper, we have included several characterizations of n-distributive lattices. Also we have generalized the prime Separation Theorem for an n-annihilator nJI⊥= (where J is a non-empty finite subset of L) and characterized the n-distributive lattices.

Keywords:

distributive lattices ,annihilator, prime Separation Theorem,

Refference:

I.Balasubramani P. and Venkatanarasimhan P. V., Characterizations of the 0- Distributive Lattices, Indian J. pure appl. Math. 32(3) 315-324, (2001).

II.Latif M . A. and Noor A. S. A., A generalization of Stone’s representation theorem . The Rajshahi University studies. (part B) 31(2003) 83-87.

III.Noor A. S. A. and Latif M. A., Finitely generated n-ideals of a lattice, SEA Bull .Math. 22(1998)72-79.

IV.Noor A. S. A. and Hafizur Rahman M., On largest congruence containing a convex sublattice as a class, The Rajshahi University studies. (part B) 26(1998)89-93.

V.Ayub Ali M., Noor A. S. A. and Podder S. R. n-distributive lattices, Submitted, Journal of Physical Sciences, Bidyasagar University, West Bengal, India.

VI. Powar Y.S.and Thakare N. K., 0-Distributive semilattices, Canad. Math. Bull. Vol.21(4) (1978), 469-475. 7) Varlet J. C., A generalization of the notion of pseudo-complementedness, Bull. Soc. Sci. Liege, 37(1968), 149-158.

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Journal Vol - 7 No -2, January 2013

Forecasting Production of Food grain Using ARIMA Model and Its Requirement in Bangladesh

Authors:

Lasker Ershad Ali, Masudul Islam, Md. Rashed Kabir , Faruque Ahmed

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00003

admin May 16, 2015

Abstract:

We forecast the food grain requirement and its production in Bangladesh. Before forecasting, we examine different methods and find time series model i.e. ARIMA model in different order predict accurate values. Then we used autoregressive integrated moving average (ARIMA) models to forecast the future amount of food grain in different years in this study. For the accuracy checking, we take the difference between the actual amount of food grain in a specific year and the predicted or the forecasting amount of the food grain in that year.

Keywords:

forecast,food grain ,production,ARIMA model,

Refference:

I.Assis, K., Amran, A., Remali, Y. and Affendy, H. (2010). A comparison of univariate time series methods for forecasting cocoa bean prices. Trends Agric. Econ., 3, 207–215.

II.Brokwell, P. J. & Davis, R. A. (1997). Introduction to Time Series and Forecasting, Springer, New York.

III.Cooray, T.M.J.A.(2006). Statistical analysis and forecasting of main agriculture output of Sri Lanka: rule-based approach. Appeared In10th International Symposium, 221, 1–9. Sabaragamuwa University of Sri Lanka.

IV.Clements, M. and Hendry, D. (1998). Forecasting economic time series, United University Press, Cambridge.

V.Gourieroux, C. and Monfort, A.(1997).Time Series and dynamic Models, Cambridge University Press, England.

VI.Gujarati, D. N.(2004). Basic Econometrics, 4th ed., McGraw Hill, New York.

VII.Hossain, M.Z., Samad, Q.A. & Ali, M.Z. (2006). ARIMA model and forecasting with three types of pulse prices in Bangladesh: A case study. International Journal of Social Economies. 33, 344–353.

VIII.Jonathan, D. C. & Kung-Sik, C.() Time Series Analysis with Application in R , 2nd ed., Spring Steet, New York.

IX.Saeed N., Saeed A., Zakria M. & Bajwa, T. M. (2000).Forecasting of Wheat Production in Pakistan using Arima Models, International Journal of Agriculture & Biology, 1560–8530, 02,4,352–353.

X.Makridakis, S.(2003). Forecasting Method and Application, 3rd ed., John Wiley and Sons, New York.

XI.Montgomery, D. C.(1990). Forecasting and Time Series Analysis”, 2nd ed., McGRAW-Hill, Inc, New York.

XII.Nochai, R. & Nochai, T. (2006). ARIMA Model for Forecasting Oil Palm Price: 2nd IMT-GT Regional Conference on Mathematics, Statistic and Applications. University Sains Malaysia, Penang, June 13-15.

XIII.Prindyck, R. S. & Rubinfeld, D. L. (1981). Economic Models and Economic Forecasts, 3rd ed., McGrsw-Hill, Inc, New York.

XIV.Shukla, M. & S. Jharkharia.(2011). Applicability of ARIMA models in wholesale vegetable market: An investigation. Proceedings of the 2011International Conference on Industrial Engineering and OperationsManagement. Kuala Lumpur, Malaysia, January 22-24.

XV.Wankhade, R., Mahalle, S., Gajbhiye, S. & Bodade, V.M. ( 2010). Use of the ARIMA model for forecasting pigeon pea production in India. International Review Of Business Finance, 2, 97–102.

XVI.Thorne, B. & Carlson W. (2007). Statistics for Business and Economics, 6th ed., Arrangement with Pearson Education, Inc. and Dorling Kindersley publishing, Inc., New Delhi.

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Journal Vol - 7 No -2, January 2013

Distributive Join – Semi Lattice

Authors:

Shiuly Akhter , A.S.A. Noor

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00004

admin May 16, 2015

Abstract:

In this paper, we have studied some properties of ideals and filters of a join-semilattice. We have also introduced the notion of dual annihilator. We have discussed 1-distributive join-semilattice and given several characterizations of 1-distributive join-semilattices directed below. Finally we have included a generalization of prime separation theorem in terms of dual annihilators.

Keywords:

ideals,join-semilattice,1-distributive lattice ,dual annihilator,

Refference:

I. Balasubramani, P. and Venkatanarasimhan, P. V., Characterizations of the 0-Distributive Lattice, Indian J. pure appl. Math. 32(3) 315-324, (2001).

II. Gratzer, G., Lattice Theory, First Concepts and Distributive Lattices, San Francisco W.H. Freeman, (1971).

III. Noor, A. S. A. and Talukder, M. R., Isomorphism theorem for standard ideals of a join semilattice directed below, Southeast Asian. Bull. Of Math. 32, 489-495 (2008).

IV. Pawar, Y.S.andThakare, N. K., 0-Distributive Semilattices, Canad. Math. Bull. Vol. 21(4), 469-475 (1978).

V. Talukder, M. R.andNoor,A. S. A., Standard ideals of a joinsemilatticedirected below. Southeast AsianBull. Of Math.22, 135-139 (1997).

VI. Talukder, M. R and Noor, A. S. A.,Modular ideals of a join semilattice directed below Southeast Asian Bull.of Math. 23, 18-37 (1998).

VII. Varlet, J. C., Distributive semilattices and Boolean Lattices, Bull. Soc. Roy. Liege, 41, 5-10 (1972).

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Journal Vol - 7 No -2, January 2013

Box Pushing Using Hybrid ABC-NSGAII Algorithm

Authors:

Sudipta Ghosh, Sudeshna Mukherjee , Gopal Pal

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00005

admin May 16, 2015

Abstract:

In this paper, we present a novel method of path optimization using box pushing method and implementing ABC algorithm in combination with NSGAII Algorithm to achieve optimization. Here, in this case a Multi-Objective Function Optimization is carried out using Bees Colony Optimization and NSGAII Algorithm.

Keywords:

boxpushing,ABC algorithm,NSGAII,BeesColonyOptimization,

Refference:

I.Chakrabarty J., Konar A., Nagar A., Das S., “Rotation and translation selective Pareto optimal solution to the box-pushing problem by mobile robots using NSGA-II” IEEE CEC 2009

II. Karaboga Dervis, An Idea Based on Honey Bee Swarm for Numerical Optimization, Technical Report-TR06, October, 2005

III. Karaboga D., Basturk B., On the Performance of Artificial Bee Colony Algorithm, received in revised form 9 January 2007; accepted 30 May 2007

IV. Alatas Bilal, Chaotic Bee Colony Algorithm for Global Numerical Optimization

V. Deb K., Agarwal A. P. S., and Meyarivan T., “A fast and elitist multiobjective genetic Algorithm: NSGAII”

VI. Kube C. R., and Zhang H., “The use of perceptual cues in multi-robot box pushing,” in IEEE International Conference on Robotics and Automation, 1996, vol. 3, pp. 2085-2090

VII. Yamada S., and Saito J., “Adaptive action selection without explicit communication for multi-robot box-pushing,” in IEEE International Conference on Intelligent Robots and Systems, 1999, pp. 1444 -1449.

VIII.Chakraborty J., Konar A., Nagar A., Tawfik H., “A multi-objective Pareto-optimal solution to the box-pushing problem by mobile robots,” Second UKSIM European Symposium on Computer Modeling and Simulation, pp.70-75, 2008.

IX. Mataric M. J., Nilsson M., and Simsarian K. T., “Cooperative multirobot box-pushing,”In IEEE International Conference on Intelligent Robots and Systems, 1995, vol. 3, pp.556-561.

X. Parker L.E., Tang F. , “Building multi-robot coalitions through automated task solution synthesis” Proceedings of IEEE Vol.94, No.7,July 2006.

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Journal Vol - 7 No -2, January 2013

On Semi Prime Ideals in Lattices

Authors:

R. M. Hafizur Rahman, M. Ayub Ali , A. S. A. Noor

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00006

admin May 16, 2015

Abstract:

Recently Yehuda Rav has given the concept of Semi-prime ideals in a general lattice by generalizing the notion of 0-distributive lattices. In this paper we study several properties of these ideals and include some of their characterizations. We give some results regarding maximal filters and include a number of Separation properties in a general lattice with respect to the annihilator ideals containing a semi-prime ideal.

Keywords:

semi-prime ideals,0-distributive lattices,annihilator ideals,

Refference:

I. Balasubramani P. and Venkatanarasimhan P.V., Characterizations of the 0-Distributive Lattices, Indian J. pure appl.Math. 32(3) 315-324, (2001).

II. Powar Y.S. and Thakare N. K., 0-Distributive semilattices, Canad. Math. Bull. Vol.21(4) (1978), 469-475.

III. Rav Y., Semi prime ideals in general lattices, Journal of pure and Applied Algebra, 56(1989) 105- 118.

IV. Varlet J. C., A generalization of the notion of pseudo-complementedness, Bull. Soc. Sci. Liege, 37(1968), 149-158.

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Journal Vol - 7 No -2, January 2013

Method of Solution to the Over-Damped Nonlinear Vibrating System with Slowly Varying Coefficients under Some Conditions

Authors:

Pinakee Dey

DOI NO:

https://doi.org/10.26782/jmcms.2013.07.00001

admin May 17, 2015

Abstract:

A simple analytical solution extended to certain damped-oscillatory nonlinear systems with varying coefficients. The solution obtained for different initial conditions for a second order nonlinear system show a good coincidence with those obtained by numerical method. The method is illustrated by an example

Keywords:

damped nonlinear systems,KBM method ,eigen-value,

Refference:

I.Krylov, N. N. and, Bogoliubov N.N., Introduction to Nonlinear Mechanics, Princeton University Press, New Jersey 1947..

II.Bogoliubov, N. N. and Mitropolskii Yu., Asymptotic Methods in the Theory of nonlinear Oscillations, Gordan and Breach, New York 1961.

III. Mitropolskii, Yu., Problems on Asymptotic Methods of Non-stationary Oscillations, (in Russian), Izdat, Nauka, Moscow 1964..

IV.Popov P., “A generalization of the Bogoliubov asymptotic method in the theory of nonlinear oscillations”, Dokl.Akad. Nauk SSSR 111, 308-310 (in Russian) 1956..

V.Murty S. N., Deekshatulu B. L. and Krisna G., “General asymptotic method of Krylov-Bogoliubov for over-damped nonlinear system”, J. Frank Inst. 288, 49-46, 1969.

VI.Alam Shamsul M., “Asymptotic methods for second-order over-damped and critically damped nonlinear system”, Soochow J. Math, 27, 187-200, 2001 .

VII.Alam Shamsul M., “A unified Krylov-Bogoliubov-Mitropolskii method for solving nth order nonlinear systems”, Journal of the Franklin Institute 339, 239-248, 2002.

VIII.Nayfeh A. H., Introduction to perturbation Techniques, J. Wiley, New York, 1981.

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Journal Vol - 8 No -1, July 2013

Vibration of Orthotropic Circular Plate with Thermal Effect in Exponential Thickness and Quadratic Temperature Distribution

Authors:

Anukul De , D. Debnath

DOI NO:

https://doi.org/10.26782/jmcms.2013.07.00002

admin May 17, 2015

Abstract:

The object of this paper is to investigate the vibration problem of orthotropic circular plate with exponentially varying thickness in the radial direction subject to quadratic temperature distribution. The equation of equilibrium for the above mentioned plate is obtained. The differential equation of equilibrium is solved using the Frobenius method. The frequency equation for clamped plate and simply supported plate are obtained. For both the boundary condition the variations of deflection with radial distance are shown graphically for first mode of vibration.

Keywords:

orthotropic circular plate ,quadratic temperature distribution,Frobenius method,

Refference:

I. Banerjee, J.R., Su, : ‘Free vibration of rotating tapered beams using the dynamic stiffness method’, Journal of sound and vibration, vol. 298, no. 4-5, pp. 1034.

II. Chaudhari, T. D. : ‘A study of vibration of geometrically segmented beams with and without crack’, International Journal of solids and structures, vol. 37, pp. 761.

III.Gupta, A. K., Khanna, A. and Gupta, D. V. ,(2009) : ‘Free vibration of clamped visco- elastic rectangular plate having bi-direction exponentially thickness variations’, Journal of theoretical and applied mechanics, vol. 47, no. 2, pp. 457.

IV. Khanna, A., Sharma, A. K., Singh, H. and Magotra, V. K., (2011) : ‘Bi-parabolic thermal effect on vibration of visco-elastic square plate’, Journal of applied Mathematics and Bioinformatics, vol. 1, no. 2, pp. 39.

V. Kumar, R. and Partap, G.,(2009) : ‘Axisymmetric free vibrations in a microstretch thermoelastic homogeneous isotropic plate’, International Journal of Mechanics and Engineering, vol. 14, no. 1, pp. 211.

VI. Lal, R., (2003) : ‘Transverse vibrations of orthotropic non-uniform rectangular plate with continuously varying density’, Indian Journal of pure and applied mathematics, vol. 34, no. 4, pp. 587.

VII. Li, S. R. and Zhou, Y. H. ,(2001) : ‘Shooting method for non linear vibration and thermal buckling of heated orthotropic circular plate’, Journal of sound and vibration, vol.328, no. 2, pp. 379.

VIII. Nowacki, W., (1962) : Thermoelasticity, Pergamon Press, New York..

IX. Qin, S., (1994) : ‘Bending problems of non-homogeneous cylindrical orthotropic circular plate’, Applied Mathematics and Mechanics (English edition), vol.15, no.10, pp.965.

X. Tomar, J. S. and Gupta, A. K., (1985) : ‘Thermal effect on axi-symmetric vibrations of an orthotropic circular plate of parabolically varying thickness’, Indian Journal pure and applied mathematics, vol. 16, no. 5, pp. 537.

XI. Warade, R. W. and Deshmukh, K. C.,(2004) : ‘Thermal deflection of thin clamped circular plate due to a partially distributive heat supply’, GANIT, vol. 55, no. 2, pp. 179.

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Journal Vol - 8 No -1, July 2013

Uncharged Massless Particle Tunneling from Kerr-Newman-NUT Blackhole

Authors:

M. Abdullah Ansary , MD. Ismail Hossain

DOI NO:

https://doi.org/10.26782/jmcms.2013.07.00003

admin May 17, 2015

Abstract:

By applying Parikh-Wilczek’s semi-classical tunneling method we obtain the emission rate of massless uncharged particle at the event horizon of Kerr-Newman-NUT blackhole. We consider the spacetime background is dynamical and incorporate the self-gravitation effect of the emitted particles when energy conservation and angular momentum conservation are taken into account. We find that the emission rate at the event horizon is equal to the difference of Bekenstein-Hawking entropy before and after emission.

Keywords:

Uncharged particle ,Kerr-Newman-NUT blackhole ,emission rate ,Bekenstein-Hawking entropy,

Refference:

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X. Zhang J., Zheng Zhao; Phys. Lett. B 618(2005)14

XI. Liu W.; Chinese Journal of physics, Vol.45, No.1(2007) February.

XII. Sarkar S., Kothawala D.; gr-qc/07094448

XIII. Zhang J., Zheng Zhao; gr-qc/0512153.

XIV. Qing-Quan Jiang, Shuang-Qing Wu, Xu- Cai; hep-th/0512351(2006)

XV. Kerner R., Mann R. B.; hep-th/08032246.

XVI. Xiao-Xiong Zeng, Hang-Song Hou and Shu-Zheng Yang; PRAMANA, Journal of Physics, Vol. 70, No.3, March(2008).

XVII. Ya-Peng Hu, Jing-Yi Zhang, Zheng Zhao; gr-qc/09012680.

XVIII. Kerner R., Mann R. B. ; gr-qc/0603019.

XIX. Gillani U. A., Rehman M. and Saifullah K.; hep-th/11020029.

XX. Bilal M. and Saifullah K.; gr-qc/10105575.

XXI. Rehman M. and Saifullah K.; hep-th/10115129.

XXII. Huei-Chan Lin and Chopin Soo; gr-qc/0905-3244.

XXIII. Arzano M., Medved A. J. M., Elias C. Vagenas; hep-th/0505266

XXIV. Angheben M., Nadalini M., Vanzo L. and Zerbini S.; hep-th/0503081.

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XXVIII. Matsuno K. and Umetsu K.; hep-th/11012091.

XXIX. Ali M. H.; gr-qc/ 07063890.

XXX. Ali M. H.; gr-qc/ 07071079

XXXI. W. liu; New coordinates of BTZ Black Hole and Hawking radiation via tunneling.

XXXII. Medved A.J.M.; hep-th/0110289

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Journal Vol - 8 No -1, July 2013

Emotion Detection using Fuzzy Logic

Authors:

Sudipta Ghosh, Sanjib Ghosh, Arpan Dutta , Gopal Paul

DOI NO:

https://doi.org/10.26782/jmcms.2013.07.00004

admin May 17, 2015

Abstract:

Aim of this paper is providing a novel method for evaluating emotion ilicitation procedures based on emotion recognition. Attention should be paid to physiological signals for emotion recognition compared to audiovisual emotion channels such as facial expression or speech. This paper focuses on an idea to define emotion from different perspectives and explore possible causes and variations of different parameters. Here the authors determined the scope of fuzzy relational approach to human emotion identification from facial expression. Initially the facial features are extracted from selective regions which are fuzzified and mapped onto an emotion space. This has been implemented using Mamdani type relational model. In subsequent stages Max-min inverse fuzzy relation has been used to determine the fuzziness of emotions if values of facial expressions are known.

Keywords:

facial features ,emotion ,fuzzy relation,Mamdani type,

Refference:

I.Datcu Dragos, Rothkrantz Léon J. M., “Emotion recognition using bimodal data fusion,”. CompSysTech 2011,122-128.

II.Zia Uddin Md., Lee J. J., Kim T.-S., “Independent shape component-based human activity recognition via Hidden Markov Model,” Appl. Intell. 33(2), 193-206 (2010)

III.Yang Yong, Zhengrong Chen, Liang Zhu, Wang Guoyin “Attribute Reduction for Massive Data Based on Rough Set Theory and MapReduce,” RSKT 2010, 672-678.

IV.Chuan-Yu Chang, Shang-Cheng Li, Pau-Choo Chung, Jui-Yi Kuo, Yung-Chin Tu: “Automatic Facial Skin Defect Detection System,” BWCCA 2010, 527-532.

V.O. A. Uwechue and S. A. Pandya, “Human Face Recognition Using Third-Order Synthetic Neural Networks,” Boston, MA: Kluwer,

VI.Bhavsar A. and Patel H. M., “Facial Expression Recognition Using Neural Classifier and Fuzzy Mapping,” IEEE Indicon 2005 Conference, Chennai, India.

VII.Guo Yimo, Gao Huanping, “Emotion Recognition System in Images Based On Fuzzy Neural Network and HMM,” Proc. 5th IEEE Int. Conf. on Cognitive Informatics (ICCI’06), IEEE 2006

VIII.Chakraborty A., Konar A., Chakraborty U. K. and Chatterjee A., “Emotion Recognition From Facial Expressions and Its Control Using Fuzzy Logic”, IEEE Transactions on Systems, Man and Cybernetics, IEEE 2009

IX.Zadeh L. A., “Fuzzy Sets”, Information and Control, vol. 8, no. 3, pp. 338-353, 1965.

X.Mendel J.M and Wu D., Perceptual Computing, IEEE Press, Wiley Publications, 2010.

XI.Cordon O., M. J del Jesus, Herrera F., “A proposal on reasoning methods in fuzzy rule-based classification systems,” Int. J. of Approximate Reasoning, Vol. 20, pp. 21-45, 1999.

XII.Das S., Halder A., Bhowmik P., Chakraborty A., Konar A., Nagar A. K., “Voice and Facial Expression Based Classification of Emotion Using Linear Support Vector,” 2009 Second International Conference on Developments in eSystems Engineering, IEEE 2009

XIII.Kharat G.U. and Dudul S.V., “Emotion Recognition from Facial Expression Using Neural Networks,” Human-Computer Sys. Intera., AISC 60, pp. 207–219 Springer-Verlag Berlin Heidelberg 200

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Journal Vol - 8 No -1, July 2013

Some Properties of the congruences of a Near lattice

Authors:

Mizanur Rahman, A.S.A.Noor

DOI NO:

https://doi.org/10.26782/jmcms.2013.07.00005

admin May 17, 2015

Abstract:

By a near lattice we mean a meet semi lattice with the property that any two elements possessing a common upper bound, have a supremum. In this paper, we have studied some properties of congruences in near lattices. For a near lattice S, if n is an upper and neutral then the set of all finitely generated n-ideals )S(Fnis a lattice. Here we have provided an isomorphism between the lattice of congruences ))S(F(Cn and )S(C.We also showed that if n is a central element of a distributive near lattice S, then ))S(F(I)S(Inn≅If and only if )S(Fn is generalized Boolean, where )S(In is the lattice of all n-ideals of S. Finally we include some equivalent conditions for the permutability of the smallest congruences )I(Θ containing the n-ideals I, when S is a distributive medial near lattice and n is an upper element.

Keywords:

near lattice,semi lattice ,congruences ,ideals,

Refference:

I.M.G. Hossain and Noor A.S.A., n-deals of a nearlattice .J.Sc.The Rajshahi University Studies 28(2000) 105-111

II.Latif M. A., n-ideals of a lattice, Ph.D Thesis , Rajshahi University (1994).

III.Noor A.S.A. and Cornish W.H., Around a neutral element of a near lattice, Comment. Math. Univ. Carolinae. 28(2) (1987) 199-210.

IV.A.S.A.Noor and M.A.Latif, Finitely generated n-ideals of a lattice, SEA Bull .Math. 22(1998)72-79.

V.Noor A.S.A. and Rahman M.B., Congruence relation in a distributive nearlattice, The Rajshahi University studies (part B) 23-24(1996),195-202.

VI.Noor A.S.A. and Akhtar Shiuly, On Congruences corresponding to n-ideals in a distributive nearlattice, The Rajshahi University Studies (Part B), 31(2003) 107-114.

VII.Rahman M., On finitely generated n-ideals of a near lattice, Ph.D Thesis, Rajshahi University (2006).

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Journal Vol - 8 No -1, July 2013

On a Problem of Moments

Authors:

Arvinda Banerjee , Mihir B. Banerjee

DOI NO:

https://doi.org/10.26782/jmcms.2014.01.00001

admin May 17, 2015

Abstract:

The necessary and sufficient conditions for a point ),(21μμ in the −μμ21plane to be constituted of the first and second moment of a probability distribution have been established in the present paper. The main results are reported in Theorem 1 and Theorem 2.

Keywords:

probability distribution , first moment of a probability distribution ,second moment of a probability distribution ,

Refference:

I. Shohat, J.A. and Tamarkin, J. D. The Problem of Moments, American Mathematical Society,1963.

II. Banerjee, M.B. and Shandil, R.G. A theorem of mean and standard deviation of a statistical variate, Ganita, 46,21-23.

III. Kapur, J.N. On inequality between moments of probability distribution, Ganita, 47,37-41.

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Journal Vol - 8 No -2, January 2014

Generalized Magnetohydrodynamic Couette flow of a binary mixture of viscous fluids through a horizontal channel under Soret Effect

Authors:

Animesh. Adhikari

DOI NO:

https://doi.org/10.26782/jmcms.2014.01.00002

admin May 17, 2015

Abstract:

The Soret effect of temperature gradient on separation in generalized magnetohydrodynamic (MHD) Couette flow of a binary mixture of incompressible conducting viscous fluids between two parallel plates has been investigated analytically in the case when one plane is subjected to zero heat flux while the other has prescribed temperature. The expressions for velocity, temperature and the concentration are obtained analytically and the behaviour of concentration is shown graphically. It is observed that the temperature gradient separates the binary mixture components and the lighter component gets collected near the moving wall.

Keywords:

magnetohydrodynamic,Couette flow,viscous fluids,heat flux ,temperature gradient,

Refference:

I. Alchaar S., Vasseur P., Bilgen E.: J. Num. Heat TransferA, 27, 107 (1995).

II. Bian W., Vasseur P., Bilgen E., Meng F.: Int. Jour. Heat Fluid Flow, 17, 36 (1996).

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IV. Chauhan D. S., Vyas P.: Proc. Nat. Acad. Sci. India, 66A, 63 (1996).

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VIII. Shah N.A.: Ph.D. Thesis, Dibrugarh University, India (1996).

IX. B.R.Sharma, R.N.Singh: Bull. Cal. Math. Soc.,5, 96, 367 (2004).

X. Landau L.D., E.M.Lifshitz: Electrodynamics of continuous Media, Pergamon Press. Oxford, New York, English Ed., 104 (1960).

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XII. Hurle D.T.J., E.Jakeman: J.Fluid Mech. 4, 47, 667 (1971).

XIII. Srivastava A.C.: Proc. National Acad. Sci. India, A2. 69, 103 (1999).

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Journal Vol - 8 No -2, January 2014

Some Aspects of Compact Fuzzy Sets

Authors:

M. A. M. Talukder , D. M. Ali

DOI NO:

https://doi.org/10.26782/jmcms.2014.01.00003

admin May 17, 2015

Abstract:

The aim of the present is to study compact fuzzy set using the definition of C. L. Chang and obtain its several aspects .

Keywords:

fuzzy set, compact fuzzy set,fuzzy topological spaces,

Refference:

I. Ali D. M., Ph.D. Thesis, Banaras Hindu University, 1990.

II. Chang C. L., Fuzzy Topological Spaces, J. Math. Anal. Appl. , 24(1968), 182 – 190.

III. David H., , Fuzzy Topological Groups, J. Math. Anal. Appl. , 67(1979), 549 – 564.

IV. Gantner T. E. and Steinlage R. C., Compactness in Fuzzy Topological Spaces, J. Math. Anal. Appl. , 62(1978), 547 – 562.

V. Lipschutz S., Theory and problems of general topology, Schaum’s outline series, McGraw-Hill book publication company, Singapore, 1965 .

VI. Mendelson B., Introduction to Topology, Allyn and Bacon Inc, Boston, 1962.

VII. Pu Pao – Ming and Liu Ying – Ming, Fuzzy topology. I. Neighborhood Structure of a fuzzy point and Moore – Smith Convergence ; J. Math. Anal. Appl. 76 (1980) , 571 – 599.

VIII.Murdeshwar M. G., General topology, wiley eastern limited, New Delhi Bangalore Bombay, Calcutta, 1983.

IX. Zadeh L. A., Fuzzy Sets, Information and Control, 8(1965), 338 – 353.

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Journal Vol - 8 No -2, January 2014