iosr-Jm   Volume-21 ~ Issue-3 ~ May – Jun. 2025

Abstract : In the last two to three decades, significant research has focused on special functions related to statistical distributions. This includes the Generalized Hurwitz-Lerch Zeta Beta type-2 distributions and Gamma distribution, generalized hypergeometric distributions, Parabolic cylinder distribution, generalized Hurwitz Zeta Beta prime distributions, Mathieu distribution, Plank distribution, Mittag-Leffler distribution, Hurwitz Lerch Zeta distribution. Furthermore........

Keywords: Special functions, Statistical distributions, Generalized Hurwitz-Lerch Zeta, Gamma Distribution, Hypergeometric Distributions, Parabolic Cylinder Distribution, Moment Generating Function, Survival Function, Hazard Rate Function, Method of Moments..

[1]. Mathai, A. M. (1966). Some Characterizations of the One-Parameter Family of Probability Distributions. Canadian Mathematical Bulletin, 9(1), 95-102.
[2]. Mathai, A. M., & Saxena, R. K. (1968). Distributions having the gamma properties. Metrika, 13(1), 10-16.[3].
Mathai, AM* & Saxena, R. (1969). Applications of special functions in the characterization of probability distributions. South African Statistical Journal, 3(1), 27-34.
[4]. Mathai, A. M., & Moschopoulos, P. G. (1991). On a multivariate gamma. Journal of Multivariate Analysis, 39(1), 135-153.
[5]. A.M. Mathai, A Handbook of Generalize Special Functions for Statistical and Physical Sciences, Oxford University Press, Oxford, (1993).

Abstract : Multi-Criteria Decision Making (MCDM) techniques have attracted significant attention from researchers and professionals across diverse industries due to their ability to effectively evaluate, assess, and rank alternatives. However, choosing the most suitable MCDM method for a specific problem can be challenging, especially when several methods appear equally applicable. Among these methods, the Technique for Order of Performance by Similarity to Ideal Solution (TOPSIS).....

Keywords: TOPSIS, Revised TOPSIS, Euclidean distance, Weighted Euclidean distance, Simulation comparison

[1]. Agrawal, V., V. Kohli, S. Gupta, Computer aided robot selection: the ‘multiple attribute decisionmaking’approach, Int. J. Prod. Res. 29(8) (1991) 1629–1644.
[2]. Akgül, E., Bahtiyari, M. I., KizilkayaAydoğan, E., and Benli, H. (2022). Use of TOPSIS method for designing different textile products in coloration via natural source “madder”. Journal of Natural Fibers, 19(14), 8993-9008.
[3]. Arabameri, A., Rezaei, K., Cerda, A., Lombardo, L., and Rodrigo-Comino, J. (2019). GIS-based groundwater potential mapping in Shahroud plain, Iran. A comparison among statistical (bivariate and multivariate), data mining and MCDM approaches. Science of the total environment, 658, 160-177.
[4]. Athawale, V. M., and Chakraborty, S. (2010, January). A TOPSIS method-based approach to machine tool selection. In Proceedings of the 2010 International Conference on Industrial Engineering and Operations Management Dhaka, Bangladesh (Vol. 2, pp. 83-94).
[5]. Aydogan, E. K. Performance measurement model for Turkish aviation firms using the rough-AHP and TOPSIS methods under fuzzy environment, Expert Syst. Appl. 38 (4) (2011) 3992–3998.

Abstract : In this research work, a five-dimensional LRS Bianchi type-V string cosmological model with the
electromagnetic field in the framework of Lyra’s manifold is investigated. A determinate solution of the field
equations is obtained with the help of the special law of variation for the Hubble parameter. Some physical and
kinematical properties of the model are discussed.......

Key Words: LRS Bianchi type-V; Lyra’s manifold; String Cloud with Electromagnetic Field

[1]. Sen, D.K.: Z. Phys. 149, 311 (1957)
[2]. Mohanty G., Sahoo R.R., Mahanta K.L.:Astrophys Space Sci 312: 321–324(2007)
[3]. Mohanty, G., Sahoo, R.R.:Astrophys Space Sci. 315: 319–322(2008)
[4]. Mohanty, G., Mahanta, K.L.:Astrophys Space Sci. 312: 301–304(2007)
[5]. Daimary, J.,Baruah R.R.: Front. Astron. Space Sci. 9:878653, doi: 10.3389/fspas.2022.878653(2022)..