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2019 | OriginalPaper | Chapter

Numerical Solution to Singularly Perturbed Differential Equation of Reaction-Diffusion Type in MAGDM Problems

Authors : P. John Robinson, M. Indhumathi, M. Manjumari

Published in: Applied Mathematics and Scientific Computing

Publisher: Springer International Publishing

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Abstract

In multiple attribute group decision-making (MAGDM) problems, weights of decision-makers play a vital role. In this paper, we present a new approach for finding the weights for decision-making process based on singular perturbation problem in which decision-makers’ weights are completely unknown. The attribute weights are derived using the exact and numerical solution for reaction-diffusion type problem. For the decision-making process, we utilize a class of ordered weighted averaging (OWA) operator, and the newly calculated decision-maker weights are used in the computations of identifying the best alternative from the available alternatives. The feasibility of the proposed method is displayed through a numerical illustration, and comparison is made with existing ranking methods.

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next chapter Application of Integrodifferential Equations Using Sumudu Transform in Intuitionistic Trapezoidal Fuzzy MAGDM Problems
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Metadata
Title
Numerical Solution to Singularly Perturbed Differential Equation of Reaction-Diffusion Type in MAGDM Problems
Authors
P. John Robinson
M. Indhumathi
M. Manjumari
Copyright Year
2019
Book
Applied Mathematics and Scientific Computing

Print ISBN: 978-3-030-01122-2

Electronic ISBN: 978-3-030-01123-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-01123-9_1

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