Title: Website selection for online shopping by multi-criteria decision analysis using symmetric hendecagonal fuzzy number

Authors: M. Revathi; M. Valliathal

Addresses: Tamilnadu School of Architecture, Coimbatore, 641659, Tamil Nadu, India ' Chikkaiah Naicker College, Erode, 638004, Tamil Nadu, India

Abstract: Fuzzy decision-making offers comprehensive resources that can tackle with uncertainty in different categories of decision-making problems that can be developed for best website selection. The main intention of this research is to propose a website evaluation model using fuzzy multi-criteria group decision-making (FMCGDM) method. The opinions of the experts are recorded by linguistic terms that can be conveyed in a new generalised structure of the fuzzy number named symmetric hendecagonal fuzzy number (SymmHDFN). On this basis, the evaluation model is suggested and implemented for four major online shopping websites with alternatives, and the influential criteria that control online shopping are taken into account. Simple additive weighting (SAW) procedure is applied to evaluate the websites in this study. A ranking system based on the centroid procedure is extended to SymmHDFN and implemented on the websites being considered.

Keywords: symmetric hendecagonal fuzzy number; SymmHDFN; fuzzy decision-making; centroid method; simple additive weighting; SAW; ranking fuzzy numbers.

DOI: 10.1504/IJMOR.2023.129485

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.3, pp.339 - 359

Received: 18 Jun 2021
Accepted: 22 Jan 2022

Published online: 10 Mar 2023 *

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