Hybrid decision-making frameworks under complex spherical fuzzy \(N\)-soft sets
type: Item
instance of: scholarly article
title: Hybrid decision-making frameworks under complex spherical fuzzy \(N\)-soft sets
zbMATH Open document ID: 1477.03227
DOI: 10.1155/2021/5563215
author: Muhammad Akram
author: Maria Shabir
author: A. N. Al-Kenani
author: J. C. R. Alcantud
published in: Journal of Mathematics
publication date: 2021-06-22T00:00:00Z
review text: Summary: This paper presents the novel concept of complex spherical fuzzy \(N\)-soft set \((CSFN S_fS)\) which is capable of handling two-dimensional vague information with parameterized ranking systems. First, we propose the basic notions for a theoretical development of \(CSFN S_fSs\), including ranking functions, comparison rule, and fundamental operations (complement, union, intersection, sum, and product). Furthermore, we look into some properties of \(CSFN S_fSs\). We then produce three algorithms for multiattribute decision-making that take advantage of these elements. We demonstrate their applicability with the assistance of a numerical problem (selection of best third-party app of the year). A comparison with the performance of Pythagorean \(N\)-soft sets speaks for the superiority of our approach. Moreover, with an aim to expand the range of techniques for multiattribute group decision-making problems, we design a \(CSFN S_f\)-TOPSIS method. We use a complex spherical fuzzy \(N\)-soft weighted average operator in order to aggregate the decisions of all experts according to the power of the attributes and features of alternatives. We present normalized-Euclidean distances (from the alternatives to both the \(CSFN S_f\) positive and negative ideal solutions, respectively) and revised closeness index in order to produce a best feasible alternative. As an illustration, we design a mathematical model for the selection of the best physiotherapist doctor of Mayo hospital, Lahore. We conduct a comparison with the existing complex spherical fuzzy TOPSIS method that confirms the stability of the proposed model and the reliability of its results.
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 91B86
zbMATH DE Number: 7361855
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5563215
OpenAlex ID: W3136511698
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description: scientific article; zbMATH DE number 7361855