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Generalized Spherical Fuzzy Soft Sets in Medical Diagnosis for a Decision

Annamalai University, Department of Mathematics, Chidambaram, 608002, India.

Bharath Institute of Higher Education and Research, Department of Mathematics, Chennai, 600073, India

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (3),
261-277.
https://doi.org/10.62072/acm.2021.040306
Received: 25 July 2021 |
Accepted: 22 December 2021 |
Published: 31 December 2021

Abstract

In the present communication, we introduce the theory of generalized spherical fuzzy soft set and define some operations such as complement, union, intersection, AND and OR. Notably, we tend to showed De Morgan’s laws, associate laws and distributive laws that are holds in generalized spherical fuzzy soft set. Also, we advocate an algorithm to solve the decision making problem based on generalized soft set model. We introduce a similarity measure of two generalized spherical fuzzy soft sets and discuss its application in a medical diagnosis problem. Suppose that there are five patients P1, P2, P3, P4 and P5 in a hospital with certain symptoms of dengue hemorrhagic fever. Let the universal set contain only three elements. That is X = {x1 : severe, x2: mild, x3 : no}, the set of parameters E is the set of certain symptoms of dengue hemorrhagic fever is represented by E = {e1 : severe abdominal pain, e2: persistent vomiting, e3 : rapid breathing, e4 : bleeding gums, e5: restlessness and blood in vomit}. An illustrative examples are mentioned to show that they can be successfully used to solve problems with uncertainties.

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Cite This Article

Generalized Spherical Fuzzy Soft Sets in Medical Diagnosis for a Decision.

Annals of Communications in Mathematics,

2021,
4 (3):
261-277.
https://doi.org/10.62072/acm.2021.040306
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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