A generalized effective neurosophic soft set and its applications

IF 1.8 3区 数学 Q1 MATHEMATICS AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231517
Sumyyah Al-Hijjawi, Abd Ghafur Ahmad, Shawkat Alkhazaleh
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引用次数: 1

Abstract

We introduce the concept of an effective neutrosophic soft set, which aims to capture the influence on three independent membership functions representing degrees of truth (T), indeterminacy (I) and falsity (F). We go further by presenting a generalization of the effective neutrosophic soft set, which includes the incorporation of a degree to signify the potential for an approximate value-set. This enhancement contributes to improved efficiency and realism in the concept. Notably, this innovative approach leverages the strengths of both the generalized neutrosophic set and the effective neutrosophic soft set. The subsequent sections delve into fundamental operations on the generalized effective neutrosophic soft set, providing clarity through illustrative examples and propositions. Furthermore, we demonstrate the practical application of the generalized effective neutrosophic soft set in addressing decision-making problems and medical diagnoses.

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广义有效神经系统软集及其应用
我们引入了有效中性软集的概念,其目的是捕获对表示真度(T),不确定性(I)和假度(F)的三个独立隶属函数的影响。我们进一步提出了有效中性软集的推广,其中包括结合程度来表示近似值集的潜力。这种增强有助于提高效率和现实的概念。值得注意的是,这种创新的方法利用了广义中性粒细胞集和有效中性粒细胞软集的优势。随后的章节将深入研究广义有效中性软集的基本操作,通过说明性示例和命题提供清晰度。此外,我们展示了广义有效中性粒细胞软集在解决决策问题和医学诊断中的实际应用。
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来源期刊
AIMS Mathematics
AIMS Mathematics Mathematics-General Mathematics
CiteScore
3.40
自引率
13.60%
发文量
769
审稿时长
90 days
期刊介绍: AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.
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