Cardinality inverse soft matrix theory and its applications in multicriteria group decision making

Kamacı, Hüseyin; Saltık, Kader; Akız, H. Fulya; Atagün, Akın Osman

doi:10.3233/jifs-17876

Cited by 19 publications

(5 citation statements)

References 39 publications

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“…As the number of decision makers increases, it is difficult to produce an output with the manual steps of the algorithm proposed by Razak et al [30]. The optimum sets obtained using the SSRDM algorithm in [13] and Algorithm 1 coincide. Also, SSRDM algorithm has Scilab codes.…”

Section: The Comparison and Advantage Of Ifsspdm Methods (Algorithm 1)mentioning

confidence: 99%

“…Especially, Ç agman et al [7] redefined the operations of Molodtsov's soft sets to make it more functional and then adapted them to the soft matrices in [8]. The soft matrix theory was further improved by the researchers [9][10][11][12][13][14] towards the applications of decision making problems. In 2001, Maji et al [15] introduced a fuzzy soft set by combining Molodtsov's soft set and Zadeh's fuzzy set.…”

Section: Introductionmentioning

confidence: 99%

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The adjustable approaches to multi-criteria group decision making based on inverse fuzzy soft matrices

Petchimuthu¹,

Kamacı

2020

Scientia Iranica

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In this paper, we focus on the matrices representing the inverse fuzzy soft sets over both the universal object set and the universal parameter set. Some basic operations and properties of these inverse fuzzy soft matrices are investigated. Moreover, two adjustable approaches to multi-criteria group decision making (MCGDM), namely inverse fuzzy soft sum-product decision making (IFSSPDM) and inverse fuzzy soft distributive If-difference decision making (IFSDIf-dDM), are proposed. The IFSSPDM approach achieves the optimal choice for the MCGDM problem based on the inverse fuzzy soft structures consisting of multiple-discrete parameter sets and common universal object sets. The objective of IFSDIf-dDM approach is to present a solution for the MCGDM problem based on the inverse fuzzy soft structures consisting of a common universal parameter set and two discrete universal object sets. Thus, the solutions can be obtained using the practicality of inverse fuzzy soft matrices for two different types of decision making problems. Besides, the comparisons are presented showing that the proposed approaches produce more convincing outputs than the current fuzzy soft approaches.

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Section: The Comparison and Advantage Of Ifsspdm Methods (Algorithm 1)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The adjustable approaches to multi-criteria group decision making based on inverse fuzzy soft matrices

Petchimuthu¹,

Kamacı

2020

Scientia Iranica

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“…After Molodtsov, Maji et al [17,18] and Ali et al [19] described several settheoretic operations in soft set theory. Besides this, the applications in the real world of soft set have been discussed in many directions such as medical diagnosis [20,21], incomplete data analysis [22,23], and decision-making [24][25][26]. Although soft set theory has the tool of parametrization, however, in some rare cases where the data sets are not Boolean, it requires hybridization that could establish broader paradigms and make the decision-making process enormously simple and more efcient from the available data.…”

Section: Fuzzy Sets and Soft Sets Teories Fuzzy Set Theory Due Tomentioning

confidence: 99%

Fuzzy Set and Soft Set Theories as Tools for Vocal Risk Diagnosis

Sanabria,

Álvarez,

Ferrer

2023

Applied Computational Intelligence and Soft Computing

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New mathematical theories are being increasingly valued due to their versatility in the application of intelligent systems that allow decision-making and diagnosis in different real-world situations. This is especially relevant in the field of health sciences, where these theories have great potential to design effective solutions that improve people’s quality of life. In recent years, several prediction studies have been performed as indicators of vocal dysfunction. However, the rapid increase in new prediction studies as a result of advancing medical technology has dictated the need to develop reliable methods for the extraction of clinically meaningful knowledge, where complex and nonlinear interactions between these markers naturally exist. There is a growing need to focus the analysis not only on knowledge extraction but also on data transformation and treatment to enhance the quality of healthcare delivery. Mathematical tools such as fuzzy set theory and soft set theory have been successfully applied for data analysis in many real-life problems where there is presence of vagueness and uncertainty in the data. These theories contribute to improving data interpretability and dealing with the inherent uncertainty of real-world data, facilitating the decision-making process based on the available information. In this paper, we use soft set theory and fuzzy set theory to develop a prediction system based on knowledge from phonoaudiology. We use information such as patient age, fundamental frequency, and perturbation index to estimate the risk of voice loss in patients. Our goal is to help the speech-language pathologist in determining whether or not the patient requires intervention in the presence of a voice at risk or an altered voice result, taking into account that excessive and inappropriate voice behavior can result in organic manifestations.

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“…In [18][19][20][21], the researchers discussed specific kinds of soft matrices and construct new improved types of soft max-min decision making procedure. Moreover, the inverse types of soft matrices were investigated and their applications to decision making were presented [22,23]. Recently, the works on the operations of soft sets and soft matrices are progressing rapidly.…”

Section: Introductionmentioning

confidence: 99%

Set-generated soft subrings of rings

Atagün

Kamacı

2022

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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This paper focuses on the set-oriented operations and set-oriented algebraic structures of soft sets. Relatedly, in this paper, firstly some essential properties of $\alpha$-intersection of soft set are investigated, where $\alpha$ is a non-empty subset of the universal set. Later, by using $\alpha$-intersection of soft set, the notion of set-generated soft subring of a ring is introduced. The generators of soft intersections and products of soft subrings are given. Some related properties about generators of soft subrings are investigated and illustrated by several examples.

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Cardinality inverse soft matrix theory and its applications in multicriteria group decision making

Cited by 19 publications

References 39 publications

The adjustable approaches to multi-criteria group decision making based on inverse fuzzy soft matrices

The adjustable approaches to multi-criteria group decision making based on inverse fuzzy soft matrices

Fuzzy Set and Soft Set Theories as Tools for Vocal Risk Diagnosis

Set-generated soft subrings of rings

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