Some results of intuitionistic fuzzy soft sets and its application in decision making

Chetia, B.; Das, P. K.

doi:10.12988/ams.2013.36328

Cited by 7 publications

(7 citation statements)

References 4 publications

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“…Furthermore, as an illustration of how this mathematical tool can be used, a basic example was provided. Ten, Chetia et al [53] initiated the intuitionistic fuzzy soft matrices (IFSMs) concepts to represent the intuitionistic fuzzy soft sets easily. Tey, also, defned their more functional operations in order to conduct theoretical research in intuitionistic fuzzy soft set theory, and established some results.…”

Section: Intuitionistic Fuzzy Soft Sets (Ifsss)mentioning

confidence: 99%

Applications on Bipolar Vague Soft Sets

Sakr

Muse²,

Mohamed

et al. 2023

Journal of Mathematics

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The purpose of this research is to interpolate bipolarity into the definition of the vague soft set. This gives a new more applicable, flexible, and generalized extension of the soft set, the fuzzy soft set, or even the vague soft set, which is the bipolar vague soft set. In addition, types of bipolar vague soft sets, as well as some new related concepts and operations are established with examples. Moreover, properties of bipolar vague soft sets including absorption, commutative, associative, distributive, and De Morgan’s laws are discussed in detail. Furthermore, a bipolar vague soft set-designed decision-making algorithm is provided generalizing Roy and Maji method. This allows making more effective decisions to choose the optimal alternative. Finally, an applied problem is introduced with a comparative analysis to illustrate how the proposed algorithm works more successfully than the previous models for problems that contain uncertain ambiguous data.

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Section: Intuitionistic Fuzzy Soft Sets (Ifsss)mentioning

confidence: 99%

Applications on Bipolar Vague Soft Sets

Sakr

Muse²,

Mohamed

et al. 2023

Journal of Mathematics

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“…A straightforward example was also provided to illustrate how to use this mathematical tool. The intuitionistic fuzzy soft matrixes idea was then developed by Chetia et al [22] in order to readily express intuitionistic fuzzy soft sets and facilitate operations on them. They also detailed their higher functional operations in order to conduct theoretical research in the intuitionistic fuzzy soft set environment and produce some conclusions.…”

Section: Introductionmentioning

confidence: 99%

Medical Diagnosis under Effective Bipolar-Valued Multi-Fuzzy Soft Settings

Sakr,

Alyami,

Abd Elgawad

2023

Mathematics

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The Molodtsov-initiated soft set theory plays an important role as a powerful mathematical tool for handling uncertainty. As an extension of the soft set, the fuzzy soft set can be seen to be more generic and flexible than utilizing the soft set only that fails to represent problem parameters fuzziness. Through this progress, the fuzzy soft set theory cannot deal with decision-making problems involving multi-attribute sets, bipolarity, or some effective considered parameters. Therefore, the goal of this article is to adapt effectiveness and bipolarity concepts with the multi-fuzzy soft set of order n. One can see that this approach generates a novel, extended, effective decision-making environment that is more applicable than any previously introduced one. In addition, types, concepts, and operations of effective bipolar-valued multi-fuzzy soft sets of dimension n are provided, each with an example. Furthermore, properties like absorption, associative, distributive, commutative, and De Morgan’s laws of those new sets are investigated. Moreover, a decision-making methodology under effective bipolar-valued multi-fuzzy soft settings is established. This technique facilitates reaching the final decision that this student is qualified to take a certain education level, or this patient is suffering from a certain disease, etc. In addition, a case study represented in a medical diagnosis example is discussed in detail to make the proposed algorithm clearer. Applying matrix techniques in this example as well as using MATLAB®, not only makes it easier and faster in doing calculations, but also gives more accurate, optimal, and effective decisions. Finally, the sensitivity analysis, as well as a comparison with the existing methods, are conducted in detail and are summarized in a chart to show the difference between them and the current one.

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“…Khan et al [13] used the IFSS in decision support systems. Several researchers proposed a novel method that applied IFSS to solve decision-making problems [14][15]. They used this approach to study agriculture sciences, used the Sanchez method to diagnose patients, and created an algorithm.…”

Section: Introductionmentioning

confidence: 99%

Enhancing Diabetes Diagnosis through an Intuitionistic Fuzzy Soft Matrices-Based Algorithm

Jafar,

Muniba,

Saqlain

2023

Spec. Eng. Man. Sci.

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The diagnosis of Type-1 diabetes is a challenging and sophisticated procedure for medical experts. The complexity of this condition necessitates the use of sophisticated decision-making tools, and in this setting, intuitionistic soft set theory and its accompanying matrices prove to be invaluable resources. Our suggested technique uses intuitionistic soft matrices to solve challenging multi-criteria decision-making issues, opening a promising new direction for improving the precision of diabetes diagnosis. Diabetes requires careful evaluation and assessment since it is characterized by several illnesses that interfere with the body's capacity to control blood plasma glucose levels. Our main goal is to use intuitionistic fuzzy soft matrices to thoroughly examine diabetic patients in the decision-making domain. By giving medical professionals more accurate tools to treat this pervasive and difficult health issue, this novel strategy has the potential to revolutionize the diagnosis and management of diabetes.

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Some results of intuitionistic fuzzy soft sets and its application in decision making

Cited by 7 publications

References 4 publications

Applications on Bipolar Vague Soft Sets

Applications on Bipolar Vague Soft Sets

Medical Diagnosis under Effective Bipolar-Valued Multi-Fuzzy Soft Settings

Enhancing Diabetes Diagnosis through an Intuitionistic Fuzzy Soft Matrices-Based Algorithm

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