Generalised interval valued intuitionistic fuzzy soft matrices and their application to multicriteria decision making

Chinnadurai, V.; Swaminathan, A.; Albert, Bobin; Kani, B Kathar

doi:10.1063/1.5135194

Cited by 3 publications

(1 citation statement)

References 8 publications

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“…Garg et al [30] introduced a nonlinear programming methodology for the MADM problem using IVIFSS. Some recent works that are based on IVIFSS are given in [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Interval-valued intuitionistic quadripartitioned neutrosophic soft sets with T, F, C, and U as dependent neutrosophic components and their application in decision-making problem

Debnath¹

2022

Journal of New Results in Science

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Molodtsov introduced a soft set (SS) to model uncertainty parametrically, and Chaterjee et al. proposed the notion of quadripartitioned neutrosophic set (QNS) by dividing indeterminacy into two independent components, namely contradiction (C) and unknown (U). Afterwards, by combining the SS and QNS, a new concept known as quadripartitioned neutrosophic soft set (QNSS) is introduced. In relation to the concept of QNSS, another concept called interval-valued intuitionistic quadripartitioned neutrosophic soft set (in short IVIQNSS) is established to handle more complex indeterminate information parametrically with the restricted conditions. This paper aims to further generalize the existing soft models by introducing an IVIQNSS to explore another kind of imprecise knowledge. The IVIQNSS model can be viewed as a more flexible and powerful framework to encounter indeterminacy parametrically with T,F,C, and U as dependent interval quadripartitioned neutrosophic components where T,F,C,U⊆[0,1] such that sup⁡T+sup⁡F≤1, and sup⁡C+sup⁡U≤1. So, by using the IVIQNSS framework we are capable to address the indeterminate, inconsistent, and incomplete information more accurately. Different operations such as complement, AND, OR, union, intersection, etc. are defined on IVIQNSSs. Furthermore, an algorithm is constructed to solve decision-making (DM) problems based on IVIQNSS. Finally, an illustrative example is executed to validate the proposed study.

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“…Garg et al [30] introduced a nonlinear programming methodology for the MADM problem using IVIFSS. Some recent works that are based on IVIFSS are given in [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Interval-valued intuitionistic quadripartitioned neutrosophic soft sets with T, F, C, and U as dependent neutrosophic components and their application in decision-making problem

Debnath¹

2022

Journal of New Results in Science

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A novel selection process using combinations of max-min operations in cubic soft matrices

Chinnadurai¹,

Albert²

2020

1st International Conference on Mathematical Techniques and Applications: Icmta2020

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Neutrosophic Fuzzy Soft Matrix Theory and Its Application in Group Decision Making

Debnath¹

2022

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic

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In 2020, Sujit et al. introduced the notion of the neutrosophic fuzzy set (NFS) to deal with uncertainty under a fuzzy environment where the fuzzy membership grade of every element of the field of the domain is associated with three independent neutrosophic components, namely truth, indeterminacy, and falsity membership grade. The main focus of the chapter is to introduce a neutrosophic fuzzy soft set (NFSS) to deal with uncertainty parametrically, and it gives the approximate solution to the problem. NFSS is a mixture of a neutrosophic set, fuzzy sets, and soft sets. So, it can be treated as a hybrid structure that gives more flexibility to solve multi-criteria decision-making problems under a fuzzy environment. NFSS evolved as an extension of fuzzy set, soft set, neutrosophic set, etc. Then the authors propose an algorithmic approach for group decision-making (GDM) problems using a neutrosophic fuzzy soft matrix (NFSM) and its related properties. Finally, an illustrative example shows the applicability of the proposed approach.

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Generalised interval valued intuitionistic fuzzy soft matrices and their application to multicriteria decision making

Cited by 3 publications

References 8 publications

Interval-valued intuitionistic quadripartitioned neutrosophic soft sets with T, F, C, and U as dependent neutrosophic components and their application in decision-making problem

Interval-valued intuitionistic quadripartitioned neutrosophic soft sets with T, F, C, and U as dependent neutrosophic components and their application in decision-making problem

A novel selection process using combinations of max-min operations in cubic soft matrices

Neutrosophic Fuzzy Soft Matrix Theory and Its Application in Group Decision Making

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