Operations on vague soft matrices and its applications in decision making

Inthumathi, V.; Pavithra, M.

doi:10.1088/1742-6596/1139/1/012037

Cited by 4 publications

(2 citation statements)

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“…Furthermore, Selvachandran and Salleh ( [59,60]) introduced rings and ideals in the vague soft sets settings and established some algebraic hyperstructures of the vague soft set theory related to hyper-rings and hyper-ideals. At present, Inthumathi and Pavithra [61] and Faried et al [7] established vague soft matrix notion, investigated its general properties, and discussed its novel applications.…”

Section: Vague Soft Sets (Vsss)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: Vague Soft Sets (Vsss)mentioning

confidence: 99%

Applications on Bipolar Vague Soft Sets

Sakr

Muse²,

Mohamed

et al. 2023

Journal of Mathematics

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“…Furthermore, Selvachandran and Salleh ( [58,59]) introduced rings and ideals in the vague soft sets settings and established some algebraic hyper structures of the vague soft set theory related to hyperrings and hyperideals. At present, Inthumathi and Pavithra [60], as well as Faried et al [61], introduced the vague soft matrix concept, examined its general properties, and investigated its unique uses. Furthermore, Abdullah et al [62] investigated the bipolar fuzzy soft set concept, in 2014, and introduced their basic characteristics.…”

Section: Introduction Motivation and Related Workmentioning

confidence: 99%

A Generalized Decision-Making Technique Based on Bipolar-Valued Multivague Soft Sets

Sakr

Muse²,

Aldallal

2022

Journal of Function Spaces

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The decision-making technique, launched by Roy and Maji, is considered an effective method to overcome uncertainty and fuzziness in decision-making problems, though, adapting it to reflect the problem parameters’ vagueness, as well as multibipolarity, is very difficult. So, in this article, the bipolarity is interpolated into the multivague soft set of order n . This gives a new more generalized, flexible, and applicable extension than the fuzzy soft model, or any previous hybrid model, which is the bipolar-valued multivague soft model of dimension n . Moreover, types of bipolar-valued multivague soft sets of dimension n , as well as some new associated concepts and operations, are investigated with examples. Furthermore, properties of bipolar-valued multivague soft sets of dimension n including absorption, commutative, associative, and distributive properties, as well as De Morgan’s laws, are provided in detail. Finally, a bipolar-valued multivague soft set-designed decision-making algorithm, as well as a real-life example, are discussed generalizing the Roy and Maji method.

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