Neutrosophic Hypersoft Matrix Theory: Its Definition, Operators, and Application in Decision-Making of Personnel Selection Problem

Saqlain, Muhammad; Saeed, Muhammad; Zulqarnain, Rana Muhammad; Moin, Sana

doi:10.1007/978-3-030-57197-9_21

Cited by 10 publications

(13 citation statements)

References 15 publications

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“…Soft sets are considered more precise in vague and hesitate environment. Many researchers discussed the applications, considering MCDM problems but in recent, using accuracy function in uncertain and vague environment a generalized TOPSIS is proposed [10][11] . But still there are some problems which are solved by fuzzy numbers due to their graphical representations.…”

Section: Literature Reviewmentioning

confidence: 99%

Implementation of fuzzy multi: Criteria decision making for recommendation student selection

Jadhav¹,

Jadhav²

2023

J. Math. Prob. Equations Stat.

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Multi Criteria Decision Making (MCDM) uses different techniques to find a best alternative from multialternative and multi-criteria conditions. TOPSIS is an important practical technique for ranking and selection of different alternatives by distance measures. Fuzzy set theories are also employed due to the presence of vagueness and imprecision of information. This paper brings out the application of Multi Criteria Decision Making (MCDM) method known as technique for order preference by similarity to ideal solution (TOPSIS) using pentagonal intuitionistic fuzzy numbers. Therefore the objective of this paper is to select a best student on the basis of the student's performance using ranking techniques for pentagonal intuitionistic fuzzy numbers can be converted into crisp value with the help of this value using TOPSIS method we get the best student of college. An example has been worked out to illustrate the application of TOPSIS for a multi-criteria decision making scenario.

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Section: Literature Reviewmentioning

confidence: 99%

Implementation of fuzzy multi: Criteria decision making for recommendation student selection

Jadhav¹,

Jadhav²

2023

J. Math. Prob. Equations Stat.

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“…The concept of NHSS has been applied in DM technique, i.e. TOPSIS using its accuracy function by Saqlain et al (2019). The tangent similarity measures of sv-NHSS have been computed and applied in DM problem by Saqlain et al (2020b).…”

Section: Introductionmentioning

confidence: 99%

“…The ideas of neutrosophic hypersoft set (NHSS) and single-valued neutrosophic hypersoft set (sv-NHSS) (Smarandache, 2018) have been developed to adequate NSS with MAA-mapping environment. The aggregation operations of NHSS have been developed by Saqlain et al (2020a) and then applied in DM problem. The concept of NHSS has been applied in DM technique, i.e.…”

Section: Introductionmentioning

confidence: 99%

An intelligent multiple-criteria decision-making approach based on sv-neutrosophic hypersoft set with possibility degree setting for investment selection

Zhao

Rahman

et al. 2022

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PurposeThe main purpose of this article is to characterize a novel neutrosophic hypersoft set hybrid called possibility single-valued neutrosophic hypersoft set (psv-NHSS) for evaluation of investment projects by using its aggregation operations and decision-support system.Design/methodology/approachTwo approaches are employed in this article: set-theoretic approach and algorithmic approach. The former one is used to characterize the novel notion of psv-NHSS and its aggregations. The later one is used to construct a decision-support system by using the aggregations like core matrix, maximum-valued decision, minimum-valued decision and scoring-valued decision of psv-NHSS. The adopted algorithm is implemented in real-world scenario of hydroelectric power station project evaluation for investment purpose.FindingsThe proposed model is more flexible and reliable as it addresses the limitations of literature on neutrosophic set, neutrosophic soft set and other fuzzy set-like models by considering possibility degree, hypersoft setting and neutrosophic setting collectively.Research limitations/implicationsIt has limitations for decision-making situations where selection of parameters is of uncertain nature.Practical implicationsThe scope of this study may cover a wide range of applications in many fields of mathematical sciences like artificial intelligence, optimization, multiple-criteria decision-making (MCDM), theoretical computer science, soft computing, mathematical statistics, etc.Originality/valueThe proposed model bears the characteristics of most of the relevant existing models collectively and fulfills their insufficiencies by introducing a novel approximate mapping.

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“…The idea of NHSS has been used in DM method, i.e. TOPSIS by making use of its accuracy function in Saqlain et al (2019). The tangent similarity measures of sv-NHSS have been calculated and then used them in DM problem by Saqlain et al (2020b).…”

Section: Introductionmentioning

confidence: 99%

“…The idea of NHSS has been used in DM method, i.e. TOPSIS by making use of its accuracy function in Saqlain et al. (2019).…”

Section: Introductionmentioning

confidence: 99%

An intelligent sv-neutrosophic parameterized MCDM approach to risk evaluation based on complex fuzzy hypersoft set for real estate investments

Zhang

Rahman

Saeed

2022

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PurposeIn this article, the elementary notions and aggregation operations of single-valued neutrosophic parameterized complex fuzzy hypersoft set (sv-NPCFHSS) are characterized initially. Then by using matrix version of sv-NPCFHSS, a decision-support system is constructed for the evaluation of real estate residential projects by observing various risk factors.Design/methodology/approachTwo approaches are utilized in this research: set-theoretic approach and algorithmic approach. The first approach is used to investigate the notions of sv-NPCFHSS and its some aggregations whereas the second approach is used to propose an algorithm for designing its decision-support system by using the aggregation operations like reduced fuzzy matrix, decision matrix, etc. of sv-NPCFHSS. The adopted algorithm is validated in real estate scenario for the selection of residential project by observing various risk factors to avoid any expected investment loss.FindingsThe proposed approach is more flexible and reliable as it copes with the shortcomings of literature on sv-neutrosophic set, sv-neutrosophic soft set and other fuzzy soft set-like structures by considering hypersoft setting, complex setting and neutrosophic setting collectively.Research limitations/implicationsIt has limitations for complex intuitionistic fuzzy hypersoft set, complex neutrosophic hypersoft set and other complex neutrosophic hypersoft set-like models.Practical implicationsThe scope of this research may cover a wide range of applications in several fields of mathematical sciences like artificial intelligence, optimization, MCDM, theoretical computer science, soft computing, mathematical statistics etc.Originality/valueThe proposed model bears the characteristics of most of the relevant existing fuzzy soft set-like models collectively and fulfills their limitations.

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Neutrosophic Hypersoft Matrix Theory: Its Definition, Operators, and Application in Decision-Making of Personnel Selection Problem

Cited by 10 publications

References 15 publications

Implementation of fuzzy multi: Criteria decision making for recommendation student selection

Implementation of fuzzy multi: Criteria decision making for recommendation student selection

An intelligent multiple-criteria decision-making approach based on sv-neutrosophic hypersoft set with possibility degree setting for investment selection

An intelligent sv-neutrosophic parameterized MCDM approach to risk evaluation based on complex fuzzy hypersoft set for real estate investments

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