Cubic fuzzy Heronian mean Dombi aggregation operators and their application on multi-attribute decision-making problem

Ayub, Sanum; Abdullah, Saleem; Ghani, Fazal; Qiyas, Muhammad; Khan, Muhammad Yaqub

doi:10.1007/s00500-020-05512-4

Cited by 31 publications

(16 citation statements)

References 39 publications

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“…Mahmood et al [12] established the concept of CNs and developed a set of weighted aggregation operators (AOs) to solve MADM difficulties. Fahmi et al [13] intercepted Einstein AOs for CNs and apply these AOs to solve MADM problems under cubic information. Ayub et al [14] have presented a set of cubic fuzzy Dombi AOs that have been implemented on Dombi t-norm and t-conorm and used to solve MADM issues in cubic fuzzy context.…”

Section: Introductionmentioning

confidence: 99%

A Novel MAGDM Approach Based on Cubic $q$ -Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator

Khan

Garg

Khattak

et al. 2022

Journal of Function Spaces

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The cubic q -rung orthopair fuzzy set (Cq-ROFS) is a basic simplification of several fuzzy notions, including fuzzy set (FS), interval valued FS (INVFS), intuitionistic FS (INTFS), q -rung orthopair FS (q-ROFS), and INV q -rung orthopair FS (INVq-ROFS). By the degrees of INVq-ROFS and q-ROFS, Cq-ROFS exposes fuzzy judgement, and this is one of the advanced mathematical tools to handle more complicated assessment information in multiple attribute group decision-making (MAGDM) problems. In this article, firstly, encouraged from power average (PA) operator, generalized MSM operator, and generalized dual MSM operator, two novel aggregation operators (AOs) such as cubic q -rung orthopair fuzzy power generalized Maclaurin symmetric mean (Cq-ROFPWGMSM) operator and cubic q -rung orthopair fuzzy power generalized dual Maclaurin symmetric mean (Cq-ROFPWGDMSM) operator are initiated by merging PA operator with GMSM and GDMSM operators and some core characteristics of these AOs are investigated. Furthermore, some core cases with respect to different general parameters values are also investigated and found that some aggregation operators are special cases of the initiated AOs. Secondly, the weighted form of these newly initiated aggregation operators is also offered. Thirdly, two MAGDM models are offered based on Cq-OFPGWMSM and Cq-ROFPGWDMSM operators. Lastly, a numerical example about the selection of the best assistant professor of the year is taken as an application to show the effectiveness and capability of the initiated approaches. There is also a comparison with existing decision-making models.

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Section: Introductionmentioning

confidence: 99%

A Novel MAGDM Approach Based on Cubic $q$ -Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator

Khan

Garg

Khattak

et al. 2022

Journal of Function Spaces

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“…Multi-attribute decision-making (MADM) indicates a series of decision-making problems that we often encounter in our daily life [1][2][3][4][5]. MADM theories and methods have received great interests and quite a few significant achievements have been published [6][7][8][9][10]. At the same time, these theories have also been applied in many fields to solve practical problems [11][12][13][14], such as the prevention of soil erosion [11] and factory location selection [12].…”

Section: Introductionmentioning

confidence: 99%

A Novel q-Rung Dual Hesitant Fuzzy Multi-Attribute Decision-Making Method Based on Entropy Weights

Kou

Feng

Wang

2021

Entropy

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In this paper, a new multiple attribute decision-making (MADM) method under q-rung dual hesitant fuzzy environment from the perspective of aggregation operators is proposed. First, some aggregation operators are proposed for fusing q-rung dual hesitant fuzzy sets (q-RDHFSs). Afterwards, we present properties and some desirable special cases of the new operators. Second, a new entropy measure for q-RDHFSs is developed, which defines a method to calculate the weight information of aggregated q-rung dual hesitant fuzzy elements. Third, a novel MADM method is introduced to deal with decision-making problems under q-RDHFSs environment, wherein weight information is completely unknown. Finally, we present numerical example to show the effectiveness and performance of the new method. Additionally, comparative analysis is conducted to prove the superiorities of our new MADM method. This study mainly contributes to a novel method, which can help decision makes select optimal alternatives when dealing with practical MADM problems.

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“…Similar to these operators, Heronian mean (HM) operator has the same function. Numerous researchers explored HM operators [37,38].…”

Section: Introductionmentioning

confidence: 99%

An improved MULTIMOORA method for multi-valued neutrosophic multi-criteria group decision-making based on prospect theory

Xiao

Wang²,

Wang

2021

Scientia Iranica

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At present, there are many subways being constructed in many cities. In the construction of subways, an appropriate scheme is helpful to save cost and ensure the quality of the project. This paper attaches great importance to present a multi-criteria group decision-making (MCGDM) method to deal with selecting an appropriate construction scheme for subways. The process of selecting an appropriate construction scheme for subways is complex because it includes a great deal of fuzzy and uncertain information which can be presented by multi-valued neutrosophic numbers (MVNNs). In addition, in order to handle the interaction of inputs, an improved generalized multi-valued neutrosophic weighted Heronian mean (IGMVNWHM) operator is introduced. Subsequently, a new distance measure between two MVNNs is defined for deriving the objective criteria weights. Considering that decision-makers are not completely rational, we develop an improved multi-valued neutrosophic MULTIMOORA method based on prospect theory. Finally, an application example of selecting an appropriate construction scheme for a subway and the influence of parameter are described. In addition, the validity and advantages of the proposed method are proved by comparative analysis.

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Cubic fuzzy Heronian mean Dombi aggregation operators and their application on multi-attribute decision-making problem

Cited by 31 publications

References 39 publications

A Novel MAGDM Approach Based on Cubic $q$ -Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator

A Novel MAGDM Approach Based on Cubic $q$ -Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator

A Novel q-Rung Dual Hesitant Fuzzy Multi-Attribute Decision-Making Method Based on Entropy Weights

An improved MULTIMOORA method for multi-valued neutrosophic multi-criteria group decision-making based on prospect theory

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Cubic fuzzy Heronian mean Dombi aggregation operators and their application on multi-attribute decision-making problem

Cited by 31 publications

References 39 publications

A Novel MAGDM Approach Based on Cubic q -Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator

A Novel MAGDM Approach Based on Cubic q -Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator

A Novel q-Rung Dual Hesitant Fuzzy Multi-Attribute Decision-Making Method Based on Entropy Weights

An improved MULTIMOORA method for multi-valued neutrosophic multi-criteria group decision-making based on prospect theory

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A Novel MAGDM Approach Based on Cubic $q$ -Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator

A Novel MAGDM Approach Based on Cubic $q$ -Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator