A general class of fuzzy operators, the demorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators

Dombi, József

doi:10.1016/0165-0114(82)90005-7

Cited by 512 publications

(209 citation statements)

References 4 publications

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“…However, one potential drawback of the aforementioned operators is that the results are sensitive to the value of an operator-related parameter, and a minor change in the value of this parameter could reflect significant variations in the final decision. Similar concerns are associated with various other well-known operators such as Dombi's operator [11,12], Hamacher's operator [13], Frank's operator [14], Weber's operators [15], Dubois and Prade's operator [16], and Schweizer's operator [17], among many others. However, there is one fuzzy operator that does not contain any operator-related parameter, and therefore does not suffer from the issues that arise with fuzzy operators mentioned above.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Logic Based Multi-Criteria Wind Turbine Selection Strategy—A Case Study of Qassim, Saudi Arabia

Rehman

Khan

2016

Energies

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Abstract:The emergence of wind energy as a potential alternative to traditional sources of fuel has prompted notable research in recent years. One primary factor contributing to efficient utilization of wind energy from a wind farm is the type of turbines used. However, selection of a specific wind turbine type is a difficult task due to several criteria involved in the selection process. Important criteria include turbine's power rating, height of tower, energy output, rotor diameter, cut-in wind speed, and rated wind speed. The complexity of this selection process is further amplified by the presence of conflicts between the decision criteria. Therefore, a decision is desired that provides the best balance between all selection criteria. Considering the complexities involved in the decision-making process, this paper proposes a two-level decision turbine selection strategy based on fuzzy logic and multi-criteria decision-making (MCDM) approach. More specifically, the fuzzy arithmetic mean operator is used in the decision process. The proposed approach is applied to wind data collected from the site of Qassim, Saudi Arabia. Results indicate that the proposed approach was effective in finding the optimal turbine from a set of 20 turbines of various capacities.

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Section: Introductionmentioning

confidence: 99%

Fuzzy Logic Based Multi-Criteria Wind Turbine Selection Strategy—A Case Study of Qassim, Saudi Arabia

Rehman

Khan

2016

Energies

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“…Due to no parameter selected in [29], the proposed MADM based on Dombi aggregation operators is more flexible than the approach provided in [29]. For further comparison, the existing related decision-making approaches [51][52][53] based on some Dombi operations cannot deal with the decision-making problem with NCSs. However, the decision-making method presented in this paper can describe attributes with interval neutrosophic sets and single valued neutrosophic sets information simultaneously.…”

Section: Comparison Analysismentioning

confidence: 99%

Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

Shi

2018

Algorithms

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Abstract:The neutrosophic cubic set can describe complex decision-making problems with its single-valued neutrosophic numbers and interval neutrosophic numbers simultaneously. The Dombi operations have the advantage of good flexibility with the operational parameter. In order to solve decision-making problems with flexible operational parameter under neutrosophic cubic environments, the paper extends the Dombi operations to neutrosophic cubic sets and proposes a neutrosophic cubic Dombi weighted arithmetic average (NCDWAA) operator and a neutrosophic cubic Dombi weighted geometric average (NCDWGA) operator. Then, we propose a multiple attribute decision-making (MADM) method based on the NCDWAA and NCDWGA operators. Finally, we provide two illustrative examples of MADM to demonstrate the application and effectiveness of the established method.Keywords: neutrosophic cubic sets; neutrosophic cubic Dombi weighted arithmetic average (NCDWAA) operator; Dombi operations; multiple attribute decision-making; neutrosophic cubic Dombi weighted geometric average (NCDWGA) operator

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“…However, one potential drawback of the aforementioned operators is that the results are sensitive to the value of an operator-related parameter, and a minor change in the value of this parameter could reflect significant variations in the final decision. Similar concerns are associated with various other well-known operators such as Dombi's operator [5,6], Hamacher's operator [7], Frank's operator [8], Weber's operators [9], Dubois and Prade's operator [10], and Schweizer's operator [11], among many others. However, one operator, namely the Einstein operator, does not suffer from the drawback, since there is no operatorrelated parameter associated with that.…”

Section: Introductionmentioning

confidence: 99%

Application of Fuzzy Einstein Operator to Multi-Criteria Decision-Making for Selection of Wind Turbine Type with Nominal Power of 2000 K

Khan¹

2016

IJCNT

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Abstract:Wind energy has emerged as a potential alternative to traditional sources of fuel. One key factor that contributes to efficient harnessing of wind energy from a wind farm is the type of turbines used in that farm. However, selection of a specific wind turbine type is not a simple task due to several decision criteria, such as turbine's power rating, and height of tower on which a turbine is mounted, among others. This selection process is further complicated by the presence of conflicts between the decision criteria. Therefore, a decision is desired that provides the best balance between all selection criteria. Considering the complexities involved in the decision-making process, this paper presents a fuzzy logic based decision-making approach for selection of the most appropriate wind turbine for a specific wind farm using fuzzy Einstein operator. The proposed approach is applied to data collected from a potential site. Results indicate that the proposed approach was effective in finding the optimal turbine from a set of available turbines.

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A general class of fuzzy operators, the demorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators

Cited by 512 publications

References 4 publications

Fuzzy Logic Based Multi-Criteria Wind Turbine Selection Strategy—A Case Study of Qassim, Saudi Arabia

Fuzzy Logic Based Multi-Criteria Wind Turbine Selection Strategy—A Case Study of Qassim, Saudi Arabia

Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

Application of Fuzzy Einstein Operator to Multi-Criteria Decision-Making for Selection of Wind Turbine Type with Nominal Power of 2000 K

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