Development of complex cubic q-rung orthopair fuzzy aggregation operators and their application in group decision-making

Yu-hong, DU; Du, Yuhong; Sun, Ronglu; Du, Yuqin

doi:10.1016/j.jmaa.2022.126848

Cited by 7 publications

(6 citation statements)

References 39 publications

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“…In this portion, the definitions of Ccuq-ROFS and complex cubic q-rung orthopair fuzzy number (Ccuq-ROFN) were introduced as follows: Definition 4 ( [41]). Let X = {x 1 , x 2 , .…”

Section: Definition 3 ([40]mentioning

confidence: 99%

“…Within this subsection, an encompassing analysis is conducted to succinctly encapsulate the utility and preeminence of the innovative techniques. In this subsection, we compare our proposed approach with complex cubic Pythagorean fuzzy weighted average (CCPFWA) operator and complex cubic Pythagorean fuzzy weighted geometric (CCPFWG) operator proposed by Chinnadurai et al [59], complex cubic q-rung orthopair fuzzy weighted average (Ccuq-ROFWA) operator and complex cubic q-rung orthopair fuzzy weighted geometric (Ccuq-ROFWG) operator proposed by Ren et al [41], complex cubic intuitionistic fuzzy Bonferroni mean (CCIFBM) operator and complex cubic intuitionistic fuzzy weighted Bonferroni mean (CCIFWBM) operator and proposed by Mahmood et al [60].…”

Section: Comparison Analysismentioning

confidence: 99%

“…When handling substantial amounts of uncertain information with phase changes, such as in digital and image processing, cubic sets prove ineffective. At present, Ren et al [41] proposed a new hybrid model called complex cubic q-rung orthopair fuzzy set (CCuq-ROFS) by combining complex fuzzy set and Cq-ROFS. It contains more information than complex fuzzy sets and cubic sets, so it is more suitable to deal with complex MAGDM problems.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hamacher Operations for Complex Cubic q-Rung Orthopair Fuzzy Sets and Their Application to Multiple-Attribute Group Decision Making

2023

Symmetry

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In this paper, based on the advantages of q-rung orthopair fuzzy sets (q-ROFSs), complex fuzzy sets (CFSs) and cubic sets (CSs), the concept of complex cubic q-rung orthopair fuzzy sets (CCuq-ROFSs) is introduced and their operation rules and properties are discussed. The objective of this paper was to develop some novel Maclaurin symmetric mean (MSM) operators for any complex cubic q-rung orthopair fuzzy numbers (CCuq-ROFNs) using Hamacher t-norm and t-conorm inspired arithmetic operations. The advantage of employing Hamacher t-norm and t-conorm based arithmetic operations with the MSM operator lies in their ability to take into account not only the interrelationships among multiple attributes but also to provide flexibility in the aggregation process due to the involvement of additional parameters. Also, the prominent characteristic of the MSM is that it can capture the interrelationship among the multi-input arguments and can provide more flexible and robust information fusion. Thus, based on the CCuq-ROF environment, we develop some new Hamacher operations for CCuq-ROFSs, such as the complex cubic q-rung orthopair fuzzy Hamacher average (CCuq-ROFHA) operator, the weighted complex cubic q-rung orthopair fuzzy Hamacher average (WCCuq-ROFHA) operator, the complex cubic q-rung orthopair fuzzy Hamacher Maclaurin symmetric mean (CCuq-ROFHMSM) operator and the weighted complex cubic q-rung orthopair fuzzy Hamacher Maclaurin symmetric mean (WCCuq-ROFHMSM) operator. Further, we develop a novel multi-attribute group decision-making (MAGDM) approach based on the proposed operators in a complex cubic q-rung orthopair fuzzy environment. Finally, a numerical example is provided to demonstrate the effectiveness and superiority of the proposed method through a detailed comparison with existing methods.

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“…In this portion, the definitions of Ccuq-ROFS and complex cubic q-rung orthopair fuzzy number (Ccuq-ROFN) were introduced as follows: Definition 4 ( [41]). Let X = {x 1 , x 2 , .…”

Section: Definition 3 ([40]mentioning

confidence: 99%

Section: Comparison Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hamacher Operations for Complex Cubic q-Rung Orthopair Fuzzy Sets and Their Application to Multiple-Attribute Group Decision Making

2023

Symmetry

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“…In the final grading and ranking stage of alternatives, the primary methods for aggregating decision information in an intuitionistic fuzzy environment include the intuitionistic fuzzy weighted geometric (IFWG) operator, IF ordered weighted geometric (IFOWG) operator, IF weighted averaging (IFWA) operator, and IF ordered weighted average (IFOWA) operator [ 67 , 68 , 69 ]. When aggregating various interval numbers, fuzzy language sets, and other information, fuzzy information is always quantified somehow and then becomes deterministic data, while this process is accompanied by a certain degree of information attenuation [ 70 , 71 ]. Therefore, how to make the aggregated information as complete as possible and add additional information to fill the information loss in the decision-making process has become a novel research direction in the field of aggregation operators in MCGDM [ 72 , 73 , 74 ].…”

Section: Literature Reviewmentioning

confidence: 99%

Extended Multicriteria Group Decision Making with a Novel Aggregation Operator for Emergency Material Supplier Selection

Liu

Zhu

Yang

et al. 2023

Entropy

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How to ensure the normal production of industries in an uncertain emergency environment has aroused a lot of concern in society. Selecting the best emergency material suppliers using the multicriteria group decision making (MCGDM) method will ensure the normal production of industries in this environment. However, there are few studies in emergency environments that consider the impact of the decision order of decision makers (DMs) on the decision results. Therefore, in order to fill the research gap, we propose an extended MCGDM method, whose main steps include the following: Firstly, the DMs give their assessment of all alternatives. Secondly, we take the AHP method and entropy weight method to weight the criteria and the DMs. Thirdly, we take the intuitionistic fuzzy hybrid priority weight average (IFHPWA) operator we proposed to aggregate evaluation information and take the TOPSIS method to rank all the alternatives. Finally, the proposed method is applied in a case to prove its practicability and effectiveness. The proposed method considers the influence of the decision order of the DMs on the decision results, which improves the accuracy and efficiency of decision-making results.

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“…Thus, CQROFSs demonstrate that they are more impressive for dealing with unsure issues. After the CQROFS was effectively introduced, numerous researchers started to consider it broadly and profoundly [20][21]. In general, a linguistic variable is a variable whose qualities are words or sentences in the fake language.…”

Section: Introductionmentioning

confidence: 99%

Weighted Bonferroni Aggregation Operators on Complex q-Rung Orthopair 2-Tuple Linguistic Variables With Application to Green Supply Chain Management

Ali,

Mahmood,

Yang

2023

IEEE Access

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In this paper, we give advanced study in complex q-rung orthopair 2-tuple linguistic variables (CQRO2-TLVs). The major theme of the paper is to evaluate the novel concept of CQRO2-TLVs and their dominant operational laws so that it can be a competent procedure to assess ambiguous and erratic information in realistic decision problems. Furthermore, we derive the weighted Bonferroni aggregation operators with weighted Bonferroni mean (WBM) and weighted geometric Bonferroni mean (WGBM) based on the CQRO2-TLV information for exploring the complex q-rung orthopair 2-tuple linguistic WBM (CQRO2-TLWBM) and complex q-rung orthopair 2-tuple linguistic WGBM (CQRO2-TLWGBM) operators. Some flexible and reliable properties and theories for the CQRO2-TLWBM and CQRO2-TLWGBM operators are investigated. We then introduce two new techniques to manage the multi-attribute decision making (MADM) issues under the fuzzy environment based on these operators. We know that a green supply chain management integrates environmental, ethical, and social concerns that make more about environmental and social responsibility correlated with design, production and distribution. In this paper, we apply the proposed techniques to green supply chain management to express the efficacy and usefulness of the proposed techniques. We finally make the comparisons of the proposed operators with some existing operators that demonstrate the effectiveness of our proposed method.INDEX TERMS Fuzzy sets, Complex q-rung orthopair (CQRO) fuzzy sets, 2-tuple linguistic variables (2-TLVs), CQRO 2-TLVs, Weighted Bonferroni aggregation operators, Weighted Bonferroni mean (WBM), Green supply chain.

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Development of complex cubic q-rung orthopair fuzzy aggregation operators and their application in group decision-making

Cited by 7 publications

References 39 publications

Hamacher Operations for Complex Cubic q-Rung Orthopair Fuzzy Sets and Their Application to Multiple-Attribute Group Decision Making

Hamacher Operations for Complex Cubic q-Rung Orthopair Fuzzy Sets and Their Application to Multiple-Attribute Group Decision Making

Extended Multicriteria Group Decision Making with a Novel Aggregation Operator for Emergency Material Supplier Selection

Weighted Bonferroni Aggregation Operators on Complex q-Rung Orthopair 2-Tuple Linguistic Variables With Application to Green Supply Chain Management

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