Multi-criteria Decision-Making Model Using Complex Pythagorean Fuzzy Yager Aggregation Operators

Akram, Muhammad; Peng, Xindong; Sattar, Aqsa

doi:10.1007/s13369-020-04864-1

Cited by 35 publications

(22 citation statements)

References 44 publications

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“…Liu etc [14] proposed q-RPFYWA operator, q-RPFYOWA operator, q-RPFYWG operator, q-RPFYWG operator, and q-RPFYWG operator under q-ROFS. Muhammad Akram and Peng et al [21] studied the MADM model based on the Pythagorean fuzzy Yager aggregation operator. However, so far, no scholars have proposed Yager operator under IVq-ROFS.…”

Section: Introductionmentioning

confidence: 99%

An Integrated Group Decision-making Method for Hypertension Risk Management Under Interval-valued q-rung Othopair Fuzzy

Wan

Zhou

Liang

et al. 2022

Preprint

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This paper develops a new group decision-making (GDM) method for multi-attribute group decision-making (MAGDM) problems with unknown weights, which integrates Yager operator, CRITIC and WASPAS decision methods under interval-valued q-rung orthopair fuzzy sets (IVq-ROFS). The main contributions of this paper are concluded as below: (1) We first extend the distance measurement to interval-valued q-rung fuzzy numbers (IVq-ROFNs), and proves its properties. And we develop a new score function which is used to measure IVq-ROFNs, and the new score function overcomes the deficiencies of the existing score function. (2) We extend Yager weighted average operator (IVq-ROFYWA) and Yager weighted geometric average operator (IVq-ROFYWG) under IVq-ROFS, and we discuss the properties of IVq-ROFYWA and IVq-ROFYWG operators. (3) We propose a new method to derive expert weights of different alternatives, which can avoid the deficiency of overall decision-making perspective. And we extend deriving attribute weights method based on CRITIC under IVq-ROFS. (4) A new integrated MAGDM method is proposed. The MAGDM method integrates Yager operator, score function, distance measurement, expert weights deriving method, CRITIC method, and WASPAS method. (5) Finally, the group decision-making algorithm is used for hypertension risk management. The results are consistent with experts’ opinions. And comparing and analyzing results show that the proposed MAGDM method is effective and feasible.

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Section: Introductionmentioning

confidence: 99%

An Integrated Group Decision-making Method for Hypertension Risk Management Under Interval-valued q-rung Othopair Fuzzy

Wan

Zhou

Liang

et al. 2022

Preprint

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“…Phase term of CPFS is of vital importance and makes it dominant to all other models due to its tendency to tackle two-dimensional vague information efficiently. Akram et al [40][41][42] worked for the development of aggregation operators on the basis of Yager and Dombi operations for complex Pythagorean fuzzy (CPF) model. Tan et al [43], Wei et al [44], and Waseem et al [45] contributed to literature by proposing the decision-making models based on hesitant fuzzy Hamacher AOs, bipolar fuzzy Hamacher AOs, and m-polar fuzzy Hamacher AOs, respectively.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Method for Complex Pythagorean Fuzzy Decision Making

Akram

Alsulami

Zahid

2021

Mathematical Problems in Engineering

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This article takes advantage of advancements in two different fields in order to produce a novel decision-making framework. First, we contribute to the theory of aggregation operators, which are mappings that combine large amounts of data into more advantageous forms. They are extensively used in different settings from classical to fuzzy set theory alike. Secondly, we expand the literature on complex Pythagorean fuzzy model, which has an edge over other models due to its ability to handle uncertain data of periodic nature. We propose some aggregation operators for complex Pythagorean fuzzy numbers that depend on the Hamacher t-norm and t-conorm, namely, the complex Pythagorean fuzzy Hamacher weighted average operator, the complex Pythagorean fuzzy Hamacher ordered weighted average operator, and the complex Pythagorean fuzzy Hamacher hybrid average operator. We explore some properties of these operators inclusive of idempotency, monotonicity, and boundedness. Then, the operators are applied to multicriteria decision-making problems under the complex Pythagorean fuzzy environment. Furthermore, we present an algorithm along with a flow chart, and we demonstrate their applicability with the assistance of two numerical examples (selection of most favorable country for immigrants and selection of the best programming language). We investigate the adequacy of this algorithm by conducting a comparative study with the case of complex intuitionistic fuzzy aggregation operators.

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“…Wan et al developed a novel TOPSIS method for Pythagorean fuzzy multiple attribute group decision-making [20]. Akram et al proposed Pythagorean fuzzy Yager aggregation operators and then used them to solve the multicriteria decision-making problem [21].…”

Section: Introductionmentioning

confidence: 99%

A Novel Pythagorean Group Decision‐Making Method Based on Evidence Theory and Interactive Power Averaging Operator

et al. 2021

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Since Pythagorean fuzzy sets can better reflect the cognition of the decision objects for experts, researchers have begun to pay increasingly more attention to them in recent years. The majority of the research on Pythagorean fuzzy environment assumes that the decision maker is completely rational and does not consider the correlation among the attribute variables. In view of the above, this paper proposes a method to solve the multiple attribute group decision-making problem based on D-S theory and interactive power averaging operator. First, the new Pythagorean fuzzy interactive weighted power average operator is designed to aggregate the attribute evaluation information given by experts one by one, and the comprehensive evaluation information of each expert is obtained. Then, the expert comprehensive evaluation information is aggregated by the rule of evidence combination to obtain the comprehensive evidence information and confidence interval of each candidate. Then, the decision-making method for candidate alternatives is performed by the possibility discriminant rule. The design method considers not only the decision makers’ bounded rationality but also the correlation among the attribute variables. Finally, the selection of the energy exploitation plan illustrates the feasibility and effectiveness of the proposed group decision method.

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Multi-criteria Decision-Making Model Using Complex Pythagorean Fuzzy Yager Aggregation Operators

Cited by 35 publications

References 44 publications

An Integrated Group Decision-making Method for Hypertension Risk Management Under Interval-valued q-rung Othopair Fuzzy

An Integrated Group Decision-making Method for Hypertension Risk Management Under Interval-valued q-rung Othopair Fuzzy

A Hybrid Method for Complex Pythagorean Fuzzy Decision Making

A Novel Pythagorean Group Decision‐Making Method Based on Evidence Theory and Interactive Power Averaging Operator

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