Complex Cubic Fuzzy Aggregation Operators With Applications in Group Decision-Making

Zhou, Xiaoqiang; Deng, Yameng; Huang, Zichang; Yan, Feng; Li, Wu

doi:10.1109/access.2020.3044456

Cited by 13 publications

(6 citation statements)

References 49 publications

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“…CPFS is also based on the grade of membership . Some related research can be found in [32][33][34]. It has been mathematically proved that CPFS lies in its large range as compare to CPF and CIFS.…”

Section:  mentioning

confidence: 99%

Some Complex Pythagorean Fuzzy Einstein Geometric Aggregation Operators and their Application in Decision-Making Process

Rahman

2022

Preprint

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The goal of this research is to introduce some Einstein aggregation operators for aggregating the different complex Pythagorean fuzzy sets (CPFSs) by considering the dependency between the pairs of its membership degrees. In the existing studies of fuzzy and its extensions, the uncertainties present in the data are handled with the help of degrees of membership that are the subset of real numbers, which may also loss some valuable data and hence consequently affect the decision results. A modification to these, complex Pythagorean fuzzy set handles the uncertainties with the degree whose ranges are extended from real subset to the complex subset with unit disc and hence handle the two dimensional information in a single set. Thus, motivated by this and this paper we present some novel Einstein aggregation operators, namely complex Pythagorean fuzzy Einstein weighted geometric (CPFEWG) aggregation operator, complex Pythagorean fuzzy Einstein ordered weighted geometric (CPFEOWG) aggregation operator, complex Pythagorean fuzzy Einstein hybrid geometric (CPFEHG) aggregation operator, induced complex Pythagorean fuzzy Einstein ordered weighted geometric (I-CPFEOWG) aggregation operator, and induced complex Pythagorean fuzzy Einstein hybrid geometric (I-CPFEHG) aggregation operator. Also develop some of their desirable properties. Furthermore, based on these proposed aggregation operators a multi-attribute group decision making problems developed under complex Pythagorean fuzzy set environment. An illustrative example related to the selection of the best alternative is considered to show the effectiveness, importance and efficiency of the new developed approach.

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Section:  mentioning

confidence: 99%

Some Complex Pythagorean Fuzzy Einstein Geometric Aggregation Operators and their Application in Decision-Making Process

Rahman

2022

Preprint

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“…. Some related research can be found in [38][39]. It has been mathematically proved that CPFSs lays in its large range as compare to CFSs and CIFSs.…”

Section: Introductionmentioning

confidence: 99%

Complex Fermatean Fuzzy Geometric Aggregation Operators and Their Application on Group Decision-Making Problem Based on Einstein T-Norm and T-Conorm

Rahman

2023

Preprint

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Complex Fermatean fuzzy sets (CFFSs) is one of the successful extension of complex Pythagorean fuzzy sets (CPFSs). The main objective of the paper is to present the notion of complex Fermatean fuzzy sets (CFFSs), and some of their basic operational laws and their corresponding operators, which can represent the time-periodic problems and two-dimensional information in a single set. We introduce various novel methods, namely complex Fermatean fuzzy Einstein weighted geometric (CFFEWG) operator, complex Fermatean fuzzy Einstein ordered weighted geometric (CFFEOWG) operator, complex Fermatean fuzzy Einstein hybrid geometric (CFFEHG) operator, induced complex Fermatean fuzzy Einstein ordered weighted geometric (I-CFFEOWG) operator, and induced complex Fermatean fuzzy Einstein hybrid geometric (I-CFFEHG) operator along with their structure properties, such as idempotency, boundedness and monotonicity. An illustrative example related to the selection of the more suitable location for hospital is to be considered to show the effectiveness and efficiency of the novel approach.

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“…Liu et al [29] presented the idea of complex q-rung orthopair fuzzy sets and developed several aggregation operators using the proposed model. Some related work is found in [34][35][36][37]. Ali et al [38] introduced several complex interval-valued Pythagorean fuzzy geometric aggregation operators and their application to decision making problems.…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by [39], where the authors developed several arithmetic aggregation operators, such as the CPyFWA operator, the CPyFOWA operator, the CPyFHA operator, versal set ¥ as: tors using the proposed model. Some related work is found in [34][35][36][37]. Ali et al [38] introduced several complex interval-valued Pythagorean fuzzy geometric aggregation operators and their application to decision making problems.…”

Section: Introductionmentioning

confidence: 99%

Geometric Aggregation Operators for Solving Multicriteria Group Decision-Making Problems Based on Complex Pythagorean Fuzzy Sets

et al. 2023

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The Complex Pythagorean fuzzy set (CPyFS) is an efficient tool to handle two-dimensional periodic uncertain information, which has various applications in fuzzy modeling and decision making. It is known that the aggregation operators influence decision-making processes. Algebraic aggregation operators are the important and widely used operators in decision making techniques that deal with uncertain problems. This paper investigates some complex Pythagorean fuzzy geometric aggregation operators, such as complex Pythagorean fuzzy weighted geometric (CPyFWG), complex Pythagorean fuzzy ordered weighted geometric (CPyFOWG), complex Pythagorean fuzzy hybrid geometric (CPyFHG), induced complex Pythagorean fuzzy ordered weighted geometric (I-CPyFOWG), and induced complex Pythagorean fuzzy hybrid geometric (I-CPyFHG), and their structure properties, such as idempotency, boundedness, and monotonicity. In addition, we compare the proposed model with their existing models, such as complex fuzzy set and complex intuitionistic fuzzy set. We analyze an example involving the selection of an acceptable location for hospitals in order to demonstrate the effectiveness, appropriateness, and efficiency of the novel aggregation operators.

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Complex Cubic Fuzzy Aggregation Operators With Applications in Group Decision-Making

Cited by 13 publications

References 49 publications

Some Complex Pythagorean Fuzzy Einstein Geometric Aggregation Operators and their Application in Decision-Making Process

Some Complex Pythagorean Fuzzy Einstein Geometric Aggregation Operators and their Application in Decision-Making Process

Complex Fermatean Fuzzy Geometric Aggregation Operators and Their Application on Group Decision-Making Problem Based on Einstein T-Norm and T-Conorm

Geometric Aggregation Operators for Solving Multicriteria Group Decision-Making Problems Based on Complex Pythagorean Fuzzy Sets

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