Complex Pythagorean Dombi fuzzy operators using aggregation operators and their <scp>decision‐making</scp>

Akram, Muhammad; Khan, Ayesha; Saeid, Arsham Borumand

doi:10.1111/exsy.12626

Cited by 62 publications

(40 citation statements)

References 38 publications

(41 reference statements)

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“…Dombi [60] designated Dombi operators with flexible operational variables. In solving the DM problems, many researchers used Dombi operations of IFS [61], Pythagorean fuzzy [62][63][64], PF [66], bipolar fuzzy [65], spherical fuzzy [67], complex Pythagorean [68], and CSF [69].…”

Section: Introductionmentioning

confidence: 99%

Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making

Karaaslan

Dawood

2021

Complex Intell. Syst.

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Complex fuzzy (CF) sets (CFSs) have a significant role in modelling the problems involving two-dimensional information. Recently, the extensions of CFSs have gained the attention of researchers studying decision-making methods. The complex T-spherical fuzzy set (CTSFS) is an extension of the CFSs introduced in the last times. In this paper, we introduce the Dombi operations on CTSFSs. Based on Dombi operators, we define some aggregation operators, including complex T-spherical Dombi fuzzy weighted arithmetic averaging (CTSDFWAA) operator, complex T-spherical Dombi fuzzy weighted geometric averaging (CTSDFWGA) operator, complex T-spherical Dombi fuzzy ordered weighted arithmetic averaging (CTSDFOWAA) operator, complex T-spherical Dombi fuzzy ordered weighted geometric averaging (CTSDFOWGA) operator, and we obtain some of their properties. In addition, we develop a multi-criteria decision-making (MCDM) method under the CTSF environment and present an algorithm for the proposed method. To show the process of the proposed method, we present an example related to diagnosing the COVID-19. Besides this, we present a sensitivity analysis to reveal the advantages and restrictions of our method.

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Section: Introductionmentioning

confidence: 99%

Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making

Karaaslan

Dawood

2021

Complex Intell. Syst.

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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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“…Thus, the principle of CQROFSs is extensively modified than prevailing ideas such as CIFSs and CPFSs. The study related to the Maclaurin and Dombi aggregation operators for the pairs of the CQROFS and CPFS has been presented by the researchers in References [45][46][47]. However, in [48], authors have defined the concept of the CQROULS ("complex q-rung orthopair uncertain linguistic set") by utilizing the features of CQORFS and uncertain linguistic variable set.…”

Section: Introductionmentioning

confidence: 99%

“…For more detailed study about the theory of CQROFS, we refer to read the articles. 45,[47][48][49][50] To examine the interrelationship between any number of arguments, numerous scholars have utilized the theory of hybrid operators in the environment of separated areas. For instance, a concept of Bonferroni, 26 Heronian, 24 and Maclaurin symmetric mean 22 are well utilized by the authors to aggregate the information with the consideration of the interrelation between the pairs of the arguments.…”

Section: Introductionmentioning

confidence: 99%

Neutrality aggregation operators based on complex q‐rung orthopair fuzzy sets and their applications in multiattribute decision‐making problems

et al. 2021

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Complex q-rung orthopair fuzzy sets (CQROFSs) are proposed to convey vague material in decision-making problems. The CQROFSs can enthusiastically modify the region of proof by altering the factor  q 1 for real and imaginary parts based on the variation degree and, therefore, favor further uncountable options. Consequently, this set reverses over the existing theories, such as complex intuitionistic fuzzy sets (CIFSs) and complex Pythagorean fuzzy sets (CPFS). In everyday . To resolve such types of complications, the PFS theory was GARG ET AL.| 1011 modified into the complex q-rung orthopair fuzzy sets (QROFS) theory by Yager 19 to better manage complicated and unreliable. QROFS covers the truth and falsity degrees whose sum of the q-powers of the duplet is restricted to the unit interval. Then the above sort of information is easily solved by QROFSs such that  0.

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Complex Pythagorean Dombi fuzzy operators using aggregation operators and their decision‐making

Cited by 62 publications

References 38 publications

Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making

Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making

A Hybrid Method for Complex Pythagorean Fuzzy Decision Making

Neutrality aggregation operators based on complex q‐rung orthopair fuzzy sets and their applications in multiattribute decision‐making problems

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