Complex Cubic Intuitionistic Fuzzy Set and Its Decision Making

Chinnadurai, V.; Thayalan, S.; Bobin, A.

doi:10.37418/amsj.9.10.27

Cited by 4 publications

(5 citation statements)

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“…Definition 11 (see [37]). A complex cubic intuitionistic fuzzy set (CoCIFS) _ F on a universe Ǚ is defined by…”

Section: Preliminariesmentioning

confidence: 99%

“…Zhou et al [36] used CoCF aggregation operators in group decision-making. Chinnadurai et al [37] presented the notion of complex cubic intuitionistic fuzzy set (CoCIFS) which is a combination of complex cubic membership values and complex cubic nonmembership values and define some related operations on these sets. Rani and Garg [38] proposed an application of complex intuitionistic fuzzy preference relation and their application in individual and group decision-making.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Risks and Security of E-Commerce by Using the Novel Concepts of Complex Cubic Picture Fuzzy Information

Gwak

Jan

Maqsood

et al. 2022

Journal of Function Spaces

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Digital technology is so broad today as to encompass almost everything. It eases the difficulties of day-to day life with internet. E-commerce plays an important role in digital age of technology. Instead of many benefits of online system, it faces many types of threats. Sometime, choosing the best e-commerce security has a lot of uncertainties and ambiguities to reduce the effect of threats. To reduce these uncertainties, this article developed a new concept of complex cubic picture fuzzy set (CoCPFS) of fuzzy algebra that explains the positive effect, neutral effect, and negative effect of any object and additionally discussed the Cartesian product between two CoCPFSs, CoCPF relations, and their types. The relationship among the e-commerce securities and threats is investigated for the first time in the history of fuzzy algebra. These relations show the ways of disabling the effects of a threat by an effective security technique. Furthermore, the advantages and benefits of CoCPFS are explained through comparison tests with preexisting frameworks of fuzzy sets.

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“…Definition 11 (see [37]). A complex cubic intuitionistic fuzzy set (CoCIFS) _ F on a universe Ǚ is defined by…”

Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Risks and Security of E-Commerce by Using the Novel Concepts of Complex Cubic Picture Fuzzy Information

Gwak

Jan

Maqsood

et al. 2022

Journal of Function Spaces

View full text Add to dashboard Cite

show abstract

“…These events encompass numerous fuzzy variables that are related in a way that conventional fuzzy operations are unable to sufficiently identify. The notions of Complex Intuitionistic Fuzzy Set (CIFS) and complex cubic intuitionistic fuzzy set were defined in [31,32]. Dynamic aggregation operators on CIF was presented in [33].…”

Section: Introductionmentioning

confidence: 99%

“…Frank aggregation operators on CIFS was proposed in [34]. Chinnadurai et al [35] designed the operations of the complex Interval-valued Pythagorean fuzzy sets. Akram et al [36] introduced a novel decision making approach based on Complex Pythagorean Fuzzy Set (CPFS) theory.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Aggregation Operators for Optimal Biometric-Based Attendance Device Selection Under Complex Fermatean Fuzzy Environment

Alghazzawi,

Razaq,

Komal

et al. 2024

IEEE Access

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Selecting the right Biometric-Based Attendance Device (BBAD) is pivotal for enhancing security, operations, and compliance in today's dynamic environment of identity authentication. Addressing the complexities arising from uncertainty and periodicity, the Complex Fermatean Fuzzy Set (CFFS) theory emerges as adept, encapsulating comprehensive problem specifications. This study introduces two innovative aggregation operators within the CFFS framework: the Complex Fermatean Fuzzy Dynamic Weighted Averaging (CFFDWA) and the Complex Fermatean Fuzzy Dynamic Weighted Geometric (CFFDWG) operators. Some important characteristics of the newly defined operators are established. The shortcomings in the existing score function are rectified along with the introduction of a novel enhanced score function under complex Fermatean fuzzy environment. Moreover, these operators contribute to a methodical framework for managing Multiple Attribute Decision Making (MADM) problems that involve complex Fermatean fuzzy information. The article exemplifies their application in resolving a MADM problem, determining the optimal model of BBAD. Finally, to validate the derived methodologies, a thorough comparison study is carried out, demonstrating the superiority of the presented operators against various existing operators.

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“…They can be used to model uncertainty in complex systems and make more accurate predictions and decisions based on incomplete or uncertain information. Chinnadurai et al [11,12] studied the concepts of complex cubic interval-valued intuitionistic fuzzy sets and complex cubic intuitionistic fuzzy sets in a multi-criteria decision-making processes. Complex cubic fuzzy information was used in international trade [13], and complex Pythagorean fuzzy sets with their application are presented in [14].…”

Section: Introductionmentioning

confidence: 99%

Innovative discussion of decision-making model based on complex cubic picture fuzzy information and geometric aggregation operators with applications

Tanoli,

Gulistan,

Amin

et al. 2023

Complex Intell. Syst.

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This article presents a novel concept of complex cubic picture fuzzy sets (CCPFS) and introduces one more new idea of complex interval-valued picture fuzzy sets (CIVPFS) as foundational framework of CCPFS. The proposed CCPFS combines CIVPFS and complex picture fuzzy sets (CPFS), where CPFS extends the complex intuitionistic fuzzy set by incorporating a neutral membership degree. This unique model offers an expanded range of values using degrees of membership, neutral membership, and non-membership, within the unit disk of a complex plane. Additionally, we introduce two more new ideas of internal complex cubic picture fuzzy sets (ICCPFS) and external complex cubic picture fuzzy sets (ECCPFS) to further enhance the versatility of the approach. To facilitate practical applications, complement, score, and accuracy functions are developed and defined for CCPFS. Moreover, three types of averaging aggregation operators based on complex cubic picture fuzzy sets are introduced, including complex cubic picture fuzzy weighted geometric (CCPFWG) operators, complex cubic picture fuzzy ordered weighted geometric (CCPFOWG) operator, and complex cubic picture fuzzy hybrid weighted geometric (CCPFHWG) operator. The CCPFHWG operator generalizes both CCPFWG and CCPFOWG operators, providing a comprehensive framework for aggregating complex cubic picture fuzzy data. To demonstrate the practicality of the proposed approach, a multi-criteria decision-making (MCDM) problem is presented, showcasing its effectiveness in addressing today's complex decision structures. The utilization of complex cubic picture fuzzy sets and the corresponding aggregation operators in MCDM highlights their applicability and relevance in tackling real-world complexities.

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Complex Cubic Intuitionistic Fuzzy Set and Its Decision Making

Cited by 4 publications

References 0 publications

Analysis of Risks and Security of E-Commerce by Using the Novel Concepts of Complex Cubic Picture Fuzzy Information

Analysis of Risks and Security of E-Commerce by Using the Novel Concepts of Complex Cubic Picture Fuzzy Information

Dynamic Aggregation Operators for Optimal Biometric-Based Attendance Device Selection Under Complex Fermatean Fuzzy Environment

Innovative discussion of decision-making model based on complex cubic picture fuzzy information and geometric aggregation operators with applications

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