A Novel Approach of Complex Dual Hesitant Fuzzy Sets and Their Applications in Pattern Recognition and Medical Diagnosis

Rehman, Ubaid ur; Mahmood, Tahir; Ali, Zeeshan; Panityakul, Thammarat

doi:10.1155/2021/6611782

Cited by 12 publications

(4 citation statements)

References 33 publications

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“…Complex hesitant FSs (CHFSs) and their applications to DM with various and creative distance measures (DM) were denoted by Garg et al [21]. An innovative method for complex dual hesitant FSs (CDHFSs) and their applications in pattern recognition (PR) and medical diagnosis (MD) were started by Rehman et al [22]. The DM algorithm and new CF N-soft sets were introduced by Mahmood et al [23].…”

Section: Introductionmentioning

confidence: 99%

Analysis and Applications of Bipolar Complex Fuzzy Soft Power Dombi Aggregation Operators for Robot Selection in Artificial Intelligence

Jaleel,

Mahmood,

Albaity

2024

IEEE Access

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AI-powered robots contain many sensors, such as vision devices like 2D/3D cameras, vibration sensors, proximity sensors, accelerometers, and other environmental sensors. These sensors enable real-time sensing data to be obtained and analyzed. Here, the discussion of robot selection AI-field. In this work, we aim to examine AI robotic systems based on a bipolar complex fuzzy soft set (BCFSS) with Power dombi aggregation operators (PDAO). Moreover, we aim to examine BCFS power dombi average AOs and BCFS power dombi geometric AOs. Three BCFS power dombi average (PDA) AOs are identified in this work, namely the BCFS power dombi weighted average (BCFSPDWA) AO, BCFS power dombi hybrid average (BCFSPDHA) AO and BCFS power dombi ordered weighted average (BCFSPDOWA) AO. Likewise, three types of BCFS power dombi geometric AOs have been identified, namely: BCFS power dombi weighted geometric (BCFSPDWG) AO, BCFS power dombi order-weighted geometric (BCFSPDOWG) AO and BCFS power dombi hybrid geometric (BCFSPDHG) AO. Subsequently, we will propose a numerical model for the proposed operators, as well as a multi-attribute decision-making (MADM) model that can be used to select the best robot in AI. Finally, we will compare the results of the numerical model with the prevailing outcomes in terms of supremacy and dominance.INDEX TERMS Bipolar complex fuzzy soft set, fuzzy set, MADM method, power dombi aggregation operators, soft set.

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Section: Introductionmentioning

confidence: 99%

Analysis and Applications of Bipolar Complex Fuzzy Soft Power Dombi Aggregation Operators for Robot Selection in Artificial Intelligence

Jaleel,

Mahmood,

Albaity

2024

IEEE Access

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“…Mahmood et al [43] propounded exponential and non-exponential SMs for CHFSs. Ur Rehman et al [44] interpreted complex dual HFS (CDHFS).…”

Section: Introductionmentioning

confidence: 99%

The Generalized Similarity Measures Based on Complex Interval-Valued Hesitant Fuzzy Sets and Their Applications in Pattern Recognition and Medical Diagnosis

Fang,

Rehman,

Mahmood

et al. 2023

IEEE Access

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In this study, we investigate a novel conception called complex interval-valued hesitant fuzzy set (CIvHFS) as the modification of some prevailing conceptions such as interval-valued complex fuzzy set (IvCFS) and interval-valued hesitant fuzzy set (IvHFS), to tickle the data or information which have intricate and haziness in the genuine life dilemmas. The CIvHFS carries the membership grade in the model of a finite subset of numerous interval values which contains in the unit disc of a complex plane. We also propound the operational laws of the investigated conception. Further, we establish certain vector similarity measures (VSMs) and weighted VSMs (WVSMs) in the setting of CIvHFS, including the Jaccard similarity measure (JSM), Dice similarity measure (DSM), and Cosine SM (CSM), et al. Along with this, we also investigate hybrid VSM and weighted hybrid VSM relying on the CIvHFS. Moreover, we present some CIvHFS generalized exponential and non-exponential based SMs. To portray the usefulness and advantages of the developed SMs in genuine life, we employ these SMs to solve pattern recognition and medical diagnosis. Finally, to assess the dependability and rationality of the developed SMs, we compare the investigated SMs with certain prevailing SMs.INDEX TERMS Complex interval-valued hesitant fuzzy set; similarity measures; pattern recognition; medical diagnosis.

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“…Cubic bipolar fuzzy sets with applications to multi-criteria group decision-making using geometric aggregation operators were established by Riaz and Tehrim [29]. Rehman et al [30] proposed a new approach of complex dual hesitant fuzzy sets. A novel discussion in [31,32], is more effective to interpret the importance of our approach.…”

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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A Novel Approach of Complex Dual Hesitant Fuzzy Sets and Their Applications in Pattern Recognition and Medical Diagnosis

Cited by 12 publications

References 33 publications

Analysis and Applications of Bipolar Complex Fuzzy Soft Power Dombi Aggregation Operators for Robot Selection in Artificial Intelligence

Analysis and Applications of Bipolar Complex Fuzzy Soft Power Dombi Aggregation Operators for Robot Selection in Artificial Intelligence

The Generalized Similarity Measures Based on Complex Interval-Valued Hesitant Fuzzy Sets and Their Applications in Pattern Recognition and Medical Diagnosis

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

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