Differential calculus of interval‐valued
            <i>q</i>
            ‐rung orthopair fuzzy functions and their applications

Gao, Jie; Zhang, Xu

doi:10.1002/int.22190

Cited by 23 publications

(5 citation statements)

References 25 publications

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“…(3) Information measures: Peng [33] introduced some information measure of q-ROFS, Wang [34] introduced the similarity measure of q-ROFS and Liu [35] also introduced the cosine similarity measure, Du [36,37] investigated the distance measures and correlation coefficient of q-ROFSs, respectively. (4)Some studied related to analysis: Shu [38], Gao [39,40] investigated the integrations, derivatives, differentials and differential calculus in q-ROFSs, respectively. (5) Some extensions of q-ROFSs: the extensions of q-ROFSs are focused on interval-valued q-ROFS [41], linguistic q-ROFSs [42,43,44,45], uncertain linguistic q-ROFSs [46,47,63] and 2-tuple linguistic set under q-ROF environment [48].…”

Section: Literature Reviewmentioning

confidence: 99%

Banzhaf–Choquet-copula-based aggregation operators for managing q-rung orthopair fuzzy information

et al. 2021

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Information fusion of fuzzy numbers has played a vital role in the decision support systems under the environment of q-rung orthopair fuzzy set (q-ROFS), which is an effective extension of intuitionisitic fuzzy set (IFS) and fuzzy set (FS). The goals of the present work are to build a family of new aggregation operators (AOs) under q-ROF environment and apply them to MADM problems. First, the extended Archimedean coupla (EAC) and extended Archimedean co-coupla (EACC) are proposed to handle q-ROF information, consequently, the operational law of q-ROFNs are defined based on EAC and EACC. In order to comprehensively consider the relationship between attributes, the q-rung orthopair fuzzy Banzhaf Choquet-Copula AOs (BCCA q ) and q-rung orthopair fuzzy Banzhaf Choquet-Copula geometric operators (BCCG q ) are introduced on the basis of the operation of q-rung orthopair fuzzy numbers (q-ROFNs); Consequently, some special cases of BCCA q /BCCG q operators are investigated when the generators of coupla take differen-

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Section: Literature Reviewmentioning

confidence: 99%

Banzhaf–Choquet-copula-based aggregation operators for managing q-rung orthopair fuzzy information

et al. 2021

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“…Wang et al [16] incorporated the concept of IVq r OFSs into aggregation operators (AOs) and demonstrated various valuable results and implications of their diagnosed methodologies. Gao and Xu [17] presented the concept of interval-valued q-rung orthopair fuzzy (IVq r OF) functions based on the theoretical foundation of IVq r OFSs. They further examined the continuity, derivatives, and differentials of these functions.…”

Section: Introductionmentioning

confidence: 99%

Interval-Valued p,q-Rung Orthopair Fuzzy Exponential TODIM Approach and Its Application to Green Supplier Selection

Ali,

Khan

2023

Symmetry

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An interval-valued q-rung orthopair fuzzy set (IVqrOFS) is a robust and esteemed model in managing imprecise information, utilizing a controllable parameter q≥1. Expanding its applicability, we propose a refinement to it, termed the interval-valued p,q-rung orthopair fuzzy set, denoted IVp,qrOFS. This advancement enables the handling of scenarios where varied assessment levels for membership and non-membership grades are necessary, a challenge unaddressed by existing extensions of interval-valued intuitionistic fuzzy sets. We establish the fundamental mathematical operations for the IVp,qrOFS and explore their key properties. To compare interval-valued p,q-rung orthopair fuzzy (IVp,qrOF) numbers, a novel score function is put forward and compared to the known IVqrOFS-based score functions to determine its viability. Moreover, we present IVp,qrOF aggregation operators (AOs), accompanied by rigorous proof of their essential characteristics, including boundedness, monotonicity, and symmetry. This study introduces the interaction of IVp,qrOF criteria through the inter-criteria correlation (CRITIC) approach. This method determines criteria weights based on the proposed distance measurements and the score function. The CRITIC method is integrated with the exponential TODIM approach (exp-TODIM), resulting in an innovative decision-making framework that is less susceptible to parameter fluctuations and showcases a high stability. An illustrative example of selecting a suitable supplier is provided to demonstrate the practical application of the developed exp-TODIM approach. Finally, a sensitivity analysis is conducted to exhibit the method’s stability, and a comparative analysis is performed to elucidate its strengths and advantages.

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“…24 The paper addresses this issue by proposing a mechanism based on two fuzzy logic controllers (FLCs) for energy-efficient communication. Fuzzy logic is commonly exploited in decision making [25][26][27] and optimization techniques, 28,29 as it can deal with fuzzy information. In the proposed mechanism, fuzzy rules are established to optimize the power consumption without detriment to quality of service (QoS).…”

Section: Introductionmentioning

confidence: 99%

A fuzzy control system for energy‐efficient wireless devices in the Internet of vehicles

et al. 2021

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Embedded systems are common in the Internet of Things domain: their integration in vehicles and mobile devices is being fostered in the Internet of vehicles (IoV). IoV has direct applications on intelligent transportation systems and smart cities. Besides basic requirements, such as ease of installation, cost-effectiveness, scalability, and flexibility, IOV applications need to guarantee energyefficient and good-quality communication. In fact, IoV implementations are commonly based on wireless nodes, which rely on a limited energy source; therefore, an efficient communication among the nodes is desirable to prolong the lifetime of the devices. In particular, the alternation of active and sleep states and the regulation of the transmission power represent two common approaches to save energy. Based on this strategy, an effective fuzzy control system is presented in the paper to manage power consumption and quality of services of IoV applications. Two fuzzy controllers increase the battery life while keeping a good throughput to workload ratio. This technique has been simulated with two leading technologies in IoV: IEEE 802.11b/g/n and IEEE 802.11p. Experimental results show a network lifetime improvement ranging from 30% to 40%, according to the adopted medium access control protocol.

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Differential calculus of interval‐valued q ‐rung orthopair fuzzy functions and their applications

Cited by 23 publications

References 25 publications

Banzhaf–Choquet-copula-based aggregation operators for managing q-rung orthopair fuzzy information

Banzhaf–Choquet-copula-based aggregation operators for managing q-rung orthopair fuzzy information

Interval-Valued p,q-Rung Orthopair Fuzzy Exponential TODIM Approach and Its Application to Green Supplier Selection

A fuzzy control system for energy‐efficient wireless devices in the Internet of vehicles

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