Fundamental Properties With Respect to the Completeness of Intuitionistic Fuzzy Partially Ordered Set

Ai, Zhenghai; Zhang, Xu; Lei, Qian

doi:10.1109/tfuzz.2016.2633369

Cited by 20 publications

(15 citation statements)

References 20 publications

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“…Therefore, the set is more accurate concerning the description of uncertain and incomplete information. Intuitionistic fuzzy sets can be defined according to the following [26].…”

Section: Intuitionistic Fuzzy Time Petri Netsmentioning

confidence: 99%

Power Grid Fault Diagnosis Method Using Intuitionistic Fuzzy Petri Nets Based on Time Series Matching

Tan

Chen

et al. 2019

Complexity

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To improve the reliability of power grid fault diagnosis by enhancing the processing ability of uncertain information and adequately utilizing the alarm information about power grids, a fault diagnosis method using intuitionistic fuzzy Petri Nets based on time series matching is proposed in this paper. First, the alarm hypothesis sequence and the real alarm sequence are constructed using the alarm information and the general grid protection configuration model, and the similarity of the two sequences is used to calculate the timing confidence. Then, an intuitionistic fuzzy Petri Nets fault diagnosis model, with an excellent ability to process uncertain information from intuitionistic fuzzy sets, is constructed, and the initial place value of the model is corrected by the timing confidence. Finally, an application of the fault diagnosis model for the actual grid is established to analyze and verify the diagnostic results of the new method. The results for some test cases show that the new method can improve the accuracy and fault tolerance of fault diagnosis, and, furthermore, the abnormal state of the component can be inferred.

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“…Therefore, the set is more accurate concerning the description of uncertain and incomplete information. Intuitionistic fuzzy sets can be defined according to the following [26].…”

Section: Intuitionistic Fuzzy Time Petri Netsmentioning

confidence: 99%

Power Grid Fault Diagnosis Method Using Intuitionistic Fuzzy Petri Nets Based on Time Series Matching

Tan

Chen

et al. 2019

Complexity

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“…However, the above‐mentioned credit risk evaluation methods rely too much on the subjectivity of experts . Even if the uncertainty and ambiguity of expert judgment are considered to some extent, it is impossible to express the hesitation of experts on the evaluation of various credit risk evaluation indicators . Based on this, the hesitation of decision makers is introduced into the decision system, and the theory of intuitionistic fuzzy sets is proposed and widely applied .…”

Section: Introductionmentioning

confidence: 99%

“…Even if the uncertainty and ambiguity of expert judgment are considered to some extent, it is impossible to express the hesitation of experts on the evaluation of various credit risk evaluation indicators . Based on this, the hesitation of decision makers is introduced into the decision system, and the theory of intuitionistic fuzzy sets is proposed and widely applied . Xu et al proposed an intuitionistic fuzzy analytic hierarchy process (IFAHP) with fuzzy analytic hierarchy process (FAHP).…”

Section: Introductionmentioning

confidence: 99%

A credit risk evaluation based on intuitionistic fuzzy set theory for the sustainable development of electricity retailing companies in China

Tan

et al. 2019

Energy Science & Engineering

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As China's power market becomes more orderly, electricity retailing companies are influenced by multiple factors restricting their healthy, stable, and sustainable development. This paper explores these issues through four dimensions, the external basic environment, operating credit risk, financial credit risk, and transaction credit risk, and determines the credit risk evaluation index system, which includes 22 factors relevant to electricity retailing companies. To achieve this, this paper utilizes the characteristics of the intuitionistic fuzzy set theory and, in an uncertain environment, the proposed credit risk assessment model based on the intuitionistic fuzzy analytic hierarchy process (IFAHP). In order to improve the identification degree of the credit risk evaluation of electricity retailing companies, a penalty factor is introduced into the model, and the variable weight mechanism of dynamic adjustment hesitancy is proposed. Finally, we select five electricity retailing companies and use different evaluation methods to conduct a comprehensive credit risk evaluation, so as to improve the credit risk level of electricity retailing companies.

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“…More recently, the scholars have investigated a series of fundamental properties with respect to the intuitionistic fuzzy calculus (IFC) [16][17][18][19][20][21][22]; the key characteristic of the IFC is that it is based on the basic operational laws of intuitionistic fuzzy numbers (IFNs). With these operational laws, Lei and Xu [16] introduced the limits, the derivatives, and the differentials in intuitionistic fuzzy circumstance and gave their basic properties.…”

Section: Introductionmentioning

confidence: 99%

Foundation of Interval-Valued Intuitionistic Fuzzy Limit and Differential Theory and an Application to Continuous Data

Shu

Zhang

2019

Complexity

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The intuitionistic fuzzy calculus (IFC), based on the basic operational laws of intuitionistic fuzzy numbers (IFNs), has been put forward. However, the interval-valued IFC (IVIFC), based on the basic operational laws of interval-valued IFNs (IVIFNs), is only in the original stage. To further develop the theory of the IVIFC and make it be rigorous, the primary task is to systematically investigate the characteristics of the limits and differentials, which is a foundation of the IVIFC. Moreover, there is quite a lot of literature on IVIFNs; however, the scholars did not reveal the relationships between IFNs and the IVIFNs. To do that, we first investigate the limit of interval-valued intuitionistic fuzzy sequences, and then, we focus on investigating the limit, the continuity, and the differential of IVIFFs in detail and reveal their relationships. After that, due to the fact that the IFC and the IVIFC are based on the basic operational laws of IFNs and IVIFNs, respectively, we reveal the relationships between the IFNs and the IVIFNs via some homomorphic mappings. Finally, a case study about continuous data of IVIFNs is provided to illustrate the advantages of continuous data.

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Fundamental Properties With Respect to the Completeness of Intuitionistic Fuzzy Partially Ordered Set

Cited by 20 publications

References 20 publications

Power Grid Fault Diagnosis Method Using Intuitionistic Fuzzy Petri Nets Based on Time Series Matching

Power Grid Fault Diagnosis Method Using Intuitionistic Fuzzy Petri Nets Based on Time Series Matching

A credit risk evaluation based on intuitionistic fuzzy set theory for the sustainable development of electricity retailing companies in China

Foundation of Interval-Valued Intuitionistic Fuzzy Limit and Differential Theory and an Application to Continuous Data

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