A systematic review of complex fuzzy sets and logic

Yazdanbakhsh, Omolbanin; Dick, Scott

doi:10.1016/j.fss.2017.01.010

Cited by 179 publications

(74 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We could also investigate complex fuzzy sets ( [63]) instead of ordinary fuzzy sets that have given good results using an adaptive scheme in the case of the bivariate time series with small dataset.…”

Section: Resultsmentioning

confidence: 99%

A New Fuzzy Logic-Based Similarity Measure Applied to Large Gap Imputation for Uncorrelated Multivariate Time Series

Phan

Bigand

Caillault

2018

Applied Computational Intelligence and Soft Computing

View full text Add to dashboard Cite

The completion of missing values is a prevalent problem in many domains of pattern recognition and signal processing. Analyzing data with incompleteness may lead to a loss of power and unreliable results, especially for large missing subsequence(s). Therefore, this paper aims to introduce a new approach for filling successive missing values in low/uncorrelated multivariate time series which allows managing a high level of uncertainty. In this way, we propose using a novel fuzzy weighting-based similarity measure. The proposed method involves three main steps. Firstly, for each incomplete signal, the data before a gap and the data after this gap are considered as two separated reference time series with their respective query windows and . We then find the most similar subsequence ( ) to the subsequence before this gap and the most similar one ( ) to the subsequence after the gap . To find these similar windows, we build a new similarity measure based on fuzzy grades of basic similarity measures and on fuzzy logic rules. Finally, we fill in the gap with average values of the window following and the one preceding . The experimental results have demonstrated that the proposed approach outperforms the state-of-the-art methods in case of multivariate time series having low/noncorrelated data but effective information on each signal.

show abstract

Section: Resultsmentioning

confidence: 99%

A New Fuzzy Logic-Based Similarity Measure Applied to Large Gap Imputation for Uncorrelated Multivariate Time Series

Phan

Bigand

Caillault

2018

Applied Computational Intelligence and Soft Computing

View full text Add to dashboard Cite

show abstract

“…This operation is called the implication method through which a fuzzy set of output by giving a number for each input. Then, the aggregation process is applied to join membership functions of each rule and get one output fuzzy set (Yazdanbakhsh and Dick, 2017). The final phase is defuzzification method which converts the output fuzzy set into a crisp value using Center Of Area method (COA) which is the most common defuzzification method (Swaroop and Abdulqader, 2012).…”

Section: Figure (1)mentioning

confidence: 99%

The Prediction of Solar Radiation Using Fuzzy Logic: a Case Study

MOHAMMED

2018

juod

View full text Add to dashboard Cite

Solar energy is used in many applications such as producing agricultural food, renewable energy, and heating and lighting systems… etc. Nowadays, countries all over the world, especially the developing countries are facing a great challenge which is providing sustainable energy for consumers. Electricity is the most common type of energy that is used by consumers in which oil or nuclear power is used to produce sufficient amount of electricity for the constant increase of the population in the present. However, both oil and nuclear energy negatively affect the global warming; therefore, solar energy is aspired by many countries to decrease the effects of the global warming and produce renewable sources of energy. The aim of this study is to predict the use of solar radiation for solar energy to produce electricity in Duhok city due to the fact that "national electricity" is not enough for the great number of consumers; as a result, people depend on "local or private generators" which mainly depend on oil to produce electricity. Fuzzy logic approach is used to estimate the solar radiation. The four fuzzy systems are created using the available data in Duhok City in 2016. Daily observations for temperature, humidity and wind speed for four seasons are analyzed to estimate the solar radiation. The predicted outputs of fuzzy logic system are compared with the actual solar radiation. In addition, the fuzzy system approach is evaluated using Mean Absolute Percentage Error (MAPE) and Absolute Percentage Error (APE). The outcomes of MAPE and APE are 5. 86%, 1.54%, 2.76% and 1.52 for four seasons (winter, summer, spring and fall), respectively. According to the results, the performance of fuzzy system is reasonably effective in predicting the solar radiation.

show abstract

“…Later on, Greenfield, Chiclana, and Dick () extended the concept of CFS by taking the grade of the membership function as an interval‐number rather than single numbers. Yazdanbakhsh and Dick () conducted a systematic review of CFSs and logic and discussed its applications.…”

Section: Introductionmentioning

confidence: 99%

Complex intuitionistic fuzzy power aggregation operators and their applications in multicriteria decision‐making

2018

View full text Add to dashboard Cite

The objective of this manuscript is to present some aggregation operators for aggregating the different complex intuitionistic fuzzy (CIF) sets by considering the dependency between the pairs of its membership degrees. In the existing studies of fuzzy and its extensions, the uncertainties present in the data are handled with the help of degrees of membership that are the subset of real numbers, which may lose some useful information and hence consequently affect the decision results. A modification to these, complex intuitionistic fuzzy set handles the uncertainties with the degrees whose ranges are extended from real subset to the complex subset with unit disc and hence handle the two‐dimensional information in a single set. Thus, motivated by this, we developed some new power aggregation operators, namely, CIF power averaging, CIF weighted power averaging, CIF ordered weighted power averaging, CIF power geometric, CIF weighted power geometric, and CIF ordered weighted power geometric. Also, some of the desirable properties of these are investigated. Further, based on these operators, a multicriteria decision‐making approach is presented under the CIF set environment. An illustrative example related to the selection of the best alternative(s) is considered to demonstrate the efficiency of the proposed approach and is validated it by comparing their results with the several existing approaches results.

show abstract

A systematic review of complex fuzzy sets and logic

Cited by 179 publications

References 57 publications

A New Fuzzy Logic-Based Similarity Measure Applied to Large Gap Imputation for Uncorrelated Multivariate Time Series

A New Fuzzy Logic-Based Similarity Measure Applied to Large Gap Imputation for Uncorrelated Multivariate Time Series

The Prediction of Solar Radiation Using Fuzzy Logic: a Case Study

Complex intuitionistic fuzzy power aggregation operators and their applications in multicriteria decision‐making

Contact Info

Product

Resources

About