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Higher order fuzzy entropy and hybrid entropy of a set

N.R. Pal, S.K. Pal
1992 Information Sciences  
New entropy measures such as higher order fuzzy entropy and hybrid e:ntropy of a set have been introduced. Various properties along with their proofs have: been included.  ...  Applicability of these new measures to various problems has been highlighted.  ...  CONCLUSIONS New entropy measures such as higher-order fuzzy entropy and hybrid entropy of a set have been introduced.  ... 
doi:10.1016/0020-0255(92)90051-9 fatcat:kkks2lvjrrcadadovvoqwurot4

Hybrid Multiattribute Group Decision Making Based on Intuitionistic Fuzzy Information and GRA Method

Jian Guo
2013 ISRN Applied Mathematics  
Intuitionistic fuzzy entropy is utilized to obtain the entropy weights of the criteria, respectively.  ...  In the end, a numerical example illustrates the validity and applicability of the proposed method.  ...  Entropy as a measure of the fuzziness of a fuzzy set was first mentioned by Zadeh [69] .  ... 
doi:10.1155/2013/146026 fatcat:tzcdhwyqkzg67anls7zrmzhmhi

A Hybrid Tourism Demand Forecasting Model Based on Fuzzy Times Series

Yao LI, Han CAO, Hai-Yan MENG
2017 DEStech Transactions on Computer Science and Engineering  
Based on fuzzy time series model and grey model, this paper proposed a hybrid model which has been optimized by entropy and Markov model.  ...  In this hybrid model, the weight is calculated by entropy method which has been used to balance the performance of two single models.  ...  Acknowledgement This work was financially supported by the National Natural Science Foundation of China (No.41271387).  ... 
doi:10.12783/dtcse/aics2016/8192 fatcat:5wkhfzwpnjeqdlc5ne74ssn6em

A Mean-Variance Hybrid-Entropy Model for Portfolio Selection with Fuzzy Returns

Rongxi Zhou, Yu Zhan, Ru Cai, Guanqun Tong
2015 Entropy  
uncertainty, and propose a mean-variance hybrid-entropy model (MVHEM).  ...  Abstracts: In this paper, we define the portfolio return as fuzzy average yield and risk as hybrid-entropy and variance to deal with the portfolio selection problem with both random uncertainty and fuzzy  ...  Conflicts of Interest The authors declare no conflict of interest.  ... 
doi:10.3390/e17053319 fatcat:nfth3ovajnfotorg3okbk6u2ke

Fuzzy Shannon Entropy: A Hybrid GIS-Based Landslide Susceptibility Mapping Method

Majid Shadman Roodposhti, Jagannath Aryal, Himan Shahabi, Taher Safarrad
2016 Entropy  
Here we show the application of hybrid GIS-based LSM. The hybrid approach embraces fuzzy membership functions (FMFs) in combination with Shannon entropy, a well-known information theory-based method.  ...  A random split into training (≈70%) and testing (≈30%) samples are used for training and validation of the LSM model.  ...  All authors have read and approved the final manuscript. Conflicts of Interest: The authors declare no conflict of interest. Entropy 2016, 18, 343  ... 
doi:10.3390/e18100343 fatcat:eouetntbynagrkvsplk6nrxd64

A hybrid intelligent algorithm for portfolio selection problem with fuzzy returns

Xiang Li, Yang Zhang, Hau-San Wong, Zhongfeng Qin
2009 Journal of Computational and Applied Mathematics  
In order to solve these nonlinear optimization models, a hybrid intelligent algorithm is designed by integrating simulated annealing algorithm, neural network and fuzzy simulation techniques, where the  ...  Within the framework of credibility theory, several fuzzy portfolio selection models have been proposed such as mean-variance model, entropy optimization model, chance constrained programming model and  ...  Acknowledgments This work was supported by the National Natural Science Foundation of China Grant No. 60874067 and a grant from the City University of Hong Kong (No. 7002141).  ... 
doi:10.1016/j.cam.2009.07.019 fatcat:h7t5pvoldvannhmkyyl7vzeeem

Page 6619 of Mathematical Reviews Vol. , Issue 92m [page]

1992 Mathematical Reviews  
[Pal, Sankar Kumar] (6-ISI-CM) Higher order fuzzy entropy and hybrid entropy of a set. Inform. Sci. 61 (1992), no. 3, 211-231.  ...  Summary: “New entropy measures such as higher order fuzzy entropy and hybrid entropy of a set are introduced. Various prop- erties along with their proofs are included.  ... 

Distance Based Entropy Measure of Interval-Valued Intuitionistic Fuzzy Sets and Its Application in Multicriteria Decision Making

Tabasam Rashid, Shahzad Faizi, Sohail Zafar
2018 Advances in Fuzzy Systems  
Fuzzy entropy means the measurement of fuzziness in a fuzzy set and therefore plays a vital role in solving the fuzzy multicriteria decision making (MCDM) and multicriteria group decision making (MCGDM  ...  In this study, the notion of the measure of distance based entropy for uncertain information in the context of interval-valued intuitionistic fuzzy set (IVIFS) is introduced.  ...  Introduction In fuzzy set theory, the measurement of the degree of fuzziness in fuzzy sets and other extended higher order fuzzy sets is an important concept in dealing with real world problems.  ... 
doi:10.1155/2018/3637897 fatcat:am53ibll3vfh5el2hocuvp2fz4

Hybrid Multicriteria Group Decision Making Method for Information System Project Selection Based on Intuitionistic Fuzzy Theory

Jian Guo
2013 Mathematical Problems in Engineering  
Intuitionistic fuzzy entropy is used to obtain the entropy weights of the criteria.  ...  The aim of this paper is to develop a hybrid multicriteria group decision making approach based on intuitionistic fuzzy theory for IS project selection.  ...  Acknowledgment This work was supported by the National Natural Science Foundation of China under Grant no. 70901079.  ... 
doi:10.1155/2013/859537 fatcat:tq2byy2dancyvkwcdon6pxvhk4

Information Volume of Fuzzy Membership Function

Jixiang Deng, Yong Deng
2021 International Journal of Computers Communications & Control  
To address this issue, a new information volume of fuzzy membership function is presented in this paper, which includes the first-order and the higher-order information volume.  ...  Two typical fuzzy sets, namely classic fuzzy sets and intuitiontistic fuzzy sets, are studied.  ...  This is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial 4.0 International License.  ... 
doi:10.15837/ijccc.2021.1.4106 fatcat:ykczomwuazcjdkso4jtgocttze

Properties of Risk Measures of Generalized Entropy in Portfolio Selection

Rongxi Zhou, Xiao Liu, Mei Yu, Kyle Huang
2017 Entropy  
Entropy and Sine Entropy in the fuzzy space, and Hybrid Entropy in the hybridized uncertainty of both fuzziness and randomness.  ...  Zhou et al. [21] defined risk as Hybrid Entropy and proposed a mean variance Hybrid Entropy model with both random and fuzzy uncertainty.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/e19120657 fatcat:njciqjpydzcbxe4z5ejsnqxtq4

Information-preserving hybrid data reduction based on fuzzy-rough techniques

Qinghua Hu, Daren Yu, Zongxia Xie
2006 Pattern Recognition Letters  
In this paper, an information measure is proposed to computing discernibility power of a crisp equivalence relation or a fuzzy one, which is the key concept in classical rough set model and fuzzy-rough  ...  Based on the information measure, a general definition of significance of nominal, numeric and fuzzy attributes is presented.  ...  Then we will redefine the dependency of a hybrid attribute set and give unsupervised and supervised reduction algorithms for hybrid data based on the measure.  ... 
doi:10.1016/j.patrec.2005.09.004 fatcat:krhmbjf6crfpbdzjf4cvu4pjky

A New Feature Selection Method based on Intuitionistic Fuzzy Entropy to Categorize Text Documents

M. B. Revanasiddappa, B.S. Harish
2018 International Journal of Interactive Multimedia and Artificial Intelligence  
Moreover, Intuitionistic Fuzzy Set (IFS) property addresses the uncertainty limitations of traditional fuzzy set.  ...  This article presents a new feature selection method based on Intuitionistic Fuzzy Entropy (IFE) for Text Categorization.  ...  A lower value of entropy indicates higher contribution of information in decision making process and larger value of entropy indicate lesser contribution of information.  ... 
doi:10.9781/ijimai.2018.04.002 fatcat:hij3j6qegbe4dnn5sidf4mjgaq

Selecting Green Supplier of Thermal Power Equipment by Using a Hybrid MCDM Method for Sustainability

Huiru Zhao, Sen Guo
2014 Sustainability  
In this paper, a hybrid fuzzy multi-attribute decision making approach (fuzzy entropy-TOPSIS) is proposed for selecting the best green supplier.  ...  The fuzzy set theory is applied to translate the linguistic preferences into triangular fuzzy numbers.  ...  Acknowledgments This study is supported by the National Natural Science Foundation of China (Project number: 71373076) and the Humanities and Social Science project of the Ministry of Education of China  ... 
doi:10.3390/su6010217 fatcat:cfzwo7ou5ngwpajd5oeunwi4ga

A Rough-fuzzy C-means using information entropy for discretized violent crimes data

Chao Yang, Shiyuan Che, Xueting Cao, Yeqing Sun, Ajith Abraham
2013 13th International Conference on Hybrid Intelligent Systems (HIS 2013)  
The efficiency of Rough-fuzzy C-means algorithm is affected by the numbers of clusters, and not all centroids are beneficial.  ...  In this paper, a novel discrete Rough-fuzzy C-means based on information entropy algorithm (DRFCMI) is proposed, which can obtain typical conclusions objectively.  ...  Information entropy is a quantitative form of information. If a system is a higher uncertainty, its H(X) will be higher. B.  ... 
doi:10.1109/his.2013.6920495 dblp:conf/his/YangCCSA13 fatcat:lrmtdxc7onaunnis2qihhyht2e
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