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Logical Entropy of Fuzzy Dynamical Systems
Entropy, 2016 Recently the logical entropy was suggested by D. Ellerman (2013) as a new information measure. The present paper deals with studying logical entropy and logical mutual information and their properties in a fuzzy probability space.
Dagmar Markechová, Beloslav Riečan
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Mutual information on the fuzzy sphere [PDF]
, 2014 We numerically calculate entanglement entropy and mutual information for a massive free scalar field on commutative (ordinary) and noncommutative (fuzzy) spheres.
Sabella-Garnier, Philippe
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Relations among similarity measure, subsethood measure and fuzzy entropy [PDF]
International Journal of Computational Intelligence Systems, 2013 In this paper we study the relations among similarity measure, subsethood measure and fuzzy entropy and present several propositions that similarity measure, subsethood measure and fuzzy entropy can be transformed by each other based on their axiomatic ...
Yingfang Li, Keyun Qin, Xingxing He
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IEEE Access, 2022 Probabilistic hesitant fuzzy sets (PHFSs), a significant expansion of hesitant fuzzy sets (HFSs), were suggested and intensively explored in order to address the problem of missing preference information. Based on previous research on PHFS, we discovered
Yubo Hu, Zhiqiang Pang
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Quantum Entropy for the Fuzzy Sphere and its Monopoles [PDF]
, 2014 Using generalized bosons, we construct the fuzzy sphere $S_F^2$ and monopoles on $S_F^2$ in a reducible representation of $SU(2)$. The corresponding quantum states are naturally obtained using the GNS-construction.
Acharyya, Nirmalendu +2 more
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Journal of Uncertainty Analysis and Applications, 2015 This paper deals with the divergence of fuzzy variables from a priori one. Within the framework of credibility theory, a fuzzy cross-entropy is defined to measure the divergence, and some mathematical properties are investigated. Furthermore, a minimum cross-entropy principle is proposed, which tells us that out of all membership functions satisfying ...
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On a weighted fuzzy knowledge measure with its application to multi-attribute decision-making [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 In a real-life problem with some ambiguity, the ‘fuzzy entropy’ measures the total amount of ambiguity associated with the fuzzy set. Analogous to this, a fuzzy knowledge measure may be considered for the total amount of precision present in a fuzzy ...
Surender Singh, Sumita Lalotra
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R-Norm Entropy and R-Norm Divergence in Fuzzy Probability Spaces
Entropy, 2018 In the presented article, we define the R-norm entropy and the conditional R-norm entropy of partitions of a given fuzzy probability space and study the properties of the suggested entropy measures.
Dagmar Markechová +2 more
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Solution of High Dimension Multi-objective Optimization Problem Based on Entropy and Membership Function [PDF]
Jisuanji gongcheng, 2016 A new fitness assignment strategy is proposed for solving the high dmension multi-objective optimization problem,which is the Fuzzy Relevance Entropy Method(FREM).The FREM is built by integrating the fuzzy information entropy theory and the membership ...
LIU Chao,HE Lijun,ZHU Guangyu
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Inherent Holography In Fuzzy Spaces and An N-tropic Approach To The Cosmological Constant Problem [PDF]
, 2006 In this letter we show that the noncommutative spaces, and in particular fuzzy spheres, are natural candidates which explicitly exhibit the holography, by noting that the smallest physically accessible volume is much larger that the expected Planckian ...
Abe +25 more
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