The slight variation we present here illustrates and emphasizes the essential elements and the minimal logical sequence to get as quickly as possible to our general axiomatic definition of entropy valid for nonequilibrium states no matter how "far" from thermodynamic equilibrium....
They begin with the axiomatic definition of Entropy – still falsely portrayed as the “measure of information” – then dive into involved technical arguments on “typicality” and “asymptotics”. For the non-mathematician most of the intuition is lost at that point. It takes much more efforts...
On Similarity and Entropy of Neutrosophic Soft Sets We define several distance measures between neutrosophic soft sets and give an axiomatic definition of neutrosophic entropy for a neutrosophic soft set. To ... Rdvan ahin,Ahmet Küük - 《Journal of Intelligent & Fuzzy Systems》 被引量: 51发表...
Axiomatic Origins of Mathematical Entropy: Grading Ordered Sets Shannon's entropy and other entropy-based concepts are derived from the new, more general concept of relative divergence of one "grading' function on a linearly ordered set from another such function. The definition of relative divergenc...
A generalized definition of rough approximation IEEE Transactions on Data and Knowledge Engineering, 12 (2000), pp. 331-336 View in ScopusGoogle Scholar [22] W.Z. Wu, W.X. Zhang Constructive and axiomatic approaches of fuzzy approximation operators Information Sciences, 159 (2004), pp. 233-25...
K. Varma, and V. Saroch. An axiomatic definition of Shannon's entropy. Applied Mathematics Letters, 5(4):45-46, 1992.K. Nambiar, P. K. Varma, and V. Saroch, "An axiomatic definition of Shannon's entropy," Applied Mathematics Letters, vol. 5, no. 4, pp. 45 - 46, 1992....
Entropy is a vital concept to measure uncertainties, in order to measure the uncertainties of fuzzy sets (FSs), intuitionist fuzzy sets (IFSs) and Pythagorean fuzzy sets (PFSs) more fully, in this paper, the axiomatic definition of fuzzy entropy of FSs is modified,...
Someremarks on axiomatic definition of entropy measure. J. Intell. Fuzzy Syst. 2017, 33. [CrossRef] c 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license...
Hesitancy entropyOverall entropyEntropy is a vital concept to measure uncertainties, in order to measure the uncertainties of fuzzy sets (FSs), intuitionist fuzzy sets (IFSs) and Pythagorean fuzzy sets (PFSs) more fully, in this paper, the axiomatic definition of fuzzy entropy of FSs is ...
In this paper, firstly, the axiomatic definition of fuzzy entropy is discussed. Then, neural networks model of fuzzy entropy is proposed, based on the computing capability of neural networks. In the end, two examples are discussed to show the efficiency of the model.数学季刊(英文版)QINGMing...