A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory
作者： A. De Luca , S. Termini
DOI: 10.1016/S0019-9958(72)90199-4
关键词: Algebra 、 Fuzzy set 、 Fuzzy set operations 、 Discrete mathematics 、 Type-2 fuzzy sets and systems 、 Mathematics 、 Fuzzy measure theory 、 Fuzzy mathematics 、 Membership function 、 Fuzzy number 、 Defuzzification
摘要: A functional defined on the class of generalized characteristic functions (fuzzy sets), called “entropy”, is introduced using no probabilistic concepts in order to obtain a global measure of the indefiniteness connected with the situations described by fuzzy sets. This “entropy” may be regarded as a measure of a quantity of information which is not necessarily related to random experiments. Some mathematical properties of this functional are analyzed and some considerations on its applicability to pattern analysis are made.
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