In this article we exploit the concept of probability for defining the fuzzy entropy of intuitionistic fuzzy sets ~IFSs!. We then propose two families of entropy measures for IFSs and also construct the axiom definition and properties. Two definitions of entropy for IFSs proposed by Burillo and Bust
Entropy for intuitionistic fuzzy sets
β Scribed by Eulalia Szmidt; Janusz Kacprzyk
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 120 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
A non-probabilistic-type entropy measure for intuitionistic fuzzy sets is proposed. It is a result of a geometric interpretation of intuitionistic fuzzy sets and uses a ratio of distances between them proposed in Szmidt and Kacprzyk (to appear). It is also shown that the proposed measure can be deΓΏned in terms of the ratio of intuitionistic fuzzy cardinalities: of F β© F c and F βͺ F c .
π SIMILAR VOLUMES
We recall the definitions of intuitionistic fuzzy sets and interval-valued fuzzy sets with the relation between these sets established by K. Atanassov. We define the distance measure between intuitionistic fuzzy sets and we give an axiom definition of intuitionistic fuzzy entropy and a theorem which
A definition of the concept βintuitionistic fuzzy setβ (IFS) is given, the latter being a generalization of the concept βfuzzy setβ and an example is described. Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, def
This paper proves that the concepts of intuitionistic fuzzy sets and intuitionistic L-fuzzy sets and the concept of L-fuzzy sets are equivalent.