An overview on the construction of fuzzy set theories. (English) Zbl 1090.03025
The authors of this paper analyze some key issues involved in the construction of fuzzy set theories. They review both standard solutions (based on the well-known triangular norms, conorms and negations) as well as other proposals that provide alternative views on the definition of fuzzy connectives and their properties. For example, they consider the role of functionally expressible theories (like aggregation operators) and non-functionally expressible theories. Thus the paper gives a wide overview about this topic.
Reviewer: Claudi Alsina (Barcelona)
MSC:
| 03E72 | Theory of fuzzy sets, etc. |
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