Fuzzy Nominal Scales |
|---|
| Eric Benoit, Laurent Foulloy |
- Abstract:
- The main objective of a measurement process is to convert the physical state of an entity into an information entity. At a higher level, relations on physical states are also converted into relations between the information entities. Then it’s possible to manipulate the information entities with these relations instead of manipulating the physical states. Nominal scales are scales where the only relation being converted is an equivalence relation. In most applications of nominal scales, the symbolic representation of a physical state is a symbol. An other approach shows that a physical state can be represented by a fuzzy subset of symbols. This paper presents how a representation with fuzzy subsets of symbols can be used to build a scale. Then, the incidence of the fuzziness on this new kind of nominal scale, called fuzzy nominal scale, is analysed.
- Keywords:
- measurement theory, scales, nominal scales, fuzzy scales
- Download:
- IMEKO-TC7-2002-002.pdf
- DOI:
- -
- Event details
- IMEKO TC:
- TC7
- Event name:
- TC7 Symposium 2002
- Title:
- Symposium on New Developments in the Field of Measurement Science
- Place:
- Cracow, POLAND
- Time:
- 25 June 2002 - 27 June 2002