Belief, plausibility, and probability measures on interval-valued type 2 fuzzy sets
✍ Scribed by I. Burhan Türkşen
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 143 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
✦ Synopsis
Belief (Bel), plausibility (Pl), and probability (P) measures can be formulated on interval-valued type 2 fuzzy sets with their representation in terms of ␣-level (crisp) sets. Recently, it was shown that interval-valued type 2 fuzzy sets naturally arise with modified and restricted multivalued maps of Dempster. An analogy to Dempster's upper and lower probabilities, upper and lower beliefs, and Pl and P measures can be determined over interval-valued type 2 fuzzy sets. It is shown that the application of appropriate t-norms over ␣-values of ␣-level crisp sets in combination with the axiom of Bel measure entails appropriate weights for the overlapping ␣-level (crisp) set conjunctions where Bel measure is applicable.