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In this paper, we introduce a new class of fuzzy measures, referred to as q-measures, based on a modification of the definition of the well-known Sugeno λ-measure. Our proposed definition of the q-measures not only includes the λ-measure as a special case, but also preserves all desirable properties and avoids some of the limitations of the conventional λ-measure. The q-measure approach provides a more flexible and powerful method for constructing various fuzzy measures. We provide an iterative algorithm for constructing an interesting sequence of q-measures and analytically prove its convergence as a distinguishing characteristic of the proposed formulation.
Published in:
Fuzzy Systems, IEEE Transactions on
(Volume:11
,
Issue:
3
)
Date of Publication: June 2003
- Page(s):
- 419 - 426
- ISSN :
- 1063-6706
- INSPEC Accession Number:
- 7663734
- Digital Object Identifier :
- 10.1109/TFUZZ.2003.812701
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 11 June 2003
- Issue Date :
- June 2003
- Sponsored by :
- IEEE Computational Intelligence Society
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