Fuzzy integrals and fuzzy measures with their values in complete lattices
β Scribed by Gabriele H Greco
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 425 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Given a measurable space X, F F , a fuzzy measure on X, F F , and a nonnegative function f on X that is measurable with respect to F F, we can define a new set Ε½ . function on X, F F by the fuzzy integral. It is known that is a lower Ε½ . semicontinuous fuzzy measure on X, F F and, moreover, if is fi
The Sugeno integral has been identified and used as an aggregation operator many times in the past. In this paper, an extension of the Sugeno integral for the framework of possibilistic truth values is presented, resulting in a powerful domain-specific aggregation operator. Next, it is shown how the
Absolute continuity, s-boundedness, and extensions are studied, in the context of the so-called RD-convergence, for set functions taking values in Dedekind complete l-groups. Subsequently, we obtain results of uniform s-boundedness for RD-convergent sequences of measures (Vitali-Hahn-Saks-NikodΓ½m th