Using an additive fuzzy measure a notion of the entropy of a finite fuzzy partition has been defined [D. Dumitrescu, On fuzzy partitions, in "Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj-Napoca, 1983;" pp. 57-60; D. Dumitrescu and M. Barbu, Fuzzy entropy and processes
The myth of the unique decomposability: specializing the Herfindahl and entropy measures?
โ Scribed by William Acar; Kizhekepat Sankaran
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 57 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0143-2095
No coin nor oath required. For personal study only.
โฆ Synopsis
This research note investigates the trend towards specializing the Herfindahl index H for measuring industry concentration and the entropy measure E for expressing firm diversity. Examining the "decomposability" of E and H, we show that the professed overriding advantage of the entropy measure with respect to decomposability is not its exclusive preserve; the paper contains a proof that this property is also shared by the Herfindahl index. It is also shown that, due to its more stable range, the H index is more versatile with respect to inversion than the E measure. Strategy researchers are thereby cautioned that the current trend toward an increased use of entropy is risky and should be reassessed.
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