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## Entropy of Degree (r,s)

Sharma and Taneja (1975) [92] presented an axiomatic characterization of degree . It is as follows:

Let  be a real valued function satisfying

and
 (3.17)

where  be a continuous function with. Then

 (3.18)

Sharma and Taneja (1977) [93] extended the functional equation (3.17) by the following generalized additivity:

for all , and , where
and
with  and  real valued continuous functions defined over [0,1] and . This lead us to the measure (3.18) along with the trigonometric measures given in section 3.6.2.

21-06-2001
Inder Jeet Taneja
Departamento de Matemática - UFSC
88.040-900 Florianópolis, SC - Brazil