Open AccessON AXIOMATIC CHARACTERISATION OF GENERALIZED QUALITATIVE MEASURE OF VARIATION OF INFORMATION THROUGH GENERATING FUNCTION
Author(s) -
Ritesh Singh,
Jayant Bhardwaj
Publication year - 1990
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.21.1990.4685
Subject(s) - measure (data warehouse) , axiom , mathematics , variation (astronomy) , axiomatic system , function (biology) , sequence (biology) , data mining , computer science , physics , geometry , genetics , evolutionary biology , biology , astrophysics
The aim of the present contribution is to define a generalized qual- itative measure of variation of information through generating function and to characterize it axiomatically. In this sequence the generaliz.ed qualitative measure of information improvexnent as the difference of generalized measure of information of variation defined earlier is also defined. Most of the measures studied so far thus turns out to be particular ones. Some basic applicative properties are discussed.