A reformulation of entropy in the presence of indistinguishability operators

Authors:
E. Hernández;J. Recasens
Affiliations:
Universitat Politècnica de Catalunya, Secció de Matemàtiques i Informàtica, ETSAB. Avda. Diagonal 649, 08028 Barcelona, Spain;Universitat Politècnica de Catalunya, Secció de Matemàtiques i Informàtica, ETSAV. Pere Serra 1-15, 08190 Barcelona, Sant Cugat, Spain
Venue:
Fuzzy Sets and Systems
Year:
2002

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Abstract

This paper deals with the measurement of entropy when an indistinguishability relation on the set of events has been defined. Our approach states that entropy could be measured in terms of the observed distinguishability of the set of events. In this sense, the "observer paradigm" is introduced, and definitions for joint and conditional entropy under this paradigm are given. We also present some interesting properties and relationships with Shannon's entropy measure.