IJPAM: Volume 2, No. 2 (2002)
UNCERTAINTY MEASURES OF TYPE
UNDER SIMILARITY RELATIONS
UNDER SIMILARITY RELATIONS
Gurdial Arora
, Frederick Petry
, Theresa Beaubouef
Dept. of Mathematics
Xavier University of Louisiana
New Orleans, LA 70125, USA
e-mail: gdial@xula.edu
Center for Intelligence and Knowledge - Based Systems
Electrical Engineering and Computer Science
Tulane University
204 Stanley Thomas Hall
New Orleans, Louisiana 70118-5674, USA
e-mail: petry@eecs.tulane.edu
Dept. of Computer Science
Southeastern Louisiana University, Hammond, LA 70402, USA
e-mail: tbeaubouef@selu.edu
, Frederick Petry, Theresa Beaubouef
Dept. of Mathematics
Xavier University of Louisiana
New Orleans, LA 70125, USA
e-mail: gdial@xula.edu
Center for Intelligence and Knowledge - Based Systems
Electrical Engineering and Computer Science
Tulane University
204 Stanley Thomas Hall
New Orleans, Louisiana 70118-5674, USA
e-mail: petry@eecs.tulane.edu
Dept. of Computer Science
Southeastern Louisiana University, Hammond, LA 70402, USA
e-mail: tbeaubouef@selu.edu
Abstract.In this paper, we will consider the generalization of the information measure of type under similarity relation. In other words the generalization will be considered under the situations in which the underlying objects of concern have a similarity relationship and a probability distribution is also defined on the objects. The results will generalize the results in the case of Shannon's entropy proved by Yager.
Received: June 5, 2002
AMS Subject Classification: 94A17
Key Words and Phrases: entropy, similarity relation, fuzzy subsets, measures of fuzziness
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2002
Volume: 2
Issue: 2
