๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets

โœ Scribed by P. Burillo; H. Bustince


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
521 KB
Volume
78
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

โœฆ Synopsis


We recall the definitions of intuitionistic fuzzy sets and interval-valued fuzzy sets with the relation between these sets established by K. Atanassov. We define the distance measure between intuitionistic fuzzy sets and we give an axiom definition of intuitionistic fuzzy entropy and a theorem which characterizes it. Finally, we study a very special entropy and recall that all we have done for intuitionistic fuzzy sets is also good for interval-valued fuzzy sets.


๐Ÿ“œ SIMILAR VOLUMES


Fuzzy entropy on intuitionistic fuzzy se
โœ Wen-Liang Hung; Miin-Shen Yang ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 109 KB ๐Ÿ‘ 2 views

In this article we exploit the concept of probability for defining the fuzzy entropy of intuitionistic fuzzy sets ~IFSs!. We then propose two families of entropy measures for IFSs and also construct the axiom definition and properties. Two definitions of entropy for IFSs proposed by Burillo and Bust

A note on correlation of interval-valued
โœ Dug Hun Hong ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 276 KB

In this note, we generalize the concepts of correlation and correlation coefficient of interval-valued intuitionistic fuzzy sets in a general probability space and generalize the results of Bustince and Burillo (1995) with remarkably simple proofs. We also introduce three more decomposition theorems