Tsallis entropy of fuzzy -algebras on F-probabilitymeasure spaces

The Shannon entropy and the logical entropy of fuzzy -algebras are well-known instancesof entropy. In this paper, we introduce and study the Tsallis entropy of order of fuzzy 􀀀algebras onF􀀀probability measure spaces, where ۲ (۰; ۱) [ (۱;۱). Moreover, we study the conditional version ofthis entropy and examine its basic properties