IJPAM: Volume 26, No. 2 (2006)

NOTE ON FUZZY ENTROPY OF VAGUE SETS

Zhang Cheng-Yi$^1$, Shi Yu-Qiang$^2$
$^1$Department of Computer Science and Mathematics
Hainan Normal University
Haikou, Hainan, 571158, P.R. CHINA
$^2$Department of Computer Science and Technology
Qiangzou University
Wuzhishan, Hainan, 572200, P.R. CHINA


Abstract.In this paper, we discussed the action the translation function from vague set to fuzzy set given by references [1], [2], and pointed out that a vague set is a special L-fuzzy set. We also studied the fuzzy entropy of vague sets in references [1], [2]. Based on the background of vague information, the fuzzy positive entropy and fuzzy negative entropy of vague set are defined. Their properties are discussed.

Received: August 11, 2005

AMS Subject Classification: 20N25, 04A72, 94D05

Key Words and Phrases: fuzzy set, vague set, fuzzy entropy

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 26
Issue: 2