Abstract
Inclusion measure and entropy of fuzzy sets are two basic concepts in fuzzy set theory. In this paper, we investigate the relationship between inclusion measure and entropy of fuzzy sets in detail, propose two theorems that inclusion measure and entropy of fuzzy sets can be transformed by each other based on their axiomatic definitions and give some formulas to calculate inclusion measure and entropy of fuzzy sets.
Supported by the Nature Science Foundation of China (Grant No.60474023), Research Fund for Doctoral Program of Higher Education (20020027013), Science Technology Key Project Fund of Ministry of Education (03184) and Major State Basic Research Development Program of China (2002CB312200).
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Zeng, W., Feng, Q., Li, H. (2006). Relationship Between Inclusion Measure and Entropy of Fuzzy Sets. In: Wang, GY., Peters, J.F., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2006. Lecture Notes in Computer Science(), vol 4062. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11795131_48
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DOI: https://doi.org/10.1007/11795131_48
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