Comparison of fuzzy partitions based on their α-cuts

Fuzzy Sets and Systems

Volumn 105, Issue 1, 1999, Pages 99-112

  Bodjanova, Slavka ^a  

^a TEXAS A AND M UNIVERSITY KINGSVILLE   (United States)

Author keywords

Aggregation; Equivalence; Fuzzy partitions; Partial order; cut

Indexed keywords

EID: 0040962401     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(97)00240-6     Document Type: Article

References (6)

1. [1] J.C. Bezdek, Pattern Recognition with Fuzzy Objective Functions Algorithms, Plenum Press, New York, 1981.
2. [2] J.C. Bezdek, J.D. Harris, Convex decomposition of fuzzy partitions, J. Math. Anal. Appl. 67 (1980) 490-512.
3. [3] S. Bodjanova, Ordering of fuzzy partitions, in: E. Diday et al. (Eds.), New Approaches in Classification and Data Analysis, Springer, Berlin, 1994.
4. [4] B. Bouchon, C. Cohen, Partitions and fuzziness, J. Math. Anal. Appl. 124 (1986) 166-183.
5. [5] A. De Luca, S. Termini, A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory, Inform. and Control 20 (1972) 301-312.
6. [6] J.G. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall, Englewood Cliffs, NJ, 1995.