Level sets and the representation theorem for intuitionistic fuzzy sets

Soft Computing

Volumn 14, Issue 1, 2010, Pages 1-7

  Yager, Ronald R ^a  

^a MACHINE INTELLIGENCE INSTITUTE   (United States)

Author keywords

Fuzzy sets; Intuitionistic; Level sets

Indexed keywords

EXTENSION PRINCIPLES; INTERVAL-VALUED; INTERVAL-VALUED FUZZY SETS; INTUITIONISTIC; INTUITIONISTIC FUZZY SETS; LEVEL SET; LEVEL SETS; MEMBERSHIP GRADE; POWER SET; REPRESENTATION THEOREM; ZADEH'S EXTENSION PRINCIPLES;

LEVEL MEASUREMENT; STANDARDS;

FUZZY SETS;

EID: 69249205544     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-008-0385-x     Document Type: Article

References (12)

1. Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87-96. doi: 10.1016/S0165-0114(86)80034-3
2. Atanassov KT (1999) Intuitionistic fuzzy sets. Springer, Heidelberg
3. Atanassov KT, Stoeva S (1983) Intuitionistic fuzzy sets. In: Proceedings of the Polish symposium on interval and fuzzy mathematics, Poznan, pp 23-26
4. Deschrijver G, Kerre EE (2003) On the relationship between some extensions of fuzzy set theory. Fuzzy Sets Syst 133:227-235. doi: 10.1016/S0165-0114(02)00127-6
5. Pedrycz W, Gomide F (2007) Fuzzy systems engineering: Toward human-centric computing. Wiley, New York
6. Walker CL, Walker EA, Yager RR (2008) Some comments on level sets of fuzzy sets. In: Proceedings of world congress on computational intelligence, Hong Kong, pp 1227-1230
7. Xu Y, Kerre EE, Ruan D, Song Z (2001) Fuzzy reasoning based on the extension principle. Int J Intell Syst 16:469-495. doi: 10.1002/int.1019
8. Yager RR (2008) Level sets and the extension principle for interval valued fuzzy sets and its application to uncertainty. Inf Sci 178:3565-3576. doi: 10.1016/j.ins.2008.05.022
9. Yager RR (1986) A characterization of the extension principle. Fuzzy Sets Syst 18:205-217. doi: 10.1016/0165-0114(86)90002-3
10. Zadeh LA (1965) Fuzzy sets. Inf Contr 8:338-353. doi: 10.1016/ S0019-9958(65)90241-X
11. Zadeh LA (1971) Similarity relations and fuzzy orderings. Inf Sci 3:177-200. doi: 10.1016/S0020-0255(71)80005-1
12. Zadeh L (1975) The concept of a linguistic variable and its application to approximate reasoning: Part 1. Inf Sci 8:199-249. doi: 10.1016/ 0020-0255(75)90036-5