Data-Informed Fuzzy Measures for Fuzzy Integration of Intervals and Fuzzy Numbers

作者: Timothy C. Havens , Derek T. Anderson , Christian Wagner

DOI: 10.1109/TFUZZ.2014.2382133

关键词:

摘要: The fuzzy integral (FI) with respect to a measure (FM) is powerful means of aggregating information. most popular FIs are the Choquet and Sugeno, research focuses on these two variants. arena FM much more populated, including numerically derived FMs such as Sugeno $\lambda$ -measure decomposable measure, expert-defined FMs, data-informed FMs. drawback that one must know something about relative values input sources. However, there many problems where this information unavailable, crowdsourcing. This paper or those computed by an algorithm analyzes some property data itself, gleaning importance each source they provide. original instantiation agreement FM, which assigns high confidence combinations sources agree another. extends upon our previous work in proposing uniqueness additive for interval-valued evidence. We then extend number (FN)-valued inputs. demonstrate proposed interval FN evidence both synthetic real-world data.

参考文章(36)
Michel Grabisch, Fuzzy integral for classification and feature extraction Physica Verlag. pp. 415- 434 ,(2000)
Michel Grabisch, Hung T Nguyen, Elbert A Walker, Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference ,(1994)
Toshiaki Murofushi, Michel Grabisch, Michio Sugeno, Fuzzy Measures and Integrals: Theory and Applications Physica Verlag. ,vol. 40, ,(2000)
Derek T. Anderson, James M. Keller, Timothy C. Havens, Learning Fuzzy-Valued Fuzzy Measures for the Fuzzy-Valued Sugeno Fuzzy Integral Computational Intelligence for Knowledge-Based Systems Design. pp. 502- 511 ,(2010) , 10.1007/978-3-642-14049-5_52
Antoine Billot, Fuzzy Decision Theory Uncertain Decisions. pp. 185- 213 ,(1999) , 10.1007/978-1-4615-5083-9_9
Deli Zhang, Zixiao Wang, Fuzzy integrals of fuzzy-valued functions Fuzzy Sets and Systems. ,vol. 54, pp. 63- 67 ,(1993) , 10.1016/0165-0114(93)90361-K
Caimei Guo, Deli Zhang, Congxin Wu, Fuzzy-valued fuzzy measures and generalized fuzzy integrals Fuzzy Sets and Systems. ,vol. 97, pp. 255- 260 ,(1998) , 10.1016/S0165-0114(96)00276-X
Christian Wagner, Derek T. Anderson, Timothy C. Havens, Generalization of the Fuzzy Integral for discontinuous interval- and non-convex interval fuzzy set-valued inputs ieee international conference on fuzzy systems. pp. 1- 8 ,(2013) , 10.1109/FUZZ-IEEE.2013.6622507
Wu Congxin, Wang Shuli, Ma Ming, Generalized fuzzy integrals. Part I: fundamental concepts Fuzzy Sets and Systems. ,vol. 57, pp. 219- 226 ,(1993) , 10.1016/0165-0114(93)90162-B
Anhai Doan, Raghu Ramakrishnan, Alon Y. Halevy, Crowdsourcing systems on the World-Wide Web Communications of the ACM. ,vol. 54, pp. 86- 96 ,(2011) , 10.1145/1924421.1924442