Abstract
This chapter founds the fundamental theory of flexible sets. Firstly, it gives the types and definitions of flexible sets and analyzes and expounds the relationships and similarities and differences between flexible set and ordinary (rigid) set, flexible set and fuzzy set, and flexible set and rough set, respectively; then, it defines the operations on flexible sets and the relationships between flexible sets. In addition, the concept of flexible relations is also presented.
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Lian S (2009) Principles of imprecise-information processing. Science Press, Beijing
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
Pawlk Z (1982) Rough sets. Int J Inf Comput Sci 11(5):341–356
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© 2016 Springer Science+Business Media Singapore
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Lian, S. (2016). Flexible Sets and Operations on Flexible Sets. In: Principles of Imprecise-Information Processing. Springer, Singapore. https://doi.org/10.1007/978-981-10-1549-6_5
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DOI: https://doi.org/10.1007/978-981-10-1549-6_5
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-1547-2
Online ISBN: 978-981-10-1549-6
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