Abstract
This chapter proposes the concepts of flexible numbers, flexible-numbered vectors, and flexible vectors based on flexible linguistic values and flexible sets; gives their definitions and representations; and analyzes their geometric characteristics. Further, this chapter defines the arithmetic operations, scalar multiplication, and exponentiation of flexible numbers; defines the addition and scalar multiplication of flexible vectors; and points out the properties of these operations. Then, on the bases of flexible numbers and flexible linguistic functions, this chapter proposes the concept of flexible functions, gives their definitions and types, analyzes their analytic expressions, and further discusses the flexible-vector functions.
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© 2016 Springer Science+Business Media Singapore
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Lian, S. (2016). Flexible Numbers and Flexible Functions. In: Principles of Imprecise-Information Processing. Springer, Singapore. https://doi.org/10.1007/978-981-10-1549-6_10
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DOI: https://doi.org/10.1007/978-981-10-1549-6_10
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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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