Abstract
The writer put forward the concept of an interval and a fuzzy (value) functional variation on base of the classic function and functional variation in 1991 [Cao91a]. In 1992, he extended the research of convex function and convex functional into the consideration of the interval and the fuzzy environment. Later he processed the research for a conditional extremum variation problem in interval and fuzzy-valued functional [Cao01e] and the functional variation with fuzzy functions [Cao99a].
In this chapter, interval and fuzzy-valued functional variation are discussed as follows.
Section 1, Interval functional and its variation
Section 2, Fuzzy-valued functional and its variation
Section 3, Convex interval and fuzzy function and functional
Section 4, Convex fuzzy-valued function and functional
Section 5, Variation of interval and fuzzy-valued functional condition extremum
Section 6, Variation of condition extremum on functional with fuzzy functions
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Cao, BY. (2010). Interval and Fuzzy Functional and their Variation. In: Optimal Models and Methods with Fuzzy Quantities. Studies in Fuzziness and Soft Computing, vol 248. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10712-2_10
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DOI: https://doi.org/10.1007/978-3-642-10712-2_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10710-8
Online ISBN: 978-3-642-10712-2
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