Download Advances in Education and Management: International by Yanli Li, Lijun Li, Jinghui Hu (auth.), Mark Zhou (eds.) PDF

By Yanli Li, Lijun Li, Jinghui Hu (auth.), Mark Zhou (eds.)

This four-volume-set (CCIS 208, 209, 210, 211) constitutes the refereed lawsuits of the overseas Symposium on utilized Economics, company and improvement, ISAEBD 2011, held in Dalian, China, in August 2011. The papers tackle concerns regarding utilized Economics, company and improvement and canopy a number of study parts together with Economics, administration, schooling and its Applications.

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N − 1, and fα−n = fα+n , + d− αi ≥ 0 and dαi ≤ 0 for any i = 0, . . , n, − − − + + if fαi = fαi+1 (or fα+i = fα+i+1 ), then d− αi = dαi+1 (or dαi = dαi+1 ). An LU-fuzzy number will be denoted by A = (A− , A+ ) and the set of all LUfuzzy numbers defined over a partition 0 = a0 < · · · < αn = 1 will be denoted by FLU (α0 , . . , αn ). 1 For details, we refer to [10,19]. Option Pricing with Fuzzy Parameters via Monte Carlo Simulation 29 Let D ⊆ Rm and g : D → R be a real function which has all partial derivatives on the domain D, ie.

Option Pricing with Fuzzy Parameters via Monte Carlo Simulation 29 Let D ⊆ Rm and g : D → R be a real function which has all partial derivatives on the domain D, ie. gxk (a1 , . . , am ) ∈ R for any (a1 , . . , am ) ∈ D and k = 1, . . , m. A general procedura showing how to extend the function g to a function g˜ : D → FLU (α0 , . . , αn ), where D ⊆ FLU (α0 , . . , αn )m is a suitable domain, can be formulated within the two following steps:2 1. Put m = {1, . . ,π(m) fα0 . . ,π(m) dα0 . .

M) Bk ), (8) where min (and analogously max) is defined by min a c , b d = a b if and only if a ≤ c or (a = c and b ≤ d). Example 1. One can simply check that 1. (A− , A+ ) + (B− , B+ ) = (A− + B− , A+ + B+ ), 2. k(A− , A+ ) = (kA− , kA+ ) and −k(A− , A+ ) = (−kA+ , −kA− ) for k ≥ 0, 3. exp [(A− , A+ )] = (exp[A− ], exp[A+ ]) with exp[A− ]αk = exp[fα−k ] exp[fα−k ]d− αk and exp[A+ ]αk = exp[fα+k ] exp[fα+k ]d+ αk , where the usual addition of matrices and the usual scalar multiplication are applied.

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