Composite Gauss-Legendre Formulas for Solving Fuzzy Integration | Zendy

Xiaobin Guo | Zendy; Dequan Shang | Zendy; Xiaoquan Lu | Zendy

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Composite Gauss-Legendre Formulas for Solving Fuzzy Integration

Author(s) -

Xiaobin Guo,

Dequan Shang,

Xiaoquan Lu

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/873498

Subject(s) - legendre polynomials , mathematics , gauss , convergence (economics) , numerical integration , fuzzy logic , legendre's equation , mathematical optimization , algebra over a field , mathematical analysis , pure mathematics , computer science , artificial intelligence , physics , quantum mechanics , economics , economic growth

Two numerical integration rules based on composition of Gauss-Legendre formulas for solving integration of fuzzy numbers-valued functions are investigated in this paper. The methods' constructions are presented and the corresponding convergence theorems are shown in detail. Two numerical examples are given to illustrate the proposed algorithms finally

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