In this paper, we introduce a new class of fuzzy linear regression model with fuzzy input-fuzzy output data using shape preserving arithmetic operations on L-R fuzzy numbers for least-squares fitting. A mixed nonlinear programming approach is used to derive the satisfying solution. This answers one of Diamond's questions [Inform. Sci. 46 (1988) 141]. (C) 2001 Elsevier Science Inc. All rights reserved.
机构:
Univ Roma La Sapienza, Dipartimento Stat Probabilita & Stat Applicate, I-00185 Rome, ItalyUniv Roma La Sapienza, Dipartimento Stat Probabilita & Stat Applicate, I-00185 Rome, Italy
D'Urso, P
Gastaldi, T
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Univ Roma La Sapienza, Dipartimento Stat Probabilita & Stat Applicate, I-00185 Rome, ItalyUniv Roma La Sapienza, Dipartimento Stat Probabilita & Stat Applicate, I-00185 Rome, Italy
机构:
Freiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, GermanyFreiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, Germany
Wünsche, A
Näther, W
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Freiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, GermanyFreiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, Germany