Journal
FUZZY SETS AND SYSTEMS
Volume 310, Issue -, Pages 1-13Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2016.03.013
Keywords
Fuzzy numbers; Trapezoidal approximations; Triangular approximations; Linear operators; Expected interval; Value; Ambiguity
Funding
- Ministry of Science and Technology, Taiwan [104-2115-M-024-004]
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Recently, many scholars studied approximations of fuzzy numbers by specific fuzzy numbers under preservation of some operators. In fact, these approximations may not exist for some linear operators. The purpose of this paper is to study necessary and sufficient conditions of linear operators which are preserved by interval, triangular, symmetric triangular, trapezoidal, or symmetric trapezoidal approximations of fuzzy numbers. In addition, an effective method for solving such problems is proposed. (C) 2016 Published by Elsevier B.V.
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